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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| Online Access: | https://arxiv.org/abs/2407.15123 |
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| _version_ | 1866910793603219456 |
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| author | Mukohyama, Shinji Seraille, Emeric Takahashi, Kazufumi Yingcharoenrat, Vicharit |
| author_facet | Mukohyama, Shinji Seraille, Emeric Takahashi, Kazufumi Yingcharoenrat, Vicharit |
| contents | Typically, constraints on parameters of the effective field theory (EFT) of dark energy have been obtained in the Jordan frame, where matter fields are minimally coupled to gravity. To connect these constraints with those of the EFT of black hole perturbations with a timelike scalar profile, it is necessary to perform a frame transformation on the EFT in general. In this paper, we study the conformal/disformal transformation of EFT parameters on an arbitrary background. Furthermore, we explore the effect of an EFT operator $M_6(r) \barσ^μ_ν δK^ν_α δK^α_μ$, which is elusive to the LIGO/Virgo bound on gravitational-wave speed, on the dynamics of odd-parity black hole perturbations. Intriguingly, a deviation from luminal propagation shows up only in the vicinity of the black hole, and the speeds of perturbations in the radial and angular directions are different in general due to the traceless part $\barσ^μ_ν$ of the background extrinsic curvature. This study establishes an important link between cosmological constraints and those obtained in the black hole regime. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_15123 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bridging Dark Energy and Black Holes with EFT: Frame Transformation and Gravitational Wave Speed Mukohyama, Shinji Seraille, Emeric Takahashi, Kazufumi Yingcharoenrat, Vicharit General Relativity and Quantum Cosmology Typically, constraints on parameters of the effective field theory (EFT) of dark energy have been obtained in the Jordan frame, where matter fields are minimally coupled to gravity. To connect these constraints with those of the EFT of black hole perturbations with a timelike scalar profile, it is necessary to perform a frame transformation on the EFT in general. In this paper, we study the conformal/disformal transformation of EFT parameters on an arbitrary background. Furthermore, we explore the effect of an EFT operator $M_6(r) \barσ^μ_ν δK^ν_α δK^α_μ$, which is elusive to the LIGO/Virgo bound on gravitational-wave speed, on the dynamics of odd-parity black hole perturbations. Intriguingly, a deviation from luminal propagation shows up only in the vicinity of the black hole, and the speeds of perturbations in the radial and angular directions are different in general due to the traceless part $\barσ^μ_ν$ of the background extrinsic curvature. This study establishes an important link between cosmological constraints and those obtained in the black hole regime. |
| title | Bridging Dark Energy and Black Holes with EFT: Frame Transformation and Gravitational Wave Speed |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2407.15123 |