Horizon structure of rotating Einstein-Born-Infeld black holes and shadow

TL;DR

This paper analyzes the horizon structure and shadow of rotating Einstein-Born-Infeld black holes, revealing how the Born-Infeld parameter influences extremality, horizons, ergoregions, and the size of the black hole shadow.

Contribution

It provides a detailed study of the horizon structure and shadow characteristics of Einstein-Born-Infeld black holes, including the effects of the Born-Infeld parameter, which was not previously explored.

Findings

Critical spin parameter decreases with increasing 

Black hole shadow size decreases as  increases

Shadow of Einstein-Born-Infeld black hole is smaller than Reissner-Nordstrom black hole

Abstract

We investigate the horizon structure of the rotating Einstein-Born-Infeld solution which goes over to the Einstein-Maxwell's Kerr-Newman solution as the Born-Infeld parameter goes to infinity ($\beta \rightarrow \infty$). We find that for a given $\beta$, mass $M$ and charge $Q$, there exist critical spinning parameter $a_{E}$ and $r_{H}^{E}$, which corresponds to an extremal Einstein-Born-Infeld black hole with degenerate horizons, and $a_{E}$ decreases and $r_{H}^{E}$ increases with increase in the Born-Infeld parameter $\beta$. While $a<a_{E}$ describe a non-extremal Einstein-Born-Infeld black hole with outer and inner horizons. Similarly, the effect of $\beta$ on infinite redshift surface and in turn on ergoregion is also included. It is well known that a black hole can cast a shadow as an optical appearance due to its strong gravitational field. We also investigate the shadow cast by the non-rotating ($a=0$) Einstein-Born-Infeld black hole and demonstrate that the null geodesic equations can be integrated that allows us to investigate the shadow cast by a black hole which is found to be a dark zone covered by a circle. Interestingly, the shadow of the Einstein-Born-Infeld black hole is slightly smaller than for the Reissner-Nordstrom black hole. F urther, the shadow is concentric circles whose radius decreases with increase in value of parameter $\beta$.