2018/04/30 by Lavinia Heisenberg, Ryotaro Kase, Shinji Tsujikawa
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Cosmology and Gravitation Theories #Geometry #Mathematical physics #Mathematics #Parity (physics) #Particle physics #Physics #Pulsars and Gravitational Waves Research #Pure mathematics #Quartic function #Scalar (mathematics) #astro-ph.CO #gr-qc #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.97.124043
published as Phys. Rev. D 97, 124043 (2018) · 15 pages, 3 figures
openalex created_date 2018/04/13 · openalex publication_date 2018/06/18 · arxiv created 2018/06/22 · arxiv updated 2018/06/27 · openalex updated_date 2026/08/05
In scalar-vector-tensor theories with U(1) gauge invariance, it was recently shown that there exists a new type of hairy black hole (BH) solutions induced by a cubic-order scalar-vector interaction. In this paper, we derive conditions for the absence of ghosts and Laplacian instabilities against odd-parity perturbations on a static and spherically symmetric background for most general U(1) gauge-invariant scalar-vector-tensor theories with second-order equations of motion. We apply those conditions to hairy BH solutions arising from the cubic-order coupling and show that the odd-parity stability in the gravity sector is always ensured outside the event horizon with the speed of gravity equivalent to that of light. We also study the case in which quartic-order interactions are present in addition to the cubic coupling and obtain conditions under which black holes are stable against odd-parity perturbations.