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Results tagged with general-relativity
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user 251344
A theory that describes how matter interacts dynamically with the geometry of space and time. It was first published by Einstein in 1915 and is currently used to study the structure and evolution of the universe, as well as having practical applications like GPS.
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Background choices that allows static gauge in string theory
Consider the Polyakov action after fixing the conformal gauge $h_{ab}=\eta_{ab}$:
$$S_P[X] = -\frac{T}{2} \int \text{d}^2 \sigma \eta^{ab} \partial_a X^\mu \partial_b X^\nu G_{\mu \nu} (X) \tag1$$
whe …
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How the wavelength of a photon is affected by an uniform gravitational field
In the presence of a uniform gravitational field two observers at fixed positions obtain different measurements of frequency of the same photon. One observer at the origin of some coordinate system me …
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Attemp to encode newtonian gravitation as 3-dimensional space curvature
In lecture 9 of this series of lectures, Professor Frederic Schuller (around time 24:00) is trying to answer the question about the possibility to interpret newtonian gravity as a three-dimensional sp …
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Derivatives of Lagrangian for relativistic massive point particle
For a relativistic point particle with mass $m$ whose worldline is parameterized by $x(\lambda)$ the standard Lagrangian is:
$$L(\dot{x}) = -mc\sqrt{g_{ab}\dot{x}^a \dot{x}^b} \tag1$$ where $g$ is a L …
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Physical intuition for the Geodesic Equation derivation via a Variational Principle: Why max...
The most commom derivation I've seen of the geodesic equation of a massive particle is by the use of the Variational Principle. My problem is that I can't realize what the meaning of find a spacetime …
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