Dyonic Black Holes in Kaluza–Klein Theory with a Gauss–Bonnet Action
Kaluza–Klein theory attempts a unification of gravity and electromagnetism through the hypothesis that spacetime has five dimensions, of which only four are observed. The original model gives rise to the standard Einstein–Maxwell theory after dimensional reduction. However, in five dimensions, the E...
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| Format: | Article |
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MDPI AG
2023-12-01
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| Series: | Universe |
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| Online Access: | https://www.mdpi.com/2218-1997/9/12/509 |
| _version_ | 1797379232053067776 |
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| author | Salvatore Mignemi |
| author_facet | Salvatore Mignemi |
| author_sort | Salvatore Mignemi |
| collection | DOAJ |
| description | Kaluza–Klein theory attempts a unification of gravity and electromagnetism through the hypothesis that spacetime has five dimensions, of which only four are observed. The original model gives rise to the standard Einstein–Maxwell theory after dimensional reduction. However, in five dimensions, the Einstein–Hilbert action is not unique, and one can add to it a Gauss–Bonnet term, giving rise to nonlinear corrections in the dimensionally reduced action. We consider such a model, which reduces to Einstein gravity nonminimally coupled to nonlinear electrodynamics. The black hole solutions of the four-dimensional model modify the Reissner–Nordström solutions of general relativity. We show that in the modified solutions, the gravitational field presents the standard singularity at <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>r</mi><mo>=</mo><mn>0</mn></mrow></semantics></math></inline-formula>, while the electric field can be regular everywhere if the magnetic charge vanishes. |
| first_indexed | 2024-03-08T20:19:11Z |
| format | Article |
| id | doaj.art-7a3a34c843fe47f496e4bc4c236873bf |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-03-08T20:19:11Z |
| publishDate | 2023-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-7a3a34c843fe47f496e4bc4c236873bf2023-12-22T14:46:36ZengMDPI AGUniverse2218-19972023-12-0191250910.3390/universe9120509Dyonic Black Holes in Kaluza–Klein Theory with a Gauss–Bonnet ActionSalvatore Mignemi0Dipartimento di Matematica, Università di Cagliari, Via Ospedale 72, 09124 Cagliari, ItalyKaluza–Klein theory attempts a unification of gravity and electromagnetism through the hypothesis that spacetime has five dimensions, of which only four are observed. The original model gives rise to the standard Einstein–Maxwell theory after dimensional reduction. However, in five dimensions, the Einstein–Hilbert action is not unique, and one can add to it a Gauss–Bonnet term, giving rise to nonlinear corrections in the dimensionally reduced action. We consider such a model, which reduces to Einstein gravity nonminimally coupled to nonlinear electrodynamics. The black hole solutions of the four-dimensional model modify the Reissner–Nordström solutions of general relativity. We show that in the modified solutions, the gravitational field presents the standard singularity at <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>r</mi><mo>=</mo><mn>0</mn></mrow></semantics></math></inline-formula>, while the electric field can be regular everywhere if the magnetic charge vanishes.https://www.mdpi.com/2218-1997/9/12/509Kaluza–Klein theoryGauss–Bonnet Lagrangiancharged black holes |
| spellingShingle | Salvatore Mignemi Dyonic Black Holes in Kaluza–Klein Theory with a Gauss–Bonnet Action Universe Kaluza–Klein theory Gauss–Bonnet Lagrangian charged black holes |
| title | Dyonic Black Holes in Kaluza–Klein Theory with a Gauss–Bonnet Action |
| title_full | Dyonic Black Holes in Kaluza–Klein Theory with a Gauss–Bonnet Action |
| title_fullStr | Dyonic Black Holes in Kaluza–Klein Theory with a Gauss–Bonnet Action |
| title_full_unstemmed | Dyonic Black Holes in Kaluza–Klein Theory with a Gauss–Bonnet Action |
| title_short | Dyonic Black Holes in Kaluza–Klein Theory with a Gauss–Bonnet Action |
| title_sort | dyonic black holes in kaluza klein theory with a gauss bonnet action |
| topic | Kaluza–Klein theory Gauss–Bonnet Lagrangian charged black holes |
| url | https://www.mdpi.com/2218-1997/9/12/509 |
| work_keys_str_mv | AT salvatoremignemi dyonicblackholesinkaluzakleintheorywithagaussbonnetaction |