Why are Black Holes Stable Against Their Own Gravity?

Abstract

One of the great mysteries of physics is why neutron stars, which are timelike matter, have a maximum mass, but Black Holes, which are spacelike matter, have no maximum mass. Indeed, Black Holes have been observed having masses of billions of solar masses. The answer ultimately is related to the stability of Black Holes (BH) against their own gravity, which is the key to understanding General Relativity. We show that the answer to these two related questions is the existence of a fundamental Black Hole constant: [Formula: see text] Newtons, independent of Black Hole mass. This constant allows us to derive the correct area law for Black Hole coalesce.