Deformed Reissner--Nordstrom solutions in noncommutative gravity

TL;DR

This paper explores how noncommutative geometry modifies Reissner--Nordstrom black hole solutions, removing coordinate singularities and providing corrected metrics, horizons, and curvature scalars.

Contribution

It presents the first leading order corrections to Reissner--Nordstrom solutions within a noncommutative gauge theory of gravity, revealing key geometric changes.

Findings

Noncommutativity removes coordinate singularities.

Corrected horizons are derived from the modified metric.

Curvature scalar is computed for the noncommutative solution.

Abstract

The leading order corrections to Reissner--Nordstrom solutions of the Einstein's equations on noncommutative space time have been worked out basing on a noncommutative gauge theory of gravity. From the corrcted metric the horizons have been derived and the curvature scalar is also computed. The introduction of noncommutativity leads to the removal of the coordinate singularities.