Generating rotating regular black hole solutions without complexification

By M. Azreg-Ainou. 2014

217 citations recorded by the source corpus.

We drop the complexification procedure from the Newman-Janis algorithm and introduce more physical arguments and symmetry properties, and we show how one can generate regular and singular rotating black hole and non-black-hole solutions in Boyer-Lindquist coordinates. We focus on generic rotating regular black holes and show that they are regular on the Kerr-like ring but physical entities are undefined there. We show that rotating regular black holes have much smaller electric charges, and, with increasing charge, they turn into regular non-black-hole solutions well before their KerrNewman counterparts become naked singularities. No causality violations occur in the region inside a rotating regular black hole. The separability of the Hamilton-Jacobi equation for neutral particles is also carried out in the generic case, and the innermost boundaries of circular orbits for particles are briefly discussed. Other, but special, properties pertaining to the rotating regular counterpart of the Ayón-Beato–Garćıa regular static black hole are also investigated.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/632aa5bd5fc3423a842f6df5344be5cd5af525e4

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

In Nuclear and High Energy Physics

Citations in the corpus

Rotating black holes in 4D Einstein-Gauss-Bonnet gravity and its shadow (2020, methodology): “J C A P 0 7 ( 2 0 2 0 ) 0 5 3 Next we perform the complex coordinate transformation in which δ ν transform as [71]”
Rotating black hole solutions with quintessential energy (2015, background): “(13) The transformation functions λ(r) and χ(r) are found due to the requirement that all the non-diagonal components of the metric tensor, except the coefficient gtφ (gφt), are equal to zero [86].”
Shadow and quasinormal modes of a rotating loop quantum black hole (2020, methodology): “For this case, the rotating spacetime solution is termed “regular non-black-hole solution” [76], since it represents a regular spacetime solution without horizon as we shall show later.”
Construction of Regular Black Holes in General Relativity (2016, background): “Other regular black hole models are also proposed later [5, 6, 7, 8, 9, 10, 11, 12, 13, 14].”