Exotic Solutions in Einstein-Antisymmetric Tensor Theory

TL;DR

This paper explores classical solutions in Einstein-antisymmetric tensor theory, revealing black holes with exotic hair or violations of cosmic censorship, depending on the gauge coupling, thus expanding understanding of such gravitational models.

Contribution

It demonstrates the existence of novel classical solutions in Einstein-antisymmetric tensor theory, including black holes with non-abelian hair and spacetime violations of cosmic censorship.

Findings

Existence of black holes with non-abelian hair

Spacetimes violating cosmic censorship hypothesis

Dependence of solutions on gauge coupling parameter

Abstract

Classical solutions of the self-interacting, non-abelian antisymmetric tensor gauge theory of Freedman and Townsend coupled to Einstein gravity is discussed. Particularly, it is demonstrated that the theory admits a classical metric solution which, depending on the value of the gauge coupling parameter of the theory, exhibits a black hole with an exotic non-abelian hair or a spacetime showing the ``violation of the cosmic censorship hypothesis'' which should be distinguished from white holes.