Cherenkov Gravitational Radiation during the Radiation Era

Cherenkov radiation may occur whenever the source is moving faster than the waves it generates. In a radiation dominated universe, with equation-of-state <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><...

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Autores principales: Yi-Zen Chu, Yen-Wei Liu
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Publicado: MDPI AG 2021
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spelling oai:doaj.org-article:d1c753910d48403080d4a143963824c62021-11-25T19:09:47ZCherenkov Gravitational Radiation during the Radiation Era10.3390/universe71104372218-1997https://doaj.org/article/d1c753910d48403080d4a143963824c62021-11-01T00:00:00Zhttps://www.mdpi.com/2218-1997/7/11/437https://doaj.org/toc/2218-1997Cherenkov radiation may occur whenever the source is moving faster than the waves it generates. In a radiation dominated universe, with equation-of-state <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>w</mi><mo>=</mo><mn>1</mn><mo>/</mo><mn>3</mn></mrow></semantics></math></inline-formula>, we have recently shown that the Bardeen scalar-metric perturbations contribute to the linearized Weyl tensor in such a manner that its wavefront propagates at acoustic speed <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msqrt><mi>w</mi></msqrt><mo>=</mo><mn>1</mn><mo>/</mo><msqrt><mn>3</mn></msqrt></mrow></semantics></math></inline-formula>. In this work, we explicitly compute the shape of the Bardeen Cherenkov cone and wedge generated respectively by a supersonic point mass (approximating a primordial black hole) and a straight Nambu-Goto wire (approximating a cosmic string) moving perpendicular to its length. When the black hole or cosmic string is moving at ultra-relativistic speeds, we also calculate explicitly the sudden surge of scalar-metric induced tidal forces on a pair of test particles due to the passing Cherenkov shock wave. These forces can stretch or compress, depending on the orientation of the masses relative to the shock front’s normal.Yi-Zen ChuYen-Wei LiuMDPI AGarticlegravitational wavescosmologyCherenkov radiationElementary particle physicsQC793-793.5ENUniverse, Vol 7, Iss 437, p 437 (2021)
institution DOAJ
collection DOAJ
language EN
topic gravitational waves
cosmology
Cherenkov radiation
Elementary particle physics
QC793-793.5
spellingShingle gravitational waves
cosmology
Cherenkov radiation
Elementary particle physics
QC793-793.5
Yi-Zen Chu
Yen-Wei Liu
Cherenkov Gravitational Radiation during the Radiation Era
description Cherenkov radiation may occur whenever the source is moving faster than the waves it generates. In a radiation dominated universe, with equation-of-state <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>w</mi><mo>=</mo><mn>1</mn><mo>/</mo><mn>3</mn></mrow></semantics></math></inline-formula>, we have recently shown that the Bardeen scalar-metric perturbations contribute to the linearized Weyl tensor in such a manner that its wavefront propagates at acoustic speed <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msqrt><mi>w</mi></msqrt><mo>=</mo><mn>1</mn><mo>/</mo><msqrt><mn>3</mn></msqrt></mrow></semantics></math></inline-formula>. In this work, we explicitly compute the shape of the Bardeen Cherenkov cone and wedge generated respectively by a supersonic point mass (approximating a primordial black hole) and a straight Nambu-Goto wire (approximating a cosmic string) moving perpendicular to its length. When the black hole or cosmic string is moving at ultra-relativistic speeds, we also calculate explicitly the sudden surge of scalar-metric induced tidal forces on a pair of test particles due to the passing Cherenkov shock wave. These forces can stretch or compress, depending on the orientation of the masses relative to the shock front’s normal.
format article
author Yi-Zen Chu
Yen-Wei Liu
author_facet Yi-Zen Chu
Yen-Wei Liu
author_sort Yi-Zen Chu
title Cherenkov Gravitational Radiation during the Radiation Era
title_short Cherenkov Gravitational Radiation during the Radiation Era
title_full Cherenkov Gravitational Radiation during the Radiation Era
title_fullStr Cherenkov Gravitational Radiation during the Radiation Era
title_full_unstemmed Cherenkov Gravitational Radiation during the Radiation Era
title_sort cherenkov gravitational radiation during the radiation era
publisher MDPI AG
publishDate 2021
url https://doaj.org/article/d1c753910d48403080d4a143963824c6
work_keys_str_mv AT yizenchu cherenkovgravitationalradiationduringtheradiationera
AT yenweiliu cherenkovgravitationalradiationduringtheradiationera
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