The Newman–Janis algorithm, rotating solutions and Einstein–Born–Infeld black holes

Cirilo-Lombardo, Diego Julio

doi:10.1088/0264-9381/21/6/009

Cited by 39 publications

(37 citation statements)

References 22 publications

(37 reference statements)

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“…A rotating black hole considered by Atamurotov, Ghosh, and Ahmedov [82] Atamurotov et al investigated the contour of the shadow of a rotating black hole [82] and they claimed that the rotating black hole was a rotating black hole obtained in Ref. [83].…”

Section: Dmentioning

confidence: 99%

Black hole shadow in an asymptotically flat, stationary, and axisymmetric spacetime: The Kerr-Newman and rotating regular black holes

Tsukamoto

2018

Phys. Rev. D

174

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The shadow of a black hole can be one of the strong observational evidences for stationary black holes. If we see shadows at the center of galaxies, we would say whether the observed compact objects are black holes. In this paper, we consider a formula for the contour of a shadow in an asymptotically-flat, stationary, and axisymmetric black hole spacetime. We show that the formula is useful for obtaining the contour of the shadow of several black holes such as the Kerr-Newman black hole and rotating regular black holes. Using the formula, we can obtain new examples of the contour of the shadow of rotating black holes if assumptions are satisfied. * tsukamoto@rikkyo.ac.jp

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Section: Dmentioning

confidence: 99%

Black hole shadow in an asymptotically flat, stationary, and axisymmetric spacetime: The Kerr-Newman and rotating regular black holes

Tsukamoto

2018

Phys. Rev. D

174

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“…1 one can see its strong dependence on the β parameter close to the center of the black hole. The rotating counterpart of the EinsteinBorn-Infeld black hole has been obtained in [18]. The gravitational field of a rotating Einstein-Born-Infeld black hole space-time is described by the metric which in the BoyerLindquist coordinates is given by [18] …”

Section: Rotating Einstein-born-infeld Black Holementioning

confidence: 99%

“…It is worthwhile to mention that Kerr [16] and KerrNewman metrics [17] are undoubtedly the most significant exact solutions in the general relativity, which represent rotating black holes that can arise as the final fate of gravitational collapse. The generalization of the spherically symmetric Einstein-Born-Infeld black hole in the rotating case, the Kerr-Newman like solution, was studied by Lombardo [18]. In particular, it was demonstrated [1] that the rotating Einstein-Born-Infeld solutions can be derived starting from the corresponding exact spherically symmetric solutions [2] by the complex coordinate transformation previously developed by Newman and Janis [17].…”

Section: Introductionmentioning

confidence: 99%

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

2016

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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 BornInfeld parameter goes to infinity (β → ∞). We find that for a given β, mass M, and charge Q, there exist a critical spinning parameter a E and r E H , which corresponds to an extremal Einstein-Born-Infeld black hole with degenerate horizons, and a E decreases and r E H increases with increase of the Born-Infeld parameter β, while a < a E describes a non-extremal Einstein-Born-Infeld black hole with outer and inner horizons. Similarly, the effect of β on the infinite redshift surface and in turn on the ergo-region 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 both static and rotating Einstein-Born-Infeld black hole and demonstrate that the null geodesic equations can be integrated, which 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 an Einstein-Born-Infeld black hole is slightly smaller than for the Reissner-Nordstrom black hole, which consists of concentric circles, for different values of the Born-Infeld parameter β, whose radius decreases with increase of the value of the parameter β. Finally, we have studied observable distortion parameter for shadow of the rotating Einstein-Born-Infeld black hole. a e-mails: farruh@astrin.uz;

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“…But, it should be done with caution since the metric generated from the NJ method may not be the solution of the field equations of a particular theory. In fact some cases of failure of NJ algorithm in non-GR theories have been reported in [35,36]. In this work, we show that the metric generated from the NJ algorithm does not match with the metric derived by solving field equations in a nonlocal gravity model.…”

Section: Introductionmentioning

confidence: 75%

Blackhole in nonlocal gravity: comparing metric from Newmann–Janis algorithm with slowly rotating solution

2020

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The strong gravitational field near massive blackhole is an interesting regime to test General Relativity (GR) and modified gravity theories. The knowledge of spacetime metric around a blackhole is a primary step for such tests. Solving field equations for rotating blackhole is extremely challenging task for the most modified gravity theories. Though the derivation of Kerr metric of GR is also demanding job, the magical Newmann–Janis algorithm does it without actually solving Einstein equation for rotating blackhole. Due to this notable success of Newmann–Janis algorithm in the case of Kerr metric, it has been being used to obtain rotating blackhole solution in modified gravity theories. In this work, we derive the spacetime metric for the external region of a rotating blackhole in a nonlocal gravity theory using Newmann–Janis algorithm. We also derive metric for a slowly rotating blackhole by perturbatively solving field equations of the theory. We discuss the applicability of Newmann–Janis algorithm to nonlocal gravity by comparing slow rotation limit of the metric obtained through Newmann–Janis algorithm with slowly rotating solution of the field equation.

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The Newman–Janis algorithm, rotating solutions and Einstein–Born–Infeld black holes

Cited by 39 publications

References 22 publications

Black hole shadow in an asymptotically flat, stationary, and axisymmetric spacetime: The Kerr-Newman and rotating regular black holes

Black hole shadow in an asymptotically flat, stationary, and axisymmetric spacetime: The Kerr-Newman and rotating regular black holes

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

Blackhole in nonlocal gravity: comparing metric from Newmann–Janis algorithm with slowly rotating solution

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