Scalar field quasinormal modes on asymptotically locally flat rotating black holes in three dimensions
The pure quadratic term of New Massive Gravity in three dimensions admits asymptotically locally flat, rotating black holes. These black holes are characterized by their mass and angular momentum, as well as by a hair of gravitational origin. As in the Myers-Perry solution in dimensions greater than...
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ftdatacite:10.48550/arxiv.1901.00448 2023-05-15T17:39:56+02:00 Scalar field quasinormal modes on asymptotically locally flat rotating black holes in three dimensions Anabalon, Andres Fierro, Octavio Figueroa, Jose Oliva, Julio 2019 https://dx.doi.org/10.48550/arxiv.1901.00448 https://arxiv.org/abs/1901.00448 unknown arXiv https://dx.doi.org/10.1140/epjc/s10052-019-6748-x arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ High Energy Physics - Theory hep-th General Relativity and Quantum Cosmology gr-qc FOS Physical sciences article-journal Article ScholarlyArticle Text 2019 ftdatacite https://doi.org/10.48550/arxiv.1901.00448 https://doi.org/10.1140/epjc/s10052-019-6748-x 2022-04-01T08:54:36Z The pure quadratic term of New Massive Gravity in three dimensions admits asymptotically locally flat, rotating black holes. These black holes are characterized by their mass and angular momentum, as well as by a hair of gravitational origin. As in the Myers-Perry solution in dimensions greater than five, there is no upper bound on the angular momentum. We show that, remarkably, the equation for a massless scalar field on this background can be solved in an analytic manner and that the quasinormal frequencies can be found in a closed form. The spectrum is obtained requiring ingoing boundary conditions at the horizon and an asymptotic behavior at spatial infinity that provides a well-defined action principle for the scalar probe. As the angular momentum of the black hole approaches zero, the imaginary part of the quasinormal frequencies tends to minus infinity, migrating to the north pole of the Riemann Sphere and providing infinitely damped modes of high frequency. We show that this is consistent with the fact that the static black hole within this family does not admit quasinormal modes for a massless scalar probe. : 17 pages, 5 figures. V2: improved figures. V3: typos corrected, references added and title slightly changed to match the version to appear in EPJC Text North Pole DataCite Metadata Store (German National Library of Science and Technology) North Pole Myers ENVELOPE(170.033,170.033,-72.117,-72.117) |
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DataCite Metadata Store (German National Library of Science and Technology) |
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High Energy Physics - Theory hep-th General Relativity and Quantum Cosmology gr-qc FOS Physical sciences |
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High Energy Physics - Theory hep-th General Relativity and Quantum Cosmology gr-qc FOS Physical sciences Anabalon, Andres Fierro, Octavio Figueroa, Jose Oliva, Julio Scalar field quasinormal modes on asymptotically locally flat rotating black holes in three dimensions |
topic_facet |
High Energy Physics - Theory hep-th General Relativity and Quantum Cosmology gr-qc FOS Physical sciences |
description |
The pure quadratic term of New Massive Gravity in three dimensions admits asymptotically locally flat, rotating black holes. These black holes are characterized by their mass and angular momentum, as well as by a hair of gravitational origin. As in the Myers-Perry solution in dimensions greater than five, there is no upper bound on the angular momentum. We show that, remarkably, the equation for a massless scalar field on this background can be solved in an analytic manner and that the quasinormal frequencies can be found in a closed form. The spectrum is obtained requiring ingoing boundary conditions at the horizon and an asymptotic behavior at spatial infinity that provides a well-defined action principle for the scalar probe. As the angular momentum of the black hole approaches zero, the imaginary part of the quasinormal frequencies tends to minus infinity, migrating to the north pole of the Riemann Sphere and providing infinitely damped modes of high frequency. We show that this is consistent with the fact that the static black hole within this family does not admit quasinormal modes for a massless scalar probe. : 17 pages, 5 figures. V2: improved figures. V3: typos corrected, references added and title slightly changed to match the version to appear in EPJC |
format |
Text |
author |
Anabalon, Andres Fierro, Octavio Figueroa, Jose Oliva, Julio |
author_facet |
Anabalon, Andres Fierro, Octavio Figueroa, Jose Oliva, Julio |
author_sort |
Anabalon, Andres |
title |
Scalar field quasinormal modes on asymptotically locally flat rotating black holes in three dimensions |
title_short |
Scalar field quasinormal modes on asymptotically locally flat rotating black holes in three dimensions |
title_full |
Scalar field quasinormal modes on asymptotically locally flat rotating black holes in three dimensions |
title_fullStr |
Scalar field quasinormal modes on asymptotically locally flat rotating black holes in three dimensions |
title_full_unstemmed |
Scalar field quasinormal modes on asymptotically locally flat rotating black holes in three dimensions |
title_sort |
scalar field quasinormal modes on asymptotically locally flat rotating black holes in three dimensions |
publisher |
arXiv |
publishDate |
2019 |
url |
https://dx.doi.org/10.48550/arxiv.1901.00448 https://arxiv.org/abs/1901.00448 |
long_lat |
ENVELOPE(170.033,170.033,-72.117,-72.117) |
geographic |
North Pole Myers |
geographic_facet |
North Pole Myers |
genre |
North Pole |
genre_facet |
North Pole |
op_relation |
https://dx.doi.org/10.1140/epjc/s10052-019-6748-x |
op_rights |
arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
op_doi |
https://doi.org/10.48550/arxiv.1901.00448 https://doi.org/10.1140/epjc/s10052-019-6748-x |
_version_ |
1766140701007937536 |