All Questions
Tagged with adm-formalism black-holes
5
questions
2
votes
0
answers
66
views
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 ...
4
votes
2
answers
127
views
ADM decomposition incompatible with black hole?
In establishing ADM or 3+1 decomposition, one starts with choosing a foliation $\Sigma_t$ where t is a scalar function and $\Sigma_t$ is demanded to be a spacelike slice, i.e. with time-like normal ...
- 109
3
votes
1
answer
429
views
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
4
votes
1
answer
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ADM mass of a black hole and mass of the associated matter
The ADM formalism gives a definition for the energy (Hamiltonian) of a static, asymptotically flat spacetime. This energy can be equated to the mass of the matter (for example, a black hole) which ...
- 3,203
6
votes
1
answer
722
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Is ADM energy (momentum) conserved?
Energy is a slippery concept in GR, but in an asymptotically flat spacetime there is a perfectly reasonable concept of energy (indeed, several) which goes by the name the ADM energy:
$$ E_\mathrm{ADM} ...
- 6,425