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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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) |
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gravitational waves cosmology Cherenkov radiation Elementary particle physics QC793-793.5 |
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gravitational waves cosmology Cherenkov radiation Elementary particle physics QC793-793.5 Yi-Zen Chu Yen-Wei Liu Cherenkov Gravitational Radiation during the Radiation Era |
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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 |
_version_ |
1718410245905055744 |