In 1981 Wyman classified the solutions of the Einstein-Klein-Gordon equations with static spherically symmetric spacetime metric and vanishing scalar potential. For one of these classes, the scalar field linearly grows with time. We generalize this symmetry noninheriting solution, perturbatively, to a rotating one and extend the static solution exactly to arbitrary spacetime dimensions. Furthermore, we investigate the existence of nonminimally coupled, time-dependent real scalar fields on top of static black holes, and prove a no-hair theorem for stealth scalar fields on the Schwarzschild background.

Stationary spacetimes with time-dependent real scalar fields / Franzin, Edgardo; Smolić, Ivica. - In: CLASSICAL AND QUANTUM GRAVITY. - ISSN 0264-9381. - 38:11(2021). [10.1088/1361-6382/abf896]

Stationary spacetimes with time-dependent real scalar fields

Franzin, Edgardo
;
2021-01-01

Abstract

In 1981 Wyman classified the solutions of the Einstein-Klein-Gordon equations with static spherically symmetric spacetime metric and vanishing scalar potential. For one of these classes, the scalar field linearly grows with time. We generalize this symmetry noninheriting solution, perturbatively, to a rotating one and extend the static solution exactly to arbitrary spacetime dimensions. Furthermore, we investigate the existence of nonminimally coupled, time-dependent real scalar fields on top of static black holes, and prove a no-hair theorem for stealth scalar fields on the Schwarzschild background.
2021
38
11
115004
10.1088/1361-6382/abf896
https://arxiv.org/abs/2101.05816
Franzin, Edgardo; Smolić, Ivica
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/131111
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