Einstein-Bumblebee-Dilaton black hole solution

TL;DR

This paper derives new charged black hole solutions in an Einstein-Bumblebee-scalar theory via Kaluza-Klein reduction, analyzing their thermodynamic stability and revealing stable configurations with modified properties.

Contribution

It introduces novel charged black hole solutions in a combined Einstein-Bumblebee-scalar framework using dimensional reduction, extending previous models.

Findings

Black hole solutions include charged de Sitter-Reissner-Nordstrom type.

Solutions are thermodynamically stable based on temperature, entropy, and heat capacity analysis.

The model incorporates effects of bumblebee VEV and fluctuations, affecting black hole properties.

Abstract

We obtain new black hole solutions in a Einstein-Bumblebee-scalar theory. By starting with a Einstein-Bumblebee theory in D + d dimensions, the scalar dilaton field and its interaction with the gravitational and bumblebee fields are obtained by Kaluza-Klein (KK) reduction over the extra dimensions. Considering the effects of both the bumblebee vacuum expectation value (VEV) and the fluctuations over the VEV, we obtained new charged solutions in (3 + 1) dimensions. For a vanishing dilaton, the black hole turned out to be a charged de Sitter-Reissner-Nordstrom solution, where the transverse mode is the Maxwell field and the longitudinal mode is the cosmological constant. The stability of these new solutions is investigated by means of the analysis of the black hole thermodynamics. The temperature, entropy and heat capacity show that these modified black holes are thermodynamic stable.