All Questions
Tagged with resource-recommendations general-relativity
209 questions
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Reference for property of $\psi_4$ of Newman-Penrose formalism
It is known that the real and imaginary part of the Newman-Penrose scalar $\psi_4$ depend on the plus and cross components of the gravitational wave.
Is there a reference where this property is proved?...
1
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1
answer
49
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Conceptual questions about Newman-Penrose Formalism
I'm taking an advanced undergraduate self-study course on tetrad methods and Newman-Penrose formalism. I'm following Chandrasekhar's masterpiece Mathematical Theory of Black Holes, I'm working through ...
2
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1
answer
103
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Where can I find the minimum math needed for General Relativity? [closed]
The knowledge that I already have is linear algebra, ordinary co-ordinate geometry, some vectors, calculus up to basic differential equations, and Special Relativity. Where can I learn the minimum ...
1
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0
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59
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Requesting reliable references for the Physical Meaning of Differential Geometry objects in General Relativity
I am seeking to understand the physical significance of certain differential geometry objects commonly used in general relativity, such as:
The Ricci tensor
The Ricci scalar (curvature scalar)
The ...
2
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0
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136
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Prerequisites to learn/work on double copy theory and amplitude methods for gravity
I am a PhD student in classical gravity; specifically in BH perturbation and GW.
I am interested in learning about the double copy and the use of scattering amplitudes in understanding GW physics. I ...
1
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0
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85
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Books that approach General Relativity via differential forms, without coordinates [duplicate]
Does someone know about some books about differential geometry applied to General Relativity that are written using the language of differential forms, fiber bundles, & spin connection, and not ...
3
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2
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141
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References on Newton-Cartan Gravity
I'm interested in learning a bit about Newton-Cartan gravity, and I would like some references on the topic. I am already familiar with differential geometry and general relativity, so those could be ...
0
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1
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76
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Metric of a rotating Cosmic String
I searched on the internet superficially but I couldn't find it.
Is there any reference that find the solution to Einstein's Field Equations for a rotating Cosmic String?
Personally haven't got the ...
2
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0
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111
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Numerical Relativity for Computer Scientists
What resources on numerical relativity/simulation would be suitable for a primarily theoretical computer science background [algorithms analysis, complexity theory, etc.]? Importantly, while I'm ...
1
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0
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77
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Use of mathematical structure on physics [closed]
I want resources for studying in detail the connection between the mathematical structures of physical theories and said physical theories.
For example, i know what a Hilbert space or a principal ...
2
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1
answer
64
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Introductory references on the gravitational memory effect
I'm currently reading Andrew Strominger's Lectures on the Infrared Structure of Gravity and Gauge Theory. While I love the reference, the discussion on the gravitational memory effect feels a bit ...
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105
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Raising a solution to 4D after having dimensionally reduced it
I am applying the method that Gibbons presents in this article, and it consists of dimensionally reducing a four-dimensional Lagrangian using Kaluza Klein in $S_1$, to a three-dimensional one and ...
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1
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66
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Math and Pseudo code paper on black hole binary simulation
I want to do a short practice to see how mass evolve space and how space curvature evolve mass distribution.
Most of the GR simulations were rather complicated but I think the black hole binary had ...
2
votes
1
answer
353
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Metric tensor calculation tool? [duplicate]
The Einstein field equations are
$G_{\mu\nu}+\Lambda g_{\mu\nu}=\kappa T_{\mu\nu}$
which would be easy enough to solve if not for all of the nonlinear dependencies on $g$ that the Einstein tensor $G$ ...
0
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0
answers
38
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Seeking Advice to Dive into General and Special Relativity [duplicate]
I've got a second degree in engineering and a solid grip on the basics of physics. Now, I'm itching to take a deep dive into the worlds of general and special relativity.
I've explored some ...
1
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0
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180
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Einstein equivalence principle and running of couplings
It is known that a spacetime variation of the dimensionless gauge coupling constants of the standard models would lead to a violation of the Einstein equivalence principle (EEP). This point is ...
1
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0
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221
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Examples of the Kaluza-Klein dimensional reduction method
I am looking for references or articles that apply or explain how to apply the dimensional reduction method to known metrics such as Minkowski, Schwarzschild, Kerr, etc. The references I found ...
