Stationary spacetimes with time-dependent real scalar fields
arXiv:2101.05816 · doi:10.1088/1361-6382/abf896
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.
arXiv comment17 pages, 1 figure; minor corrections, more refs, accepted in CQG
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Cited by in corpus (5)
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- Newman-Janis algorithm's application to regular black hole models
- Thermal stability of stealth and de Sitter spacetimes in scalar-tensor gravity
- Black hole ringdown from physically sensible initial value problem in higher-order scalar-tensor theories
- Generalizations and challenges for the spacetime block-diagonalization