On The Black Hole Interior Spacetime

TL;DR

This paper proposes a novel time-dependent black hole interior geometry based on anisotropic fluid solutions to Einstein's equations, with energy density scaling as 1/t^2, aligning with dark energy models.

Contribution

It introduces a new black hole interior spacetime model derived from an anisotropic fluid solution, extending previous ideas by Doran et al.

Findings

Interior spacetime is time-dependent and satisfies Einstein's equations.

Energy density scales as 1/t^2, similar to dark energy models.

Brown-York quasilocal energy equals the black hole mass.

Abstract

A new version of the geometry inside a black hole is proposed, on the grounds of an idea given by Doran et al. The spacetime is still time dependent and is a solution of Einstein's equations with a stress tensor corresponding to an anisotropic fluid. The energy density of the fluid is proportional to $1/t^{2}$ as in many dark energy models and the Brown-York quasilocal energy of the black hole interior equals its mass $m$.