Black holes lessons from multipole ratios

Abstract We explain in detail how to calculate the gravitational mass and angular momentum multipoles of the most general non-extremal four-dimensional black hole with four magnetic and four electric charges. We also calculate these multipoles for generic supersymmetric four-dimensional microstate g...

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出版年:Journal of High Energy Physics
主要な著者: Iosif Bena, Daniel R. Mayerson
フォーマット: 論文
言語:英語
出版事項: SpringerOpen 2021-03-01
主題:
オンライン・アクセス:https://doi.org/10.1007/JHEP03(2021)114
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author Iosif Bena
Daniel R. Mayerson
author_facet Iosif Bena
Daniel R. Mayerson
author_sort Iosif Bena
collection DOAJ
container_title Journal of High Energy Physics
description Abstract We explain in detail how to calculate the gravitational mass and angular momentum multipoles of the most general non-extremal four-dimensional black hole with four magnetic and four electric charges. We also calculate these multipoles for generic supersymmetric four-dimensional microstate geometries and multi-center solutions. Both for Kerr black holes and BPS black holes many of these multipoles vanish. However, if one embeds these black holes in String Theory and slightly deforms them, one can calculate an infinite set of ratios of vanishing multipoles which remain finite as the deformation is taken away, and whose values are independent of the direction of deformation. For supersymmetric black holes, we can also compute these ratios by taking the scaling limit of multi-center solutions, and for certain black holes the ratios computed using the two methods agree spectacularly. For the Kerr black hole, these ratios pose strong constraints on the parameterization of possible deviations away from the Kerr geometry that should be tested by future gravitational wave interferometers.
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spelling doaj-art-c7bbd3375a74493ab13da22c2cf014aa2025-08-19T20:47:20ZengSpringerOpenJournal of High Energy Physics1029-84792021-03-012021315410.1007/JHEP03(2021)114Black holes lessons from multipole ratiosIosif Bena0Daniel R. Mayerson1Université Paris-Saclay, CNRS, CEA, Institut de Physique ThéoriqueUniversité Paris-Saclay, CNRS, CEA, Institut de Physique ThéoriqueAbstract We explain in detail how to calculate the gravitational mass and angular momentum multipoles of the most general non-extremal four-dimensional black hole with four magnetic and four electric charges. We also calculate these multipoles for generic supersymmetric four-dimensional microstate geometries and multi-center solutions. Both for Kerr black holes and BPS black holes many of these multipoles vanish. However, if one embeds these black holes in String Theory and slightly deforms them, one can calculate an infinite set of ratios of vanishing multipoles which remain finite as the deformation is taken away, and whose values are independent of the direction of deformation. For supersymmetric black holes, we can also compute these ratios by taking the scaling limit of multi-center solutions, and for certain black holes the ratios computed using the two methods agree spectacularly. For the Kerr black hole, these ratios pose strong constraints on the parameterization of possible deviations away from the Kerr geometry that should be tested by future gravitational wave interferometers.https://doi.org/10.1007/JHEP03(2021)114Black HolesBlack Holes in String Theory
spellingShingle Iosif Bena
Daniel R. Mayerson
Black holes lessons from multipole ratios
Black Holes
Black Holes in String Theory
title Black holes lessons from multipole ratios
title_full Black holes lessons from multipole ratios
title_fullStr Black holes lessons from multipole ratios
title_full_unstemmed Black holes lessons from multipole ratios
title_short Black holes lessons from multipole ratios
title_sort black holes lessons from multipole ratios
topic Black Holes
Black Holes in String Theory
url https://doi.org/10.1007/JHEP03(2021)114
work_keys_str_mv AT iosifbena blackholeslessonsfrommultipoleratios
AT danielrmayerson blackholeslessonsfrommultipoleratios