https://doi.org/10.1140/epjc/s10052-019-6831-3
Regular Article - Theoretical Physics
Dynamical evolution of non-minimally coupled scalar field in spherically symmetric de Sitter spacetimes
1
Universidade Federal da Fronteira Sul, Campus Chapecó, Chapecó, SC, CEP 89802-112, Brazil
2
Instituto de Física, Universidade Federal de Mato Grosso, Cuiabá, MT, CEP 78060-900, Brazil
3
Instituto de Física e Química, Universidade Federal de Itajubá, Itajubá, MG, CEP 37500-903, Brazil
* e-mail: jeferson@gravitacao.org
Received:
4
December
2018
Accepted:
29
March
2019
Published online:
13
April
2019
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 
has a range of values of the coupling constant that produces unstable modes. The case 
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 
is strongly related to geometry parameters presenting a region of stability independent of the chosen parameter.
© The Author(s), 2019
