- #1
TheMan112
- 43
- 1
If two black holes with equal mass and angular momentum, but the latter in opposite directions were to collide, they would release a great deal of radiation and would subsequently lose energy and the resulting black hole would have a lower total mass than the two previous ones combined. But how can I calculate how much of their combined original mass would (at most) be released as radiation in the collision?
I know I should start from the "area-theorem". Unable to find it in my coursebook, I looked it up on wikipedia.
Hawking's Area theorem:
[tex]A_H=\frac{4\pi G^2}{c^4}((M + \sqrt{M^2-a^2})^2+a^2)[/tex]
- This being the area of the eventhorizon of the black hole.
Is there some relation between the areas the two original black holes and the subsequently combined black hole?
I know I should start from the "area-theorem". Unable to find it in my coursebook, I looked it up on wikipedia.
Hawking's Area theorem:
[tex]A_H=\frac{4\pi G^2}{c^4}((M + \sqrt{M^2-a^2})^2+a^2)[/tex]
- This being the area of the eventhorizon of the black hole.
Is there some relation between the areas the two original black holes and the subsequently combined black hole?