Dynamics of Electromagnetic Fields and Structure of Regular Rotating Electrically Charged Black Holes and Solitons in Nonlinear Electrodynamics Minimally Coupled to Gravity
We study the dynamics of electromagnetic fields of regular rotating electrically charged black holes and solitons replacing naked singularities in nonlinear electrodynamics minimally coupled to gravity (NED-GR). They are related by electromagnetic and gravitational interactions and described by the...
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MDPI AG
2019-09-01
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| Online Access: | https://www.mdpi.com/2218-1997/5/10/205 |
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| author | Irina Dymnikova Evgeny Galaktionov |
| author_facet | Irina Dymnikova Evgeny Galaktionov |
| author_sort | Irina Dymnikova |
| collection | DOAJ |
| description | We study the dynamics of electromagnetic fields of regular rotating electrically charged black holes and solitons replacing naked singularities in nonlinear electrodynamics minimally coupled to gravity (NED-GR). They are related by electromagnetic and gravitational interactions and described by the axially symmetric NED-GR solutions asymptotically Kerr-Newman for a distant observer. Geometry is described by the metrics of the Kerr-Schild class specified by <inline-formula> <math display="inline"> <semantics> <mrow> <msubsup> <mi>T</mi> <mi>t</mi> <mi>t</mi> </msubsup> <mo>=</mo> <msubsup> <mi>T</mi> <mi>r</mi> <mi>r</mi> </msubsup> <mrow> <mo>(</mo> <msub> <mi>p</mi> <mi>r</mi> </msub> <mo>=</mo> <mo>−</mo> <mi>ρ</mi> <mo>)</mo> </mrow> </mrow> </semantics> </math> </inline-formula> in the co-rotating frame. All regular axially symmetric solutions obtained from spherical solutions with the Newman-Janis algorithm belong to this class. The basic generic feature of all regular objects of this class, both electrically charged and electrically neutral, is the existence of two kinds of de Sitter vacuum interiors. We analyze the regular solutions to dynamical equations for electromagnetic fields and show which kind of a regular interior is favored by electromagnetic dynamics for NED-GR objects. |
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| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-04-11T13:43:20Z |
| publishDate | 2019-09-01 |
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| spelling | doaj.art-bf62d932d370428ca03ab626b22b9af52022-12-22T04:21:11ZengMDPI AGUniverse2218-19972019-09-0151020510.3390/universe5100205universe5100205Dynamics of Electromagnetic Fields and Structure of Regular Rotating Electrically Charged Black Holes and Solitons in Nonlinear Electrodynamics Minimally Coupled to GravityIrina Dymnikova0Evgeny Galaktionov1A.F. Ioffe Physico-Technical Institute of the Russian Academy of Sciences, Polytekhnicheskaja 26, St. Petersburg 194021, RussiaA.F. Ioffe Physico-Technical Institute of the Russian Academy of Sciences, Polytekhnicheskaja 26, St. Petersburg 194021, RussiaWe study the dynamics of electromagnetic fields of regular rotating electrically charged black holes and solitons replacing naked singularities in nonlinear electrodynamics minimally coupled to gravity (NED-GR). They are related by electromagnetic and gravitational interactions and described by the axially symmetric NED-GR solutions asymptotically Kerr-Newman for a distant observer. Geometry is described by the metrics of the Kerr-Schild class specified by <inline-formula> <math display="inline"> <semantics> <mrow> <msubsup> <mi>T</mi> <mi>t</mi> <mi>t</mi> </msubsup> <mo>=</mo> <msubsup> <mi>T</mi> <mi>r</mi> <mi>r</mi> </msubsup> <mrow> <mo>(</mo> <msub> <mi>p</mi> <mi>r</mi> </msub> <mo>=</mo> <mo>−</mo> <mi>ρ</mi> <mo>)</mo> </mrow> </mrow> </semantics> </math> </inline-formula> in the co-rotating frame. All regular axially symmetric solutions obtained from spherical solutions with the Newman-Janis algorithm belong to this class. The basic generic feature of all regular objects of this class, both electrically charged and electrically neutral, is the existence of two kinds of de Sitter vacuum interiors. We analyze the regular solutions to dynamical equations for electromagnetic fields and show which kind of a regular interior is favored by electromagnetic dynamics for NED-GR objects.https://www.mdpi.com/2218-1997/5/10/205regular black holesnonlinear electrodynamicsde sitter vacuum |
| spellingShingle | Irina Dymnikova Evgeny Galaktionov Dynamics of Electromagnetic Fields and Structure of Regular Rotating Electrically Charged Black Holes and Solitons in Nonlinear Electrodynamics Minimally Coupled to Gravity Universe regular black holes nonlinear electrodynamics de sitter vacuum |
| title | Dynamics of Electromagnetic Fields and Structure of Regular Rotating Electrically Charged Black Holes and Solitons in Nonlinear Electrodynamics Minimally Coupled to Gravity |
| title_full | Dynamics of Electromagnetic Fields and Structure of Regular Rotating Electrically Charged Black Holes and Solitons in Nonlinear Electrodynamics Minimally Coupled to Gravity |
| title_fullStr | Dynamics of Electromagnetic Fields and Structure of Regular Rotating Electrically Charged Black Holes and Solitons in Nonlinear Electrodynamics Minimally Coupled to Gravity |
| title_full_unstemmed | Dynamics of Electromagnetic Fields and Structure of Regular Rotating Electrically Charged Black Holes and Solitons in Nonlinear Electrodynamics Minimally Coupled to Gravity |
| title_short | Dynamics of Electromagnetic Fields and Structure of Regular Rotating Electrically Charged Black Holes and Solitons in Nonlinear Electrodynamics Minimally Coupled to Gravity |
| title_sort | dynamics of electromagnetic fields and structure of regular rotating electrically charged black holes and solitons in nonlinear electrodynamics minimally coupled to gravity |
| topic | regular black holes nonlinear electrodynamics de sitter vacuum |
| url | https://www.mdpi.com/2218-1997/5/10/205 |
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