3
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0
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143
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Resources for Noether's Theorem (First and Second) including in a General Relativistic Context
I'm after any in-depth expositions on Noether's Theorems, especially graduate-level textbooks, which include application/discussion in a general relativistic context. Strangely enough I don't see it ...
4
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1
answer
180
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Derivation of self-dual gravity formulae
I am trying to read and understand this paper by Monteiro, Stark-Muchao, and Wikeley about self-dual yang-mills and self-dual gravity.
In the introduction to this paper, they review a way to ...
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0
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125
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Looking for research papers in General relativity to read as a non-expert
I work in tech but I at some point I almost took a career path into theoretical physics. I changed my studies very late to data science and machine learning (my last masters year) and before that I ...
1
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1
answer
115
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Self-studying General Relativity [duplicate]
How can I learn General Relativity? Am a undergrad student, who happens to be interested in general relativity. I want to learn it by heart. What are the prerequisites for it?
As a fresher who just ...
0
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0
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70
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Is there a modern, worthy successor to Misner/Thorne/Wheeler "Gravitation"? [duplicate]
About to purchase Misner, Thorne and Wheeler's Gravitation I wonder if there is a newer book covering the topic in similar depth and breath and all that which might also be “a pedagogic masterpiece,” ...
3
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0
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76
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Lectures on wormholes
I am currently writing a review as a thesis project and I must cover black holes and wormholes, static and stationary. For black holes I found this lecture where black holes are approached from a more ...
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0
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90
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Geometrically Impossible Spacetime
A result in math says that $S^n$ carries a Lorentzian metric iff $n$ is odd.
Using it we can observe that a 2-sphere spacetime is impossible, a 3-sphere spacetime is geometrically possible, but again ...
2
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0
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80
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Textbooks on the Schwarzschild-de-Sitter Metric
Does anybody know a textbook on the geometry of the Schwarzschild-de-Sitter metric and its maximal extension? It's not in Hawking & Ellis.
3
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0
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133
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How to use Python to get mathematical expressions in General Relativity [duplicate]
I'd like to get the metric tensor that describes a non-rotating, uncharged, perfectly spherical black hole whose radius grows with time (it gains mass). For now, I have:
$g_{\mu\nu}=\begin{pmatrix}
-c^...
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0
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73
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More mathematically formal textbook on general relativity [duplicate]
I was going through the lectures of F. Schuller in the International Winter School on Gravity and Light 2015, and I finally understand thing due to the differential geometry chartless formalism. But I ...
1
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1
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168
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Books and review articles for numerical relativity?
What are good books or review articles to read for numerical relativity?
I have read some textbooks on the 3+1 formalism (such as the book by Baumgarte and Shapiro), but I would like to have a ...
2
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0
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57
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References about Boundary Conditions ADM Relativity (Thiemann)
I'm reading chapter $1.5.1$ (Section about Boundary Conditions) at Thiemann's Loop Quantum Gravity book and its taking a while to understand whats going on.
Along page 61 there's statements like $\...
3
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0
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128
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Proof that the Kruskal-Szekeres extension is maximal
I am trying to find a rigorous proof that the Kruskal-Szekeres extension is maximal. The Kruskal-Szekeres extension of the well-known Schwarzschild solution is given by the Lorentzian manifold $(M_{KS}...
0
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0
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55
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Seeking a reference explicitly displaying the Lorentz factor in the context of Schwarzschild geodesics
I am searching for a reference that explicitly displays the content of FIG. 1 (especially, the following equation) mentioned on the Wikipedia site to use as a citation:
$$E = mc^2 \sqrt{\frac{1-r_s/r}{...
1
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0
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195
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References to difficulties with quantization of gravity?
We always hear from the community that gravity is difficult to quantize, and quantum gravity field theories have some difficulties in terms of renormalization and are associated with quantum anomalies,...
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2
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242
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Gravity from a reduction of the structure group of a frame bundle $FX$ to a Lorentz group $SO(1,3)$
According to https://en.wikipedia.org/wiki/World_manifold, gravity can be understood as follows:
In accordance with the geometric Equivalence Principle, a world manifold possesses a Lorentzian ...
