Spherically symmetric black holes in the limiting curvature theory of gravity

TL;DR

This paper models spherically symmetric black holes within a limiting curvature gravity theory, showing that such black holes avoid singularities and exhibit regular, oscillatory interior geometries.

Contribution

It introduces a modified gravity model with curvature constraints that prevents singularity formation inside black holes.

Findings

Black hole interiors are regular and non-singular.

Solutions show exponential expansion and oscillations inside the horizon.

The model applies to large black holes with radius much greater than the critical curvature scale.

Abstract

In this paper we describe a model of a four-dimensional spherically symmetric black hole in a limiting curvature theory of gravity. In this theory the Einstein-Hilbert action is modified by adding to the action terms providing inequality constraints on chosen curvature invariants. We demonstrated that in such a model, instead of formation of the curvature singularity, the spacetime remains regular in the black hole interior. For black holes with gravitational radius much larger than the radius $\ell$ of the critical curvature the obtained solutions describe a space exponentially expanding in one direction and periodically oscillating in the other two (spherical) directions.