Recent content by Riyan

Similarly solving for E after fallen of object with an additional term Gravitational PE (-GMm/r) I get : ##Urad=m c^2\sqrt {(\frac {2 m c^2-1} {2 m c^2}+2k+\frac {64 G^4 M^4 \omega^2 (1+2k)} {25 c^{10}})}##

This equation is for initial energy of black hole just rotating with angular velocity ##\omega ## This equation is in 1st image I got problem in writing equation of 2nd page when object fall in the black hole

Mass of black hole =M Mass of object =m Mass of object after fallen of object =M+m Initial energy of black hole: \begin{align} E^2 &=M^2 c^4+p^2 c^2 \\ &=M^2 c^4+I^2 \omega^2 c^2 \\&=M^2 c^4+\frac {4M^2 r^4 \omega^2 c^2 }{25} \\&=M^2 c^4(1+\frac {4r^4 \omega^2} {25 c^2} ) \end{align}...

Mass of black hole =M Mass of object =m Mass of object after fallen of object =M+m \begin{align} E^2 &=M^2 c^4+p^2 c^2 \\ &=M^2 c^4+I^2 \omega^2 c^2 \\&=M^2 c^4+\frac {4M^2 r^4 \omega^2 c^2 }{25} \\&=M^2 c^4(1+\frac {4r^4 \omega^2} {25 c^2} ) \end{align} Schwarzschild radius = 2GM/c^2

So where am I wrong : 1. From the beginning 2. or, I took wrong gravitational PE

How would I use schwarzschild metric in this ?

I'll post it as soon as possible.

Which term?

I'm trying to find how much energy will radiate when an object fell in a black hole. Is my calculations are correct or I'd committed mistake somewhere?