All Questions
7 questions
6
votes
1
answer
380
views
How to find that there is a conical singularity in 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 ...
2
votes
3
answers
558
views
Delta function singularity in curvature
Are there 3+1D spacetimes that lead to a $\delta$-function in curvature? Are there any examples that one can provide?
- 1,415
2
votes
1
answer
244
views
Computing curvature singularities from a metric
Suppose I have the metric
$$ds^2 = f(r)(dt^2-dr^2-dz^2) - \frac{1}{f(r)} d\phi^2. $$
How would you calculate the curvature singularities of this metric if we assume that $f(r)$ takes value $0$ for $...
0
votes
0
answers
54
views
Derivation of the Schwarzschild solution [duplicate]
For the Derivation of the Schwarzschild solution my Professor use:
$R_{\mu\nu} = 0$ since we are in vacuum.
I see that we are in vacuum, but we assume a mass at point $r = 0$.
Thus, the curvature is ...
- 349
0
votes
1
answer
116
views
How to interprete this singularity? [closed]
I am calculating the Kretschmann scalar for the Schwartzchild metric. This is the graphic I get:
Where $R$ is the radial coordinate and $x=\cos(\theta)$.
So, there is the singularity at $R=0$ as it ...
- 1,187
4
votes
1
answer
251
views
How can you tell if spherical-like coordinates are locally flat across the origin?
In general relativity, with spherical-like coordinates in a radial gauge, I have a metric that looks like:
$$-g_{tt}\mathrm{d}t^2 + g_{rr}\mathrm{d}r^2 + r^2(\mathrm{d}\theta^2 + \sin^2\theta\ \...
- 307
4
votes
1
answer
4k
views
What exactly does the Kretschmann scalar implies and how does it work?
From the General Relativity class lectures I understood that this particular invariant, the Kretschmann scalar namely
$$R_{\mu\nu\lambda\rho} R^{\mu\nu\lambda\rho}$$
is really important because, ...
- 3,735