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Evolution of axial perturbations in a non-rotating uncharged primordial black hole

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dc.contributor.author Sarkar, Arnab
dc.contributor.author Molla, Sabiruddin
dc.contributor.author Nayak, K. Rajesh
dc.date.accessioned 2024-12-06T05:19:31Z
dc.date.available 2024-12-06T05:19:31Z
dc.date.issued 2024-10
dc.identifier.citation General Relativity and Gravitation, Vol. 56,No. 10, A 130 en_US
dc.identifier.issn 0001-7701
dc.identifier.uri http://hdl.handle.net/2248/8601
dc.description Restricted Access en_US
dc.description The original publication is available at springerlink.com
dc.description.abstract We derive the equation governing the axial-perturbations in the space-time of a nonrotating uncharged primordial black hole (PBH), produced in early Universe, whose metric has been taken as the generalized McVittie metric. The generalized McVittie metric is a cosmological black hole metric, proposed by Faraoni and Jacques in 2007 (Phys. Rev. D 76:063510, 2007). This describes the space-time of a Schwarzschild black hole embedded in FLRW-Universe, while allowing its mass-change. Our derivation has basic similarities with the procedure of derivation of Chandrasekhar, for deriving the Regge-Wheeler equation for Schwarzschild metric (Chandrasekhar The Mathematical Theory of Black holes, Oxford University Press, New York, 1983); but it has some distinct differences with that due to the complexity and time-dependency of the generalized McVittie metric. We show that after applying some approximations which are very well valid in the early radiation dominated Universe, the overall equation governing the axial perturbations can be separated into radial and angular parts, among which the radial part is the intended one, as the angular part is identical to the case of Schwarzschild metric as expected. We identify the potential from the Schrödinger-like format of the equation and draw some physical interpretation from it. en_US
dc.language.iso en en_US
dc.publisher Springer Nature en_US
dc.relation.uri https://doi.org/10.1007/s10714-024-03309-6
dc.rights © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2024
dc.subject Generalized McVittie metric en_US
dc.subject Axial perturbations en_US
dc.subject Regge–Wheeler equation en_US
dc.title Evolution of axial perturbations in a non-rotating uncharged primordial black hole en_US
dc.type Article en_US


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