Black holes in the limiting curvature theory of gravity

TL;DR

This paper explores a limiting curvature gravity theory that prevents singularities inside black holes by constraining curvature growth, resulting in a non-singular, complete spacetime with bounded invariants.

Contribution

It demonstrates how imposing curvature constraints alters black hole interiors, avoiding singularities and producing a regular, oscillating, and exponentially expanding spacetime.

Findings

Curvature singularities are avoided in the modified black hole solution.

The resulting spacetime is complete with bounded polynomial curvature invariants.

The interior geometry exhibits exponential expansion and oscillation in different directions.

Abstract

We discuss a recently proposed limiting curvature theory of gravity and its application to the problem of singularities inside black holes. In this theory the growth of the curvature is suppressed by specially chosen inequality constraints included in the gravity action. We consider a case of a spherically symmetric four dimensional black hole and demonstrated that imposed curvature constraints modify a solution in the black hole interior. Instead of forming the curvature singularity the modified metric describes a space which is exponentially expanding in one direction and oscillating the other two directions. The spacetime is complete and its polynomial curvature invariants are uniformly bounded.