| Title: | Gaussian null coordinates for rotating charged black holes and conserved charges |
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| Authors: | ID Cvetič, Mirjam (Author)
ID Pope, Christopher N. (Author)
ID Saha, Aritra (Author)
ID Satz, Alejandro (Author) |
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| Files: |  Gaussian_null_coordinates_Cvetic_2020.pdf (244,90 KB)
MD5: 1FBFD970447F3388AC0AF03D1EECDA4B
 https://journals.aps.org/prd/abstract/10.1103/PhysRevD.101.066025
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| Language: | English |
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| Work type: | Scientific work |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | UM - University of Maribor
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| Abstract: | Motivated by the study of conserved Aretakis charges for a scalar field on the horizon of an extremal black hole, we construct the metrics for certain classes of four-dimensional and five-dimensional extremal rotating black holes in Gaussian null coordinates. We obtain these as expansions in powers of the radial coordinate, up to sufficient order to be able to compute the Aretakis charges. The metrics we consider are for 4-charge black holes in four-dimensional STU supergravity (N = 2 supergravity coupled to three vector multiplets) (including the Kerr-Newman black hole in the equal-charge case) and the general 3-charge black holes in five-dimensional STU supergravity. We also investigate the circumstances under which the Aretakis charges of an extremal black hole can be mapped by conformal inversion of the metric into Newman-Penrose charges at null infinity. We show that while this works for four-dimensional static black holes, a simple radial inversion fails in rotating cases because a necessary conformal symmetry of the massless scalar equation breaks down. We also discuss that a massless scalar field in dimensions higher than four does not have any conserved Newman-Penrose charge, even in a static asymptotically flat spacetime. |
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| Keywords: | supergravitiy, flat spacetime, black hole, four-dimensional rotating, metrics |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Submitted for review: | 03.03.2020 |
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| Article acceptance date: | 09.03.2020 |
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| Publication date: | 26.03.2020 |
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| Publisher: | American Physical Society |
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| Year of publishing: | 2020 |
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| Number of pages: | Str. 1-12 |
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| Numbering: | Letn. 101, št. 6, št. članka 66025 |
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| PID: | 20.500.12556/DKUM-86163  |
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| UDC: | 530.122.3 |
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| ISSN on article: | 2470-0029 |
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| COBISS.SI-ID: | 20853251 |
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| DOI: | 10.1103/PhysRevD.101.066025 |
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| Publication date in DKUM: | 16.10.2023 |
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| Views: | 523 |
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| Downloads: | 42 |
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| Metadata: |    |
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| Categories: | Misc.
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