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Results tagged with general-relativity
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user 105637
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.
2
votes
0
answers
102
views
On separability of wave equation in Kerr metric
In Kerr background given by Boyer-Lindquist(BL) coordinates ($t,\, r,\, \theta,\, \phi $):
$$
g_{\mu\nu} dx^{\mu}dx^{\nu}=-(1-\frac{2Mr}{r^2+a^2\cos^2{\theta}})\,dt^2-\frac{r^2+a^2\cos^2{\theta}}{r^ …
- 329
5
votes
1
answer
1k
views
Ring singularity of Kerr metric
I have been reading about the Kerr metric using various sources (Wald's textbook, Visser's The Kerr spacetime: A brief introduction etc.). I could not understand exactly why the singularity structure …
- 329
4
votes
2
answers
475
views
Global symmetries of spacetime and general covariance
I am self learning GR. This is a rather long post but I needed to clarify few things about the effect of general coordinate transformations on the global symmetries of metric. Any comments, insights a …
- 329
4
votes
1
answer
546
views
Planck's constant, Boltzmann constant and Hawking Temperature
The Hawking temperature of a Schwarzschild black hole is given in SI units as
$$T_{H}=\frac{\hbar c^3}{8 \pi G k_{B} M},$$
where $k_{B}$ is the Boltzmann constant. I would like to know how $\hbar$ and …
- 329