Nonsingular Schwarzschild-de Sitter Black Hole

TL;DR

This paper constructs a non-singular Schwarzschild-de Sitter black hole model by integrating maximal and minimal curvature scales, resulting in a geodesically complete spacetime with horizons, within two-dimensional dilaton gravity.

Contribution

It introduces an exact solution combining maximal and minimal curvature scales to eliminate singularities in Schwarzschild-de Sitter black holes.

Findings

The solution approaches Schwarzschild-de Sitter at large radii.

The spacetime is geodesically complete.

It features both black hole and cosmological horizons.

Abstract

We combine notions of a maximal curvature scale in nature with that of a minimal curvature scale to construct a non-singular Schwarzschild-de Sitter black hole. We present an exact solution within the context of two-dimensional dilaton gravity. For a range of parameters the solution approaches Schwarzschild-de Sitter at large values of the radial coordinate, asymptotically approaching a de Sitter metric with constant minimal curvature, while approaching a maximal constant curvature smooth spacetime as the radial coordinate approaches zero. The spacetime is geodesically complete and generically has both a black hole horizon and a cosmological horizon.