Bumblebee gravity with a Kerr-Sen-like solution and its Shadow

TL;DR

This paper explores how Lorentz violation, introduced via a bumblebee field, affects the properties of a Kerr-Sen-like black hole, including its shadow and radiation emission rates, revealing observable deviations from standard black hole models.

Contribution

It presents a novel Kerr-Sen-like black hole solution incorporating Lorentz violation through a bumblebee field and analyzes its effects on black hole shadow and radiation.

Findings

Lorentz violation alters the black hole shadow shape and size.

The emission rate of radiation varies significantly with the LV parameter.

The study provides potential observational signatures of Lorentz violation in black hole physics.

Abstract

Lorentz-Violating (LV) scenario gets involved through a bumblebee field vector field $B_\mu$. A spontaneous symmetry breaking allows the field to acquires a vacuum expectation value that generates LV into the system. A Kerr-Sen-like solution has been found out starting from the generalized form of a radiating stationery axially symmetric black-hole metric. We compute the effective potential offered by the null geodesics in the bumblebee rotating black-hole spacetime. The shadow has been sketched for different variations of the parameters involved in the system. A careful investigation has been carried out to study how the shadow gets affected when Lorentz violation enters into the picture. The emission rate of radiation has also been studied and how it varies with the LV parameter $\ell$ is studied scrupulously.