1
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1
answer
180
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Physics prerequisites for quantum mechanics and general relativity [closed]
I’m a mathematician with a specialization involving differential equations and probability theory, and I’ve also spent a lot of time studying topics like differential geometry, algebraic topology, and ...
1
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1
answer
126
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Resources for Gravitational Soliton (specially on the Belinski–Zakharov transform)
Can someone provide some resources (books, notes, articles etc.) on Gravitational Soliton (specially on the Belinski–Zakharov transform)?
I've found only the following two reference from the Wikipedia ...
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0
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57
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Reference for Classical probability theory implemented on General Relativity
I am looking for a reference for something like : a probability density put on the ADM phase space, thereby making the metric probabilistic in the classical probability sense. But not exactly this. I ...
2
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0
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70
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ADM equations with cosmological constant
Does anyone know a reference in which the ADM equations for general relativity (the equations for the spatial metric and conjugate momentum or extrinsic curvature using the lapse and shift in the 3+1 ...
1
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0
answers
38
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Book Suggestion for GR [duplicate]
I need to hear suggestions on some text books on General Relativity that is self-contained, at least containing the sufficient material to go till Einstein Field equations, Schwarzschild solution and ...
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0
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133
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Advanced index notation
I am currently profficient with basic Einstein index notation, however there are many advanced things with Lorentz indices (such as derivatives, differences between which index is written first on a ...
3
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1
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844
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Book recommendation for black hole thermodynamics?
So I was reading this wonderful article about black hole thermodynamics.
https://hapax.github.io/physics/teaching/bh-thermo/
Can someone recommend a book which covers all 4 laws of black hole ...
4
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0
answers
229
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Reference for list of the non-zero, unique components of the Riemann tensor for the Kerr metric
Does there exist textbook or webpage which has a list of the unique components of $R^{\mu}_{\nu \alpha \beta}$ for the Kerr metric?
Such a reference is easy enough to find for Schwarzchild (including ...
3
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1
answer
170
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What is a complete book for Gravitational Wave Detectors
I would like to find textbook/lecture notes which include the following:
explain how gravitational waves are produced
the physical principles underlying detectors of gravitational waves (particulary ...
3
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1
answer
71
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Resources on Post-Einsteinian Results in GR
What are some good books, lecture notes, articles, etc. that can be used as introduction to the landscape of major results in general relativity since Einstein? In terms of the timeline, I'm thinking ...
1
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0
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77
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Some resources on quantising spin 2 fields in flat and curved space time
I want to understand how one can quantize spin 2 fields. Any resource which starts with a flat background before moving on to curved backgrounds would be great. So far, I have found this article but I ...
1
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1
answer
94
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Book/Article recommendation about modified gravity (scalar/tensor/scalar-tensor theories)
Is there a book or article that discusses the modified gravity theories scalar/tensor/scalar-tensor (maybe others as well) theories? (Look at this wiki page for a general overview of the theories that ...
1
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0
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136
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How to calculate the Kretschmann scalar in 3+1 decomposition?
Does anyone know a source for calculating the Kretschmann scalar and/or 4D Riemann tensor using the variables of the 3+1 decomposition?
I need to monitor a curvature invariant and calculating it ...
1
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0
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72
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Current status and reference request for the Black Hole Stability Conjecture
The Black Hole Stability Conjecture is one of the most important open problems in the field of General Relativity, and remains open in spite of the advances in the past half century.
To test Einstein’...
3
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1
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296
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Numerical package for backreaction in general relativity
I am looking for numerical packages (Python/Matlab or some common languages) that can simulate the backreaction of the matter on the Kerr black hole geometry: i.e. assume I have a given initial ...
0
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0
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42
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How to prepare for reading Blau‘s lecture notes about general relativity from scratch？ [duplicate]
I'm a student majoring in computer science, which means that I haven't learned any physics related courses. Furthermore, I only know calculus (at the level of introductory real analysis, well, the ...
1
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1
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88
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Reference Request- Black Hole Perturbation Theory (Teukolsky formulation)
I am involved in a project where I need to calculate a metric resulting from a perturbation.
In particular, I am doing perturbation on a Kerr Geometry. I am new to black hole perturbation theory. I ...