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

Farruh Atamurotov; Sushant G. Ghosh; Bobomurat Ahmedov

doi:10.1140/epjc/s10052-016-4122-9

paper

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

arXiv:1506.03690 · doi:10.1140/epjc/s10052-016-4122-9

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 ( $β \to \infty$ ). We find that for a given $β$ , 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 $β$ . While $a < a_{E}$ describe a non-extremal Einstein-Born-Infeld black hole with outer and inner horizons. Similarly, the effect of $β$ 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 $β$ .

13 pages, 12 figures

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

Abstract

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