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Stability of hairy black holes in shift-symmetric scalar-tensor theories via the effective field theory approach

Journal Article · · Journal of Cosmology and Astroparticle Physics
 [1];  [2];  [3];  [3]
  1. Univ. of Pennsylvania, Philadelphia, PA (United States); Univ. of Pennsylvania, Philadelphia, PA (United States)
  2. Kobe Univ. (Japan)
  3. Univ. of Pennsylvania, Philadelphia, PA (United States)
+ Show Author Affiliations
Shift-symmetric Horndeski theories admit an interesting class of Schwarzschild-de Sitter black hole solutions exhibiting time-dependent scalar hair. The properties of these solutions may be studied via a bottom-up effective field theory (EFT) based on the background symmetries. This is in part possible by making use of a convenient coordinate choice — Lemaître-type coordinates — in which the profile of the Horndeski scalar field is linear in the relevant time coordinate. We construct this EFT, and use it to understand the stability of hairy black holes in shift-symmetric Horndeski theories, providing a set of constraints that the otherwise-free functions appearing in the Horndeski Lagrangian must satisfy in order to admit stable black hole solutions. The EFT is analyzed in the decoupling limit to understand potential sources of instability. Further, we also perform a complete analysis of the EFT with odd-parity linear perturbations around general spherically symmetric space-time.
Research Organization:
Univ. of Pennsylvania, Philadelphia, PA (United States)
Sponsoring Organization:
National Aeronautics and Space Administration (NASA); USDOE Office of Science (SC), High Energy Physics (HEP)
Grant/Contract Number:
SC0013528
OSTI ID:
2420282
Journal Information:
Journal of Cosmology and Astroparticle Physics, Journal Name: Journal of Cosmology and Astroparticle Physics Journal Issue: 04 Vol. 2023; ISSN 1475-7516
Publisher:
Institute of Physics (IOP)Copyright Statement
Country of Publication:
United States
Language:
English

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79 ASTRONOMY AND ASTROPHYSICS