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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: $$ ds^2 = -dt^2 + a^2(t,r)\big(dr^2 + r^2d\Omega ^2\big)~?\tag{1}$$
M.N.Raia's user avatar
  • 3,085
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 ...
Jim Nilsson's user avatar
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 ...
MicrosoftBruh's user avatar
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 ...
Ernesto Lopez Fune's user avatar
1 vote
1 answer
553 views

Poincaré group and BMS symmetry

How we can derive BMS symmetry by Poincaré group?
Hamideh's user avatar
  • 373