What is a real black hole ?

Abstract

Four dimensional Einstein equation with non-vanishing energy momentum tensor is solved to give a solution where the event hori- zon of a celestial body is outside of the body, which corresponds to a black hole by definition. There is no singularity at the center of the object unlike the case of Schwarzschild solution. We do not have the gravitational collapseWe do not have the gravitational collapse thus avoiding the Penrose-Hawking singularity theorems. The main fea- ture of our black hole solution is that it has the horizon inside the black hole in addition to the usual outside horizon. This inner hori- zon singularity is not removable by a coordinate transformation because the determinant of metric tensor is singular at this point but there is no singularity neither in the density nor in the pressure indicat ing there is no gravitational collapse.