Dynamical evolution of non-minimally coupled scalar field in spherically symmetric de Sitter spacetimes

Fontana, R. D. B. (Aff1, Universidade Federal da Fronteira Sul, Campus Chapecó, CEP 89802-112, Chapecó, SC, Brazil) ; de Oliveira, Jeferson (Aff2, 0000 0001 2322 4953, Instituto de Física, Universidade Federal de Mato Grosso, CEP 78060-900, Cuiabá, MT, Brazil) ; Pavan, A. B. (Aff3, 0000 0000 8992 4656, Instituto de Física e Química, Universidade Federal de Itajubá, CEP 37500-903, Itajubá, MG, Brazil)

14 April 2019

Abstract: We investigate the dynamical behavior of a scalar field non-minimally coupled to Einstein’s tensor and Ricci scalar in geometries of asymptotically de Sitter spacetimes. We show that the quasinormal modes remain unaffected if the scalar field is massless and the black hole is electrically chargeless. In the massive case, the coupling of both parameters produces a region of instability in the spacetime determined by the geometry and field parameters. In the Schwarzschild case, every solution for the equations of motion with ℓ>0 has a range of values of the coupling constant that produces unstable modes. The case ℓ=0 is the most unstable one, with a threshold value for stability in the coupling. For the charged black hole, the existence of a range of instability in η is strongly related to geometry parameters presenting a region of stability independent of the chosen parameter.

Published in: EPJC 79 (2019) 338
Published by: Springer/Società Italiana di Fisica
DOI: 10.1140/epjc/s10052-019-6831-3
License: CC-BY-3.0

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