All Questions
6
questions
2
votes
0
answers
40
views
Calculating Gaussian Curvature for metric
I am trying to calculate Gaussian curvature of an optical metric
$$
d \sigma^2=\frac{r\left(\omega_{\infty}^2-\omega_e^2\right)+2 m \omega_e^2}{(r-2 m) \omega_{\infty}^2}\left(\frac{d r^2}{1-\frac{2 m}...
- 21
1
vote
0
answers
80
views
Conformal cyclic cosmology, black hole and Weyl curvature
Roger penrose in his theory "conformal cyclic cosmology" states that after a google there would be a giant black hole. Does black hole have Weyl curvature? If it does, then we know that ...
2
votes
1
answer
63
views
Curvature of spatial 2-section in general form for metric
In this paper (Four-Dimensional Asymptotically AdS Black Holes with Scalar Hair by Gonzalez et. al.), the following standard metric is taken as an ansatz for the hairy black hole:
$$ds^2=-f(r)dt^2+f^{-...
- 2,665
1
vote
1
answer
476
views
Roger Penrose's conformal cyclic cosmology (CCC)
Does the Weyl curvature tensor $C$ of the black hole singularity in the conformal cyclic cosmology diverge to infinity unlike the Big Bang (C = 0)?
- 61
0
votes
0
answers
107
views
Motion without matter
Suppose you have a vacuum spacetime with non zero cosmological constant then you can show that two test particles will move toward each other or apart depending on whether it is negative or positive (...
- 759
3
votes
1
answer
117
views
Can a lone black hole in a closed Universe evaporate?
If there is a closed Universe which only has a black hole in it, can that black hole evaporate? As the black hole evaporates, it gives off energy, which will eventually come back and be re-absorbed ...
- 2,467