Spherically Symmetric Solutions of Gravitational Field Equations in Kalb-Ramond Background

TL;DR

This paper derives explicit static spherically symmetric solutions to gravitational field equations in a spacetime with torsion, modeled by the Kalb-Ramond field, relevant for string-inspired gravity theories.

Contribution

It provides the first explicit solution for spherically symmetric spacetimes with Kalb-Ramond torsion in string-inspired gravity models.

Findings

Explicit static spherically symmetric solution derived

Torsion identified with Kalb-Ramond field strength

Relevance to string-inspired gravitational theories

Abstract

Static spherically symmetric solution in a background spacetime with torsion is derived explicitly. The torsion considered here is identified with the field strength of a second rank antisymmetric tensor field namely the Kalb-Ramond field and the proposed solution therefore has much significance in a string inspired gravitational field theory.