Emergent Schwarzschild and Reissner-Nordstrom black holes in 4D: An effective curvature sourced by a B2-field on a D4-brane

TL;DR

This paper demonstrates how effective curvature sourced by a B2-field on a D4-brane can give rise to emergent Schwarzschild and Reissner-Nordstrom black holes, revealing quantum corrections due to background fluctuations.

Contribution

It introduces a novel approach to derive emergent black holes from torsion dynamics in a generalized curvature framework on D-branes.

Findings

Emergent Schwarzschild and Reissner-Nordstrom black holes are obtained.

Background B2-field induces quantum corrections in the effective metric.

Dynamical effects of background fluctuations lead to charged black hole solutions.

Abstract

We obtain a Schwarzschild and a Reissner-Nordstrom emergent black holes, by exploring the torsion dynamics in a generalized curvature formulation, underlying an effective D4-brane on S1. It is shown that a constant effective metric, sourced by a background fluctuation in B2-potential, on a D3-brane receives a dynamical quantum correction in presence of an electric charge.