A Coordinate-Independent Formalism for Detecting High-Frequency Gravitational Waves
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866914935543431168 |
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| author | Ratzinger, Wolfram Schenk, Sebastian Schwaller, Pedro |
| author_facet | Ratzinger, Wolfram Schenk, Sebastian Schwaller, Pedro |
| contents | 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 | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_08572 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Coordinate-Independent Formalism for Detecting High-Frequency Gravitational Waves Ratzinger, Wolfram Schenk, Sebastian Schwaller, Pedro General Relativity and Quantum Cosmology Instrumentation and Methods for Astrophysics High Energy Physics - Experiment High Energy Physics - Phenomenology 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. |
| title | A Coordinate-Independent Formalism for Detecting High-Frequency Gravitational Waves |
| topic | General Relativity and Quantum Cosmology Instrumentation and Methods for Astrophysics High Energy Physics - Experiment High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2404.08572 |