Basic generic properties of regular rotating black holes and solitons
type: Item
instance of: scholarly article
title: Basic generic properties of regular rotating black holes and solitons
zbMATH Open document ID: 1401.83016
DOI: 10.1155/2017/1035381
author: Evgeny Galaktionov
author: Irina Dymnikova
published in: Advances in Mathematical Physics
publication date: 2018-10-23T00:00:00Z
review text: Summary: 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 \(T_t^t = T_r^r(p_r = - \rho)\). 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 Kerr-Newman 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 \(\mathcal{S}\)-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.
Mathematics Subject Classification ID: 83C57
Mathematics Subject Classification ID: 83C75
Mathematics Subject Classification ID: 35Q51
zbMATH DE Number: 6962583
zbMATH Keywords: rotating black holes
zbMATH Keywords: solitons
zbMATH Keywords: naked singularities
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/1035381
OpenAlex ID: W2766642731
cites work: Spinning loop black holes
cites work: Rotating regular black holes
cites work: Regular rotating black holes and the weak energy condition
cites work: Hawking fluxes and anomalies in rotating regular black holes with a time-delay
cites work: Non-singular rotating black hole with a time delay in the center
cites work: On regular rotating black holes
cites work: Note on the Kerr Spinning-Particle Metric
cites work: The algebraic structure of a cosmological term in spherically symmetric solutions
cites work: The cosmological term as a source of mass
cites work: n-dimensional equations with the maximum number of symmetry generators
cites work: SPHERICALLY SYMMETRIC SPACE–TIME WITH REGULAR DE SITTER CENTER
cites work: Gravitational Field of a Spinning Mass as an Example of Algebraically Special Metrics
cites work: Q4748786
cites work: Spinning superconducting electrovacuum soliton
cites work: Electromagnetic source for the Kerr-Newman geometry
cites work: Regular rotating electrically charged black holes and solitons in non-linear electrodynamics minimally coupled to gravity
cites work: Regular rotating de Sitter-Kerr black holes and solitons
cites work: General Relativity
cites work: The Large Scale Structure of Space-Time
cites work: Regular electrically charged vacuum structures with de Sitter centre in nonlinear electrodynamics coupled to general relativity
cites work: Nonlinear electrodynamics from quantized strings
cites work: Existence of electrically charged structures with regular center in nonlinear electrodynamics minimally coupled to gravity
cites work: Global Structure of the Kerr Family of Gravitational Fields
cites work: Source of the Kerr Metric
cites work: Kerr–Newman electron as spinning soliton
cites work: Black holes, cosmology and extra dimensions
cites work: Spacetime symmetry and mass of a lepton
description: scientific article; zbMATH DE number 6962583