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Results tagged with general-relativity
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user 20962
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.
7
votes
1
answer
900
views
Question about Komar integral derivation in Wald
I have a question about derivation 11.2.10 in Wald (page 289). Here is a screenshot of the relevant passage:
I don't get the step $$-\frac{1}{4\pi}\int _{\Sigma}R^{d}{}{}_{f}\xi^{f}\epsilon_{deab} …
- 431
4
votes
1
answer
308
views
Wald problem 11.4
Consider a stationary solution with stress-energy $T_{ab}$ in the context of linearized gravity. Choose a global inertial coordinate system for the flat metric $\eta_{ab}$ so that the "time direction" …
- 431
3
votes
0
answers
337
views
Superradiance of electromagnetic waves
I have to do a calculation (problem 5 of chapter 12 in Wald) verifying the super-radiance of electromagnetic waves incident on Kerr black holes and have a few preliminary questions.
As background: o …
- 431
14
votes
1
answer
838
views
"Redshifting" of forces in stationary spacetime
Here's the problem statement:
Let $(M,g_{ab})$ be a stationary spacetime with timelike killing field $\xi ^{a}$. Let $V^{2} = -\xi _{a}\xi ^{a}$ ($V$ is called the redshift factor).
(a) Show that the …
- 431
4
votes
1
answer
337
views
Twist of null Killing fields
I have a (hopefully) quick question: is it possible to have a null Killing field $\xi ^ \mu$ such that the twist 1-form $\omega_{\mu} = \epsilon_{\mu\nu\alpha\beta}\xi^\nu \nabla^\alpha \xi^\beta \neq …
- 431