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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 ...
AmnonJW's user avatar
  • 21
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}+\...
B.Hueber's user avatar
  • 854
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?
Mac Menders's user avatar
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 ...
Nathanael Noir's user avatar