All Questions
Tagged with resource-recommendations general-relativity
209 questions
2
votes
0
answers
87
views
Wheeler-deWitt equation as a renormalization group flow
I recently heard a comment that Wheeler-deWitt equation can be interpreted as RG flow equations. However, I haven't been able to find appropriate references for the same. Could someone suggest any ...
0
votes
3
answers
704
views
Black Holes for Beginners
I’m studying a PhD in Theoretical Physics (quantum field theory, to be specific), but I would like to learn more about black holes (and related areas. Does anyone have any suggestions for textbooks/...
2
votes
1
answer
547
views
Dirac equation in curved spacetime
As we know, the laws of physics in curved spacetime are obtained to lowest order by upgrading the flat space laws by substituting partial derivatives with the appropriate covariant derivatives. In the ...
2
votes
0
answers
63
views
Learning resources for the PPN formalism
I'm trying to learn more about the PPN formalism, and I was hoping to find some papers that show how the various parameters are calculated. Basically, I want to go through the usual calculations of ...
1
vote
1
answer
97
views
Physical Analogs of General relativity and optics
My Prof told me today there is a 1-1 correspondence between particles in a curved space time, and optics problems in various indices of refraction, extending even as far as black holes. Does anyone ...
0
votes
0
answers
34
views
Mathematical software for calculating Christoffel symbols, curvature, etc [duplicate]
I'm looking for a Mathematical software that can do the following:
I put in a metric (some kind of a two-dimensional matrix), and the software calculates Christoffel symbols, Ricci curvatures, ...
1
vote
1
answer
152
views
Reference request for Lie algebras
My future adviser just published a beautiful paper, https://arxiv.org/abs/1904.08304, and I am looking for some references/textbooks to look into the following concepts:
Lie algebra (central) ...
1
vote
0
answers
33
views
Book on tetrads formalism and tetradic formulation of General Relativity [duplicate]
Could anyone give me some references for mathematicians (coordinates free notation, formalism of fiber bundles etc.) about tetrads, Palatini-Cartan theory, stuff about formulation of GR with tetrads?
...
2
votes
1
answer
609
views
Reference on quantization of linearized gravity
I often see claims saying that quantization of linearized gravity can be done. Is there some standard references for it? such as original papers/ review papers / textbooks etc.
0
votes
0
answers
39
views
Books recommended as requisites for understanding general relativity to the fullest? [duplicate]
Saw some questions here which asks for what a student should know but couldn't find a complete list of recommended books for the maths and physics one needs to know. The answers can serve as a journey ...
0
votes
0
answers
58
views
Book recommendation for second look at GR [duplicate]
Between Hawking & Ellis and Wald, which one would be the better choice to follow up a graduate-level course in GR (based off of Carroll's book)?
If not either of those two, does anyone have any ...
2
votes
2
answers
496
views
Is there a good treatment of "familiar" physics using exterior calculus, AKA differential forms?
By familiar physics, I mean the physics of things I can reach out and touch. In other words, neither relativity nor analytical dynamics, etc.
After re-reading chapter 4 of MTW's Gravitation yet ...
1
vote
0
answers
30
views
Where I can learn Science as a whole? From nothing to relativity, thermodynamics, to quantum [duplicate]
I'm a Computer Science Engineer, and I live in India.
I'm taking interests in Physics and Science, and I am much more curious about it. But I don't know where to start and where to finish (although I ...
0
votes
1
answer
345
views
Which book should I follow to get basic understanding of Black Holes? [duplicate]
I have done some books on GTR like by Sean Carroll's Spacetime and Geometry, read a little bit from Kip Thorne's Gravitation, and also did Short course on General Relativity. But I didn't understand ...
1
vote
1
answer
70
views
Construction of cosmological models using group actions over a manifold
I am searching for good resources on topics related to construction of symmetries over a manifold. For example in Schwarzschild model when looking for spherical symmetry, in cosmology when applying ...
1
vote
0
answers
121
views
Reference for relativistic fluid dynamics
I am looking for a book dedicated to relativistic fluid dynamics, for someone who has studied/studying Fluid Dynamics by Batchelor and General Relativity by Schutz. Schutz' book does include a minor ...
