Uniqueness of the Newman–Janis Algorithm in Generating the Kerr–Newman Metric

Drake, Samuel Picton; Szekeres, Peter

doi:10.1023/a:1001920232180

Cited by 143 publications

(143 citation statements)

References 8 publications

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“…[16]). Roughly speaking, the algorithm starts with a non-rotating spacetime and, at the end of the procedure, the spacetime has an asymptotic notion of angular momentum.…”

Section: Newman-janis Algorithmmentioning

confidence: 99%

Rotating regular black holes

2013

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The formation of spacetime singularities is a quite common phenomenon in General Relativity and it is regulated by specific theorems. It is widely believed that spacetime singularities do not exist in Nature, but that they represent a limitation of the classical theory. While we do not yet have any solid theory of quantum gravity, toy models of black hole solutions without singularities have been proposed. So far, there are only non-rotating regular black holes in the literature. These metrics can be hardly tested by astrophysical observations, as the black hole spin plays a fundamental role in any astrophysical process. In this letter, we apply the Newman-Janis algorithm to the Hayward and to the Bardeen black hole metrics. In both cases, we obtain a family of rotating solutions. Every solution corresponds to a different matter configuration. Each family has one solution with special properties, which can be written in Kerr-like form in Boyer-Lindquist coordinates. These special solutions are of Petrov type D, they are singularity free, but they violate the weak energy condition for a non-vanishing spin and their curvature invariants have different values at r = 0 depending on the way one approaches the origin. We propose a natural prescription to have rotating solutions with a minimal violation of the weak energy condition and without the questionable property of the curvature invariants at the origin.

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“…[16]). Roughly speaking, the algorithm starts with a non-rotating spacetime and, at the end of the procedure, the spacetime has an asymptotic notion of angular momentum.…”

Section: Newman-janis Algorithmmentioning

confidence: 99%

Rotating regular black holes

2013

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“…In the papers [1], [2] The Kerr spacetime metric can be derived from the Schwarzschild one by using the Newman-Janis algorithm [5], [6]. The derivation of the Kerr spacetime metric from Schwarzschild one has been given in several works [5], [7] and [8].…”

Section: Introductionmentioning

confidence: 99%

“…Here we convert the static, spherically symmetric Ayón-Beato-García regular black hole spacetime [1], [2], [3] into the rotational one by using the Newman-Janis algorithm [5], [6] and study some of its basic properties.…”

Section: Introductionmentioning

confidence: 99%

Rotating regular black hole solution

et al. 2014

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Based on the Newman-Janis algorithm the Ayón-Beato-García spacetime metric [1] of the regular spherically symmetric, static and charged black hole has been converted into rotational form. It is shown that the derived solution for rotating regular black hole is regular and the critical value of the electric charge Q for which two horizons merge into one sufficiently decreases in the presence of nonvanishing angular momentum a of the black hole.

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“…However, there are cases in which either the form of the Ricci tensor or Petrov type (or both) are preserved. An example of a kinematic non-preserving but Ricci and Weyl (Petrov type) preserving complex transformation is the original Newman-Janis transformation 4 of Schwarzschild to Kerr [11] (for more details see [12][13][14], also [15] for extension to Kerr-Newman and [16][17][18][19][20][21] for other applications). It is interesting to note that while the Petrov type is preserved in this case, the nature of the gravito-electromagnetic tensors are mapped from purely electric (Schwarzschild) to the general case (Kerr)-neither purely electric nor purely magnetic.…”

Section: Introductionmentioning

confidence: 99%

Complex windmill transformation producing new purely magnetic fluids

Lozanovski

Wylleman

2011

Class. Quantum Grav.

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Minimal complex windmill transformations of G 2 I B(ii) spacetimes (admitting a two-dimensional Abelian group of motions of the so-called Wainwright B(ii) class) are defined and the compatibility with a purely magnetic Weyl tensor is investigated. It is shown that the transformed spacetimes cannot be perfect fluids or purely magnetic Einstein spaces. We then determine which purely magnetic perfect fluids (PMpfs) can be windmill-transformed into purely magnetic anisotropic fluids (PMafs). Assuming separation of variables, complete integration produces two, algebraically general, G 2 I -B(ii) PMpfs: a solution with zero 4-acceleration vector and spatial energy-density gradient, previously found by the authors, and a new solution in terms of Kummer's functions, where these vectors are aligned and non-zero. The associated windmill PMafs are rotating but non-expanding. Finally, an attempt to relate the spacetimes to each other by a simple procedure leads to a G 2 I -B(ii) oneparameter PMaf generalization of the previously found metric.

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Uniqueness of the Newman–Janis Algorithm in Generating the Kerr–Newman Metric

Cited by 143 publications

References 8 publications

Rotating regular black holes

Rotating regular black holes

Rotating regular black hole solution

Complex windmill transformation producing new purely magnetic fluids

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