Gravity with Perimeter Action and Gravitational Singularities

TL;DR

This paper investigates how adding a perimeter action to gravity modifies Schwarzschild solutions, revealing new regions near the horizon that are inaccessible and potentially resolve classical singularities.

Contribution

It introduces a perimeter action perturbation to Schwarzschild solutions, showing the emergence of unreachable regions at the horizon scale where singularities occur in standard gravity.

Findings

Modified solutions exhibit unreachable regions near the horizon.

Perturbation characterized by the ratio of Planck length to Schwarzschild radius.

Standard singularities are replaced by regions inaccessible to test particles.

Abstract

We consider the perturbation of the Schwarzschild solution by the perimeter action. The asymptotic behaviour of the solution at infinity and at the horizon are calculated and analysed in the first approximation. The perturbation is characterised by the ratio of the Plank length to the Schwarzschild radius. It is demonstrated that in the modified theory appear space-time regions of the Schwarzschild radius scale that are unreachable by test particles. These regions are located in the places where standard theory of gravity has singularities.