Applications of the Gross-Pitaevskii equation to gravity

Abstract

In this paper the main characteristics of the interior solution of a static black hole as a Bose-Einstein condensate of gravitons are explored. We find that, even up to the boundary of the black hole, quantum corrections cannot be ignored which in turn leads to the conclusion that, in this framework, not even in the classical limit the interior of the black hole is described adequately by General Relativity. Furthermore, a non-singular interior solution is found.