2018/08/31 by R. A. Konoplya, Zdeněk Stuchlík, Z. Stuchlík +1
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Classical mechanics #Coupling (piping) #Field (mathematics) #Geometry #Instability #Mathematical physics #Physics #Pulsars and Gravitational Waves Research #Quantum electrodynamics #Quantum mechanics #Scalar (mathematics) #Scalar field #WKB approximation #gr-qc
paper · pdf · doi:10.1103/physrevd.98.104033
published as Phys. Rev. D 98, 104033 (2018) · 8 pages, 4 figures
openalex publication_date 2018/11/21 · arxiv created 2018/11/22 · arxiv updated 2018/11/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Here we show that the phenomenon of arbitrarily long-lived quasinormal modes (called quasiresonances) of a massive scalar field in the vicinity of a black hole is not an artifact of the test field approximation, but takes place also when the (derivative) coupling of a scalar field with the