All Questions
5
questions
2
votes
1
answer
143
views
Question on Tolman-Oppenheimer-Volkoff (TOV) equation for time-dependent spacetimes [closed]
Is there a way to conceive a TOV equation, and therefore the stability analysis for a metric like:
$$ ds^2 = -dt^2 + a^2(t,r)\big(dr^2 + r^2d\Omega ^2\big)~?\tag{1}$$
2
votes
1
answer
119
views
Would something in the center of a supermassive shell be pulled apart or remain stationary?
Imagine a supermassive hollow shell in space, and also imagine there is an object at the center of this shell.
How does the force of gravity affect the body inside the shell?
My reasoning is that the ...
1
vote
1
answer
153
views
Understanding Birkhoff's theorem
I was seeing the generalisation of Newton's shell theorem to GR, including the answer given here:
Is spacetime flat inside a spherical shell?, but I don't understand why proving that the metric inside ...
1
vote
0
answers
159
views
Abel deprojection formula in static and spherically symmetric spacetimes
Given a fluid spherically distributed with density $\rho(r)$ in 3-dimensions in flat-spacetime; the projected surface density $\sigma(R)$ (onto two dimensions) can be obtained by the well known ...
1
vote
1
answer
553
views
Poincaré group and BMS symmetry
How we can derive BMS symmetry by Poincaré group?