Tidal Love numbers of braneworld black holes and wormholes

We study the tidal deformations of various known black hole and wormhole solutions in a simple context of warped compactification -- Randall-Sundrum theory in which the four-dimensional spacetime geometry is that of a brane embedded in five-dimensional Anti-de Sitter spacetime. The linearized gravit...

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Main Author: Tan, Hai Siong
Other Authors: School of Physical and Mathematical Sciences
Format: Journal Article
Language:English
Published: 2020
Subjects:
Online Access:https://hdl.handle.net/10356/145465
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author Tan, Hai Siong
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Tan, Hai Siong
author_sort Tan, Hai Siong
collection NTU
description We study the tidal deformations of various known black hole and wormhole solutions in a simple context of warped compactification -- Randall-Sundrum theory in which the four-dimensional spacetime geometry is that of a brane embedded in five-dimensional Anti-de Sitter spacetime. The linearized gravitational perturbation theory generically reduces to either an inhomogeneous second-order ODE or a homogeneous third-order ODE of which indicial roots associated with an expansion about asymptotic infinity can be related to Tidal Love Numbers. We describe various tidal-deformed metrics, classify their indicial roots, and find that in particular the quadrupolar TLN is generically non-vanishing. Thus it could be a signature of a braneworld by virtue of its potential appearance in gravitational waveforms emitted in binary merger events.
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spelling ntu-10356/1454652023-02-28T19:26:40Z Tidal Love numbers of braneworld black holes and wormholes Tan, Hai Siong School of Physical and Mathematical Sciences Science::Physics Braneworld Black Holes We study the tidal deformations of various known black hole and wormhole solutions in a simple context of warped compactification -- Randall-Sundrum theory in which the four-dimensional spacetime geometry is that of a brane embedded in five-dimensional Anti-de Sitter spacetime. The linearized gravitational perturbation theory generically reduces to either an inhomogeneous second-order ODE or a homogeneous third-order ODE of which indicial roots associated with an expansion about asymptotic infinity can be related to Tidal Love Numbers. We describe various tidal-deformed metrics, classify their indicial roots, and find that in particular the quadrupolar TLN is generically non-vanishing. Thus it could be a signature of a braneworld by virtue of its potential appearance in gravitational waveforms emitted in binary merger events. Published version 2020-12-22T07:40:23Z 2020-12-22T07:40:23Z 2020 Journal Article Tan, H. S. (2020). Tidal Love numbers of braneworld black holes and wormholes. Physical Review D, 102(4), 044061-. doi:10.1103/PhysRevD.102.044061 2470-0010 https://hdl.handle.net/10356/145465 10.1103/PhysRevD.102.044061 4 102 en Physical Review D © 2020 American Physical Society. All rights reserved. This paper was published in Physical Review D and is made available with permission of American Physical Society. application/pdf
spellingShingle Science::Physics
Braneworld
Black Holes
Tan, Hai Siong
Tidal Love numbers of braneworld black holes and wormholes
title Tidal Love numbers of braneworld black holes and wormholes
title_full Tidal Love numbers of braneworld black holes and wormholes
title_fullStr Tidal Love numbers of braneworld black holes and wormholes
title_full_unstemmed Tidal Love numbers of braneworld black holes and wormholes
title_short Tidal Love numbers of braneworld black holes and wormholes
title_sort tidal love numbers of braneworld black holes and wormholes
topic Science::Physics
Braneworld
Black Holes
url https://hdl.handle.net/10356/145465
work_keys_str_mv AT tanhaisiong tidallovenumbersofbraneworldblackholesandwormholes