A coordinate-independent formalism for detecting high-frequency gravitational waves
Abstract In an external electric or magnetic field, a gravitational wave (GW) may be converted into electromagnetic radiation. We present a coordinate-invariant framework to describe the GW signal in a detector that is based on this effect, such as cavities for axion searches. In this framework, we...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-08-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP08(2024)195 |
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| author | Wolfram Ratzinger Sebastian Schenk Pedro Schwaller |
| author_facet | Wolfram Ratzinger Sebastian Schenk Pedro Schwaller |
| author_sort | Wolfram Ratzinger |
| collection | DOAJ |
| description | Abstract In an external electric or magnetic field, a gravitational wave (GW) may be converted into electromagnetic radiation. We present a coordinate-invariant framework to describe the GW signal in a detector that is based on this effect, such as cavities for axion searches. In this framework, we pay special attention to the definition of manifestly coordinate-independent expressions for the electromagnetic fields that an external observer would detect. A careful assessment of the detector’s perceived motion allows us to treat both its mechanical and its electromagnetic response to the GW consistently. We further introduce well-defined approximations for which this motion may be neglected, and hence provide suggestions on which coordinate frame is suitable to characterise the GW signal in practice. We illustrate our findings in two examples, an infinitesimally thin rod and a spherical electromagnetic cavity. |
| format | Article |
| id | doaj-art-c2f8b7ee54fc4022a9db4d115ca8faa5 |
| institution | OA Journals |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-c2f8b7ee54fc4022a9db4d115ca8faa52025-08-20T02:22:29ZengSpringerOpenJournal of High Energy Physics1029-84792024-08-012024813710.1007/JHEP08(2024)195A coordinate-independent formalism for detecting high-frequency gravitational wavesWolfram Ratzinger0Sebastian Schenk1Pedro Schwaller2Department of Particle Physics and Astrophysics, Weizmann Institute of SciencePRISMA+ Cluster of Excellence & Mainz Institute for Theoretical Physics, Johannes Gutenberg-Universität MainzPRISMA+ Cluster of Excellence & Mainz Institute for Theoretical Physics, Johannes Gutenberg-Universität MainzAbstract In an external electric or magnetic field, a gravitational wave (GW) may be converted into electromagnetic radiation. We present a coordinate-invariant framework to describe the GW signal in a detector that is based on this effect, such as cavities for axion searches. In this framework, we pay special attention to the definition of manifestly coordinate-independent expressions for the electromagnetic fields that an external observer would detect. A careful assessment of the detector’s perceived motion allows us to treat both its mechanical and its electromagnetic response to the GW consistently. We further introduce well-defined approximations for which this motion may be neglected, and hence provide suggestions on which coordinate frame is suitable to characterise the GW signal in practice. We illustrate our findings in two examples, an infinitesimally thin rod and a spherical electromagnetic cavity.https://doi.org/10.1007/JHEP08(2024)195Axions and ALPsClassical Theories of GravitySpace-Time Symmetries |
| spellingShingle | Wolfram Ratzinger Sebastian Schenk Pedro Schwaller A coordinate-independent formalism for detecting high-frequency gravitational waves Journal of High Energy Physics Axions and ALPs Classical Theories of Gravity Space-Time Symmetries |
| title | A coordinate-independent formalism for detecting high-frequency gravitational waves |
| title_full | A coordinate-independent formalism for detecting high-frequency gravitational waves |
| title_fullStr | A coordinate-independent formalism for detecting high-frequency gravitational waves |
| title_full_unstemmed | A coordinate-independent formalism for detecting high-frequency gravitational waves |
| title_short | A coordinate-independent formalism for detecting high-frequency gravitational waves |
| title_sort | coordinate independent formalism for detecting high frequency gravitational waves |
| topic | Axions and ALPs Classical Theories of Gravity Space-Time Symmetries |
| url | https://doi.org/10.1007/JHEP08(2024)195 |
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