A Four-Parameter Black-Hole Solution in the Bumblebee Gravity Model

TL;DR

This paper presents a new analytical four-parameter black-hole solution within the bumblebee gravity model, expanding the known solution family and exploring special parameter cases.

Contribution

It introduces a novel four-parameter black-hole solution in the bumblebee gravity model, extending previous two-parameter solutions and analyzing special parameter configurations.

Findings

Derived an analytical spherical black-hole solution with four parameters.

Identified special parameter choices with distinct properties.

Expanded the solution space beyond existing two-parameter models.

Abstract

The bumblebee gravity model includes a class of vector-tensor theories of gravitation where the vector field couples to the Ricci tensor quadratically. We obtain an analytical spherical black-hole solution in this model. The solution has four parameters, expanding the two-parameter solution family known in the literature. Special choices of the parameters are pointed out and discussed.