Tidal forces near a black hole

[praharmitra]

Given a black hole metric g_{\mu\nu} how does one calculate the tidal forces near the black hole horizon? Is there any more quantities that may be required to answer this?

 

[Mentz114]

Given a black hole metric g_{\mu\nu} how does one calculate the tidal forces near the black hole horizon? Is there any more quantities that may be required to answer this?

Yes, you need to calculate the Riemann tensor R_abcd in the comoving frame and then contract it with U⁰=-1 to give the tidal tensor

<br /> E_{ac}=R_{abcd}\ U^b\ U^d<br />