The curvature dependence of gravitational-wave tests of General Relativity
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arXiv
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| Format: | Preprint |
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2024
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| author | Payne, Ethan Isi, Maximiliano Chatziioannou, Katerina Lehner, Luis Chen, Yanbei Farr, Will M. |
| author_facet | Payne, Ethan Isi, Maximiliano Chatziioannou, Katerina Lehner, Luis Chen, Yanbei Farr, Will M. |
| contents | High-energy extensions to General Relativity modify the Einstein-Hilbert action with higher-order curvature corrections and theory-specific coupling constants. The order of these corrections imprints a universal curvature dependence on observations while the coupling constant controls the deviation strength. In this Letter, we leverage the theory-independent expectation that modifications to the action of a given order in spacetime curvature (Riemann tensor and contractions) lead to observational deviations that scale with the system length-scale to a corresponding power. Focusing on gravitational wave observations, the relevant scale is the binary total mass, and deviations scale as a power of mass $p$ related to the action order. For example, $p=4,6$ arise in effective field theory for cubic and quartic theories respectively. We incorporate this universal scaling into theory-agnostic tests of General Relativity with current gravitational-wave observations, thus enabling constraints on the curvature scaling without compromising the agnostic nature of these tests. This introduces a flexible yet highly interpretable new paradigm for tests of General Relativity with gravitational-wave catalogs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_07043 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The curvature dependence of gravitational-wave tests of General Relativity Payne, Ethan Isi, Maximiliano Chatziioannou, Katerina Lehner, Luis Chen, Yanbei Farr, Will M. General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena High-energy extensions to General Relativity modify the Einstein-Hilbert action with higher-order curvature corrections and theory-specific coupling constants. The order of these corrections imprints a universal curvature dependence on observations while the coupling constant controls the deviation strength. In this Letter, we leverage the theory-independent expectation that modifications to the action of a given order in spacetime curvature (Riemann tensor and contractions) lead to observational deviations that scale with the system length-scale to a corresponding power. Focusing on gravitational wave observations, the relevant scale is the binary total mass, and deviations scale as a power of mass $p$ related to the action order. For example, $p=4,6$ arise in effective field theory for cubic and quartic theories respectively. We incorporate this universal scaling into theory-agnostic tests of General Relativity with current gravitational-wave observations, thus enabling constraints on the curvature scaling without compromising the agnostic nature of these tests. This introduces a flexible yet highly interpretable new paradigm for tests of General Relativity with gravitational-wave catalogs. |
| title | The curvature dependence of gravitational-wave tests of General Relativity |
| topic | General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena |
| url | https://arxiv.org/abs/2407.07043 |