Nonsingular Black Holes in Higher dimensions

Abstract

We present a class of new nonsingular black holes in higher dimensional theories of gravity. Assuming a specific form of the stress energy tensor exact analytic solutions of the field equation are generated in general theory of relativity (GR) and Rastall theory. The non-singular black hole solutions are obtained with a finite pressure at the centre in $D=4$ dimensions. For $D>4$ the transverse pressure is found finite at the centre for a set of model parameters. In the later case the transverse pressure is more than that in the usual four dimensions. The exact analytic solution of the field equations in higher dimensions for large $r$ coincides with the Schwarzschild black hole solution in the usual four and in higher dimensions which is singularity free. The different features of the generalized non-singular black hole in GR and modified GR are explored. A new vacuum nonsingular black hole is found in Rastall gravity. We also study the motion of massive and massless particles around the black holes.