All Questions
Tagged with adm-formalism mass
8
questions
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25
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Do the Komar/ADM mass equations also hold in 2+1D?
All definitions I have come across for the ADM mass require asymptotic flatness, which always is defined for 4 dimensional spacetimes. I was wondering if these formulae in 3+1D hold in 2+1D aswell?
2
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0
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66
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ADM mass calculation for the BTZ black hole
Considering a non-rotating and non-charged 2+1 dimensional black hole, known as the BTZ black hole which obtained by adding a negative cosmological constant $\Lambda=-\frac{1}{l^2},l\ne0$ to the ...
3
votes
2
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504
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Is the mass of curved space, additional mass?
According to Einstein, mass, say in the form of matter, curves space. It is the curvature of space that gives rise to gravity. Now I have heard there is an energy associated with the curvature of ...
- 131
2
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273
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Showing the ADM-Mass of Schwarzschild-Spacetime
Can someone show that the ADM-Mass of Schwarzschild is identical with the Mass-Parameter?
- 159
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How to prove ADM mass is independent of the foliation considered?
ADM mass for an asymptotically-flat
spacetime can be defined as (Poisson, Eric. A relativist's toolkit. p.147):
$$M=-\frac{1}{8 \pi} \lim _{S_t \rightarrow \infty} \oint_{S_t}\left(k-k_0\right) \sqrt{\...
- 95
3
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1
answer
429
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How compute the mass of AdS-Schwarzschild by ADM mass formula?
I want to compute the mass of AdS schwarzschild by ADM mass formula but I could not find where I am wrong.
AdS schwarzschild line element is :
$$
ds^2 =-f dt^2 +\frac{dr^2}{f} +r^2 d\sigma^2_{d-1}
$$
...
- 31
3
votes
1
answer
780
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Do the Misner-Sharp mass and ADM mass asymptote to one another for static spacetimes
I know for asymptotically flat spacetimes, one can define the Arnowitt-Deser-Misner (ADM) mass of the spacetime
$$M_{ADM} = \frac{1}{16\pi} \lim_{r\to\infty} \int d^2\sigma r^a \gamma^{cd}\left(
\...
3
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3
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534
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Uniqueness or multiplicity of ADM masses for spacetime manifolds with more than one "end"?
The question is:
What is the mathematical and/or physical basis for saying that a
(static) spacetime manifold with more than one asymptotically flat
region at infinity ("end") has a distinct ...
- 772