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Effective Field Theory of Black Hole Perturbations with Timelike Scalar Profile: Formulation

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arxiv 2204.00228 v4 pith:6PHHZGIH submitted 2022-04-01 hep-th astro-ph.COgr-qc

Shinji Mukohyama , Vicharit Yingcharoenrat This is my paper · ORCID
classification hep-thastro-ph.COgr-qc
keywords backgroundfieldscalartimelikeblackdiffeomorphismeffectivehole
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abstract

We formulate the Effective Field Theory (EFT) of perturbations within scalar-tensor theories on an inhomogeneous background. The EFT is constructed while keeping a background of a scalar field to be $\textit{timelike}$, which spontaneously breaks the time diffeomorphism. We find a set of consistency relations that are imposed by the invariance of the EFT under the 3d spatial diffeomorphism. This EFT can be generically applied to any inhomogeneous background metric as long as the scalar profile is everywhere timelike. For completeness, we report a dictionary between our EFT parameters to those of Horndeski theories. Finally, we compute background equations for a class of spherically symmetric, static black hole backgrounds, including a stealth Schwarzschild-de Sitter solution.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On the logarithmic Love number of black holes beyond general relativity

    gr-qc 2025-12 conditional novelty 6.0 of 10

    Logarithmic black hole Love numbers are fixed directly by the Taylor coefficients of the perturbation equation, and perturbative deviations from Schwarzschild/Reissner-Nordström force non-zero running.

  2. Stealth black hole solutions in higher-order Maxwell-Einstein theories

    gr-qc 2025-06 conditional novelty 5.0 of 10

    Under specific algebraic conditions on the coupling functions, Reissner-Nordström and Schwarzschild-(A)dS solutions persist in higher-order Maxwell-Einstein theories, including stealth solutions and dyonic solutions i...

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