All Questions
Tagged with adm-formalism spacetime
4
questions
0
votes
0
answers
40
views
Extrinsic Curvature in a conformally-flat spacetime that is also asymptotically-flat spacetime
I would appreciate if someone can confirm or correct my understanding of extrinsic-curvature (as in the ADM 3+1 decomposition of spacetime) when dealing with a conformally-flat spacetime.
(I updated ...
2
votes
1
answer
141
views
Static Spacetime = no cosmological constant?
I stumbled over a strange result, which cannot be true: In the (3+1)-formulation of general relativity, one considers a metric of the type
$$g_{\mu\nu}\mathrm{d}x^{\mu}\mathrm{d}x^{\nu}=(-\alpha^{2}+\...
2
votes
0
answers
273
views
Showing the ADM-Mass of Schwarzschild-Spacetime
Can someone show that the ADM-Mass of Schwarzschild is identical with the Mass-Parameter?
2
votes
0
answers
145
views
Frozen Formalism Problem
Before stating my question, let me say what I do understand:
In the ADM formalism, the Hamiltonian density of the gravitational field can be written as,
$$\mathcal{H} = h n + H_a N^a$$
where n is the ...