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Results tagged with general-relativity
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user 60211
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
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answers
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Covariant derivative of the Levi-Civita symbol
In general relativity, the Levi-Civita symbol is defined by for example in spacetime with dimension 2+1
\begin{equation}
\varepsilon^{abc}=\frac{\epsilon^{abc}}{\sqrt{-g}},~~\epsilon^{abc}=0,\pm 1.
\e …
- 679
2
votes
0
answers
235
views
The black hole horizon of Jackiw-Teitelboim (JT) gravity
I am reading the papers about black hole in $AdS_2$, which can be regarded as a solution in JT gravity. More concretely I am reading this paper https://arxiv.org/abs/1908.08523 "Jackiw-Teitelboim mode …
- 679
2
votes
0
answers
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Temperature of Kerr black hole and conical singularity
For spherical static black holes, for example, the metric may take the form
\begin{equation}
ds^2=-f(r)dt^2+\frac{dr^2}{f(r)}+r^2d\Omega^2_d
\end{equation}
One can use conical singularity method to ca …
- 679
3
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0
answers
196
views
Dirac bracket and Poisson bracket, asymptotic symmetry
I am reading the paper arXiv:9906126. https://arxiv.org/abs/gr-qc/9906126 on the symmetry algebra at horizon (see also well known work done by Brown and Henneaux about the asymptotic algebra of AdS$_ …
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