All Questions
4
questions
1
vote
2
answers
245
views
How is the interior Schwarzschild metric derived?
Where does the interior Schwarzschild metric come from? How is it derived and why does it have NOT a singularity? Would it mean that the singularity is only apparent and for those out of the black ...
- 495
1
vote
0
answers
34
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Embedding Schwarzschild in FRLW [duplicate]
Does there exist an exact metric in the literature for embedding the Schwarzschild metric in the Friedmann–Lemaître–Robertson–Walker metric? If so, please give a good reference. Thanks.
- 2,155
2
votes
1
answer
63
views
Curvature of spatial 2-section in general form for metric
In this paper (Four-Dimensional Asymptotically AdS Black Holes with Scalar Hair by Gonzalez et. al.), the following standard metric is taken as an ansatz for the hairy black hole:
$$ds^2=-f(r)dt^2+f^{-...
- 2,665
3
votes
3
answers
1k
views
Schwarzschild metric in expanding Universe
In Schwarzschild coordinates the line element of the Schwarzschild metric is given by:
$$ds^2=\Big(1-\frac{r_s}{r}\Big)\ c^2dt^2-\Big(1-\frac{r_s}{r}\Big)^{-1}dr^2-r^2(d\theta^2+\sin^2\theta\ d\phi^2)...
- 5,925