Basic Generic Properties of Regular Rotating Black Holes and Solitons

Abstract

We present a systematic description of the basic generic properties of regular rotating black holes and solitons (compact nonsingular nondissipative objects without horizons related by self-interaction and replacing naked singularities). Rotating objects are described by axially symmetric solutions typically obtained by the Gürses-Gürsey algorithm, which is based on the Trautman-Newman techniques and includes the Newman-Janis complex transformation, from spherically symmetric solutions of the Kerr-Schild class specified by = ( = − ). Regular spherical solutions of this class satisfying the weak energy condition have obligatory de Sitter center. Rotation transforms de Sitter center into the equatorial de Sitter vacuum disk. Regular solutions have the Kerr or KerrNewman asymptotics for a distant observer, at most two horizons and two ergospheres, and two different kinds of interiors. For regular rotating solutions originated from spherical solutions satisfying the dominant energy condition, there can exist the interior S-surface of de Sitter vacuum which contains the de Sitter disk as a bridge. In the case when a related spherical solution violates the dominant energy condition, vacuum interior of a rotating object reduces to the de Sitter disk only.

Dark Matter Candidates with Dark Energy Interiors Determined by Energy Conditions

“…General approach for obtaining axially symmetric solutions from spherical solutions of this class was developed by Gürses and Gürsey [35]. It includes the Newman-Janis algorithm and allows to transform spherical solutions to the axially symmetric solutions which describe regular rotating black holes and spinning G-lumps replacing naked singularities [36][37][38] (for a review see Reference [39]). The de Sitter center is transformed to the equatorial de Sitter vacuum disk which is the generic property of all axial solutions obtained with the Newman-Janis algorithm [36,39].…”

Mass, Spacetime Symmetry, de Sitter Vacuum, and the Higgs Mechanism

“…To look for a physical mechanism responsible for appearance of the minimal length in annihilation by involving gravity and the de Sitter vacuum which is able to prevent a formation of singularities (and related divergences of physical quantities) by its intrinsic negative pressure, we appeal to the relevant generic model-independent feature of a spinning electrically charged NED-GR soliton-its interior de Sitter vacuum [19] (for a review [59][60][61]).…”

“…Stress-energy tensors of electromagnetic fields have the algebraic structure such as T t t = T r r (p r = −ρ). Spherically symmetric metrics typically applied for constructing axially symmetric solutions which describe spinning objects, belong to the Kerr-Schild class ( [60] and references therein) 15) and can be transformed in general model-independent setting to the axially symmetric metrics by the Gürses-Gürsey formalism [69] (which includes the Newman-Janis algorithm [70] most frequently applied for obtaining the axial metrics). In the Boyer-Lindquist coordinates the metric has the form…”

Identification of a Regular Black Hole by Its Shadow

“…All regular black hole solutions obtained by the Newman-Janis algorithm presented in the literature belong to the Kerr-Schild class and describe the de Sitter-Kerr black holes (for a review [35]).…”

“…Regular rotating de Sitter-Kerr black holes have at most two horizons, two ergospheres, and two different kinds of interiors [34,35]. For the first type interior, a related spherical solution violates the dominant energy condition, and the interior of a rotating solution reduces to the de Sitter vacuum disk and satisfies the weak energy condition.…”