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Black hole perturbations in DHOST theories: Master variables, gradient instability, and strong coupling

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arxiv 2106.07128 v2 pith:TZJLOBWY submitted 2021-06-14 gr-qc hep-th

Kazufumi Takahashi , Hayato Motohashi This is my paper · ORCID
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keywords perturbationsblackdhostgradientholemastertheoriesvariables
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We study linear perturbations about static and spherically symmetric black hole solutions with stealth scalar hair in degenerate higher-order scalar-tensor (DHOST) theories. We clarify master variables and derive the quadratic Lagrangian for both odd- and even-parity perturbations. It is shown that the even modes are in general plagued by gradient instabilities, or otherwise the perturbations would be strongly coupled. Several possible ways out are also discussed.

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  1. Gravitomagnetic tidal response of relativistic stars in partially screened scalar-tensor theories

    gr-qc 2025-01 conditional novelty 6.0 of 10

    In DHOST scalar-tensor theories with partial Vainshtein screening, gravitomagnetic tidal Love numbers deviate from general relativity by roughly ten times the parameter alpha_H, with the deviation growing with multipo...

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