2
votes
0
answers
222
views
Einstein-Cartan Theory with modern Cartan structural equations? [duplicate]
I cannot find real derivations and analysis of the Einstein-Cartan Theory.
This can probably be a neat up-climb to a Cartan structural summit, or very close.
I am not asking this because I want it ...
9
votes
1
answer
12k
views
Stress-energy tensor for a perfect fluid in general relativity
Wikipedia reports this expression for the stress-energy tensor of a perfect fluid in general relativity
$$T^{\mu \nu} = \left(\rho + \frac{p}{c^2} \right) U^{\mu} U^\nu + p g^{\mu \nu}, $$
where $\...
1
vote
0
answers
63
views
Textbook on the history of General Relativity?
I have studied General Relativity from various textbooks already, and the subject fascinated me immensely. I was wandering if there is any textbook that deals with the chronological "steps" that ...
0
votes
0
answers
179
views
Einstein's last attempt of a unified field theory
Are there any good sources on Einstein's attempt to unify general relativity with electrodynamics, a unified field theory, before he died?
2
votes
1
answer
80
views
Question about literature of Alcubierre's drive
In the last words of the prepaper*, Mr Alcubierre says:
As a final comment, I will just mention the fact that even though the spacetime described by the metric (8) is globally hyperbolic, and ...
1
vote
3
answers
3k
views
What is a suitable book to learn general relativity for high school students? [duplicate]
I know all of special relativity but I also know it is not enough to study GR. The mathematics is very complex. I have “Spacetime and Geometry” by S. Caroll. He has described it GR well enough but I ...
2
votes
1
answer
117
views
References on 'Raychaudhuri Equation'
I want to learn about Raychaudhuri equation and its applications. I already have looked into papers by Kar & Sengupta, Dadhich but I want more rigorous treatment than these papers. Would you ...
7
votes
0
answers
690
views
Rigorous treatment of Penrose diagrams
I'm looking for a rigorous exposition of Penrose diagrams (also called conformal diagrams in general relativity. By "rigorous" ("careful" is perhaps a more attractive word) I mean that it should ...
5
votes
5
answers
4k
views
Learn about tensors for physics
Can I have suggestions for some good book regarding tensors for physics.
2
votes
1
answer
395
views
Hawking radiation on Kruskal-Szekeres coordinates
Recently a physicist I know said he was interested in the following question: "would one observer following Kruskal-Szekeres coordinates in the presence of a Schwarzschild black hole (i.e., whose ...
7
votes
3
answers
2k
views
How to learn QFT on curved spacetime by self-studying?
I'm a graduate student in Physics, and on the graduate school I've already taken the QM and QFT courses. I've studied GR by myself. I also have a major in mathematics and mathematical physics, and ...
8
votes
1
answer
2k
views
Modern treatment of effective QFT in curved spacetime
Is Ch. 6 of Birrell & Davies book on QFT in curved space and in particular the 1-loop effective action that they derive up-to-date with the current state of the art in (effective) quantum gravity? ...
7
votes
1
answer
347
views
Numerical relativity resources - Adaptive Mesh Refinement
I have, in the past few months, been studying numerical relativity, specifically the problem of spherical collapse of a scalar field as studied by Choptuik. I have also taken a look at some books that ...
0
votes
0
answers
87
views
Help finding references on WKB approxiamtion of gravitational waves in a curved background
In MTW Gravitation, the shortwave approximation on gravitational waves in a curved background is given in Section 35.13. This treatment is similar to the WKB approximation in quantum mechanics, or the ...
0
votes
1
answer
704
views
Tetrad formalism
What is the current scope of doing research in tetrad formalism to understand gravity? What is the material, book I should refer for doing research on it?
2
votes
1
answer
804
views
Connection and curvature using differential forms [duplicate]
I am trying to understand how one would use differential forms to calculate the components of the connection and the curvature tensor given a metric. Can anyone point me to relevant resources for the ...
5
votes
0
answers
1k
views
Introduction to the Newman-Penrose Formalism
I am having trouble finding good introductory literature (e.g. a textbook or lecture notes) for the Newman-Penrose formalism of General Relativity.
I am looking for a resource suitable for someone ...
1
vote
0
answers
182
views
Solution of Maxwell's equations in curved spacetime
Can someone please suggest some resources on the topic of the solution of Maxwell's equations in curved spacetime?
I have already read about Maxwell's equation in curved spacetime from the book of ...
2
votes
1
answer
1k
views
Tensor manipulation software [duplicate]
Does anyone know of any free tensor manipulation software for use in General relativity? e.g GR tensor
(this includes software that needs programs such as mathematica or matlab to use)
0
votes
1
answer
154
views
Books on black hole slicing
I'm starting work on a summer project at my university soon, based in General Relativity. In particular, my project is focused on slicing of black holes. The problem, however, I've never taken a ...
3
votes
2
answers
2k
views
Coupling fermions with gravity
Einstein's gravity does not incorporate the "spinor" nature of fermions. The tetrad formulation or Cartan's theory is suggested as the way to go around this problem - by allowing the spin connection ...
7
votes
0
answers
147
views
Resource Recommendation for black hole metrics in General Relativity
In classical textbooks for GR, Schwarzschild and Kerr spacetimes are adequately described. In which books or articles, it is mostly believed that Reissner–Nordstrom, Kerr–Newman, Schwarzschild–de ...
0
votes
1
answer
54
views
Reference for the integral form of the metric in linearised gravity
Reference wanted: I was looking for a source for the integral form for the weak field metric in terms of the stress-energy tensor, as given in the wikipedia article on Linearised Gravity. The problem ...
-4
votes
1
answer
120
views
Where should I start? [closed]
My question may be strange but it is so necessary.
Although I am not a physicist student my professor demanded me to make a presentation about ( the geometry of spacetime )
What should I write or ...
0
votes
0
answers
61
views
References for local conservation law in General Relativity
Near the end of http://en.wikipedia.org/wiki/Einstein_tensor you can find a local conservation law for the densitized energy-momentum tensor contracted with a Killing vector. Does anyone have in mind ...
5
votes
1
answer
710
views
Derivation of Post-Newtonian (PN) expression for acceleration in Schwarzschild geometry
The expression for the acceleration of a near-earth satellite as presented in the IERS Technical note is given by
\begin{equation} \label{eq:problemeq} \tag{1}
\frac{d^2\mathbf{r}}{dt^2} = \frac{GM_E}{...
2
votes
0
answers
49
views
Failure of Scalar gravity via Experiments
I am looking for some papers or articles related with any experimental results which indicate Scalar gravity is wrong in some sense.
What i want to know explicitly is from what physical quantity ...
0
votes
1
answer
76
views
Revisiting Schwarzschild metric [duplicate]
Which book can i refer to gain a great deal of aspects on Schwarzchild metric without any tensor calculus
9
votes
2
answers
11k
views
Ricci tensor given through the metric
This is a request for references, mainly for educational aims. In textbooks about general relativity, it is common to present the Riemann and Ricci tensors using the Christoffel symbols. This is easy ...
12
votes
1
answer
354
views
Experimental bounds on Lorentz-violating dispersion relation
It has been predicted by several background-independent approaches to Quantum Gravity (like LQG or spinfoams) that the physical dispersion relations in vacuum could take the following form:
$$ p^2 = ...
0
votes
1
answer
592
views
Book Recommendations for Global General Relativity
Can someone please recommend books that deal with the techniques used to apply General Relativity at Global scales? Einstein's Field Equations are local statements, so is there a technique or a whole ...
8
votes
0
answers
194
views
Visualising General Relativity [closed]
I've recently found myself with copies of both Maple and Mathematica and I'm looking to use it to study relativity and hopefully the field equations of GR.
I mainly study general relativity but I've ...
8
votes
1
answer
753
views
What methodologies present in MTW's Gravitation are outdated and why?
MTW's Gravitation is regarded by many universities as the standard graduate-level book on General Relativity. However, is the methodology of the book of contemporary character? The cosmology part of ...
1
vote
0
answers
97
views
Learning General Relativity from a mathematical and physical point of view [duplicate]
I am an undergraduate in Mathematics writing his dissertation on General Relativity this year. The next couple of months will be dedicated to learning the math (geometry) and the physics, and to this ...