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Qmechanic ♦
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Assuming two black holes with the same rest mass m$m$ collid coming from infinity with velocity v$v$ and impact parameter b$b$. Lets ignore spin at first. For which values of v$v$ and b$b$ would these holes scatter or merge?

enter image description here

Using G=c=m=1$G=c=m=1$ one unit of length would be half of the Schwarzschild radius from one of the black holes. Therefore for b<4$b<4$ the holes would clearly merge because the event horizons will overlap. But what would happen for greater values of b$b$ is there some simple merging condition?

Assuming two black holes with the same rest mass m collid coming from infinity with velocity v and impact parameter b. Lets ignore spin at first. For which values of v and b would these holes scatter or merge?

enter image description here

Using G=c=m=1 one unit of length would be half of the Schwarzschild radius from one of the black holes. Therefore for b<4 the holes would clearly merge because the event horizons will overlap. But what would happen for greater values of b is there some simple merging condition?

Assuming two black holes with the same rest mass $m$ collid coming from infinity with velocity $v$ and impact parameter $b$. Lets ignore spin at first. For which values of $v$ and $b$ would these holes scatter or merge?

enter image description here

Using $G=c=m=1$ one unit of length would be half of the Schwarzschild radius from one of the black holes. Therefore for $b<4$ the holes would clearly merge because the event horizons will overlap. But what would happen for greater values of $b$ is there some simple merging condition?

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Okarin
Okarin
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Binary black hole merging condition

Assuming two black holes with the same rest mass m collid coming from infinity with velocity v and impact parameter b. Lets ignore spin at first. For which values of v and b would these holes scatter or merge?

enter image description here

Using G=c=m=1 one unit of length would be half of the Schwarzschild radius from one of the black holes. Therefore for b<4 the holes would clearly merge because the event horizons will overlap. But what would happen for greater values of b is there some simple merging condition?