Enhanced Ehlers transformation and the Majumdar-Papapetrou-NUT spacetime
Abstract The transformation which adds (or removes) NUT charge when it is applied to electrovacuum, axisymmetric and stationary space-times is studied. After analysing the Ehlers and the Reina-Treves transformations we propose a new one, more precise in the presence of the Maxwell electromagnetic fi...
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2020-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2020)123 |
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| author | Marco Astorino |
| author_facet | Marco Astorino |
| author_sort | Marco Astorino |
| collection | DOAJ |
| description | Abstract The transformation which adds (or removes) NUT charge when it is applied to electrovacuum, axisymmetric and stationary space-times is studied. After analysing the Ehlers and the Reina-Treves transformations we propose a new one, more precise in the presence of the Maxwell electromagnetic field. The enhanced Ehlers transformation proposed turns out to act as a gravitomagnetic duality, analogously to the electromagnetic duality, but for gravity: it rotates the mass charge into the gravomagnetic (or NUT) charge. As an example the Kerr-Newman-NUT black hole is obtained with the help of this enhanced transformation. Moreover a new analytical exact solution is built adding the NUT charge to a double charged black hole, at equilibrium. It describes the non-extremal generalisation of the Majumdar-Papapetrou-NUT solution. From the near-horizon analysis, its microscopic entropy, according to the Kerr/CFT correspondence, is found and the second law of black hole thermodynamics is discussed. |
| format | Article |
| id | doaj-art-23296b4f603b46fcb79c7250b37f885f |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-23296b4f603b46fcb79c7250b37f885f2025-02-09T12:06:16ZengSpringerOpenJournal of High Energy Physics1029-84792020-01-012020113810.1007/JHEP01(2020)123Enhanced Ehlers transformation and the Majumdar-Papapetrou-NUT spacetimeMarco Astorino0Istituto Nazionale di Fisica Nucleare (INFN), Sezione di MilanoAbstract The transformation which adds (or removes) NUT charge when it is applied to electrovacuum, axisymmetric and stationary space-times is studied. After analysing the Ehlers and the Reina-Treves transformations we propose a new one, more precise in the presence of the Maxwell electromagnetic field. The enhanced Ehlers transformation proposed turns out to act as a gravitomagnetic duality, analogously to the electromagnetic duality, but for gravity: it rotates the mass charge into the gravomagnetic (or NUT) charge. As an example the Kerr-Newman-NUT black hole is obtained with the help of this enhanced transformation. Moreover a new analytical exact solution is built adding the NUT charge to a double charged black hole, at equilibrium. It describes the non-extremal generalisation of the Majumdar-Papapetrou-NUT solution. From the near-horizon analysis, its microscopic entropy, according to the Kerr/CFT correspondence, is found and the second law of black hole thermodynamics is discussed.https://doi.org/10.1007/JHEP01(2020)123Black HolesClassical Theories of GravityDuality in Gauge Field TheoriesGauge-gravity correspondence |
| spellingShingle | Marco Astorino Enhanced Ehlers transformation and the Majumdar-Papapetrou-NUT spacetime Journal of High Energy Physics Black Holes Classical Theories of Gravity Duality in Gauge Field Theories Gauge-gravity correspondence |
| title | Enhanced Ehlers transformation and the Majumdar-Papapetrou-NUT spacetime |
| title_full | Enhanced Ehlers transformation and the Majumdar-Papapetrou-NUT spacetime |
| title_fullStr | Enhanced Ehlers transformation and the Majumdar-Papapetrou-NUT spacetime |
| title_full_unstemmed | Enhanced Ehlers transformation and the Majumdar-Papapetrou-NUT spacetime |
| title_short | Enhanced Ehlers transformation and the Majumdar-Papapetrou-NUT spacetime |
| title_sort | enhanced ehlers transformation and the majumdar papapetrou nut spacetime |
| topic | Black Holes Classical Theories of Gravity Duality in Gauge Field Theories Gauge-gravity correspondence |
| url | https://doi.org/10.1007/JHEP01(2020)123 |
| work_keys_str_mv | AT marcoastorino enhancedehlerstransformationandthemajumdarpapapetrounutspacetime |