5D rotating regular Myers-Perry black holes and their shadow

TL;DR

This paper introduces a five-dimensional rotating regular black hole model that extends Myers-Perry black holes, analyzing how the shadow size and shape are affected by a new free parameter.

Contribution

It proposes a novel 5D rotating regular black hole metric with two rotation parameters and a free parameter, generalizing Myers-Perry black holes and studying their shadows.

Findings

Shadow size decreases with increasing parameter k

Shadow becomes more distorted as k increases

The model reduces to Myers-Perry black holes when k=0

Abstract

It is widely believed that the curvature singularities are an artifact of general relativity and may not exist in the Universe, and likely to be defined by the quantum gravity. In the absence of successful quantum gravity, significant attention has been shifted towards the regular models. We present a five-dimensional ($5D$) rotating regular Myers-Perry like black hole metric with two rotation parameters ($a,b$) and a free parameter ($k$). Our $5D$ rotating regular metric encompasses $5D$ Myers-Perry black hole which can be recovered as a special case when $k=0$. The size of the shadow cast by the black holes is significantly smaller and more distorted when the parameter $k$ is increased.