2021/01/31 by Edgardo Franzin, Ivica Smolić
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Einstein #General relativity #Geometry #Mathematical physics #Metric (unit) #Physics #Quantum mechanics #Scalar (mathematics) #Scalar field #Schwarzschild metric #Schwarzschild radius #Space time #Spacetime #Theoretical physics #gr-qc #hep-th
paper · pdf · doi:10.1088/1361-6382/abf896
published as Class. Quantum Grav. 38 (2021) 115004 · 17 pages, 1 figure; minor corrections, more refs, accepted in CQG
openalex publication_date 2021/04/15 · arxiv created 2021/04/16 · arxiv updated 2021/05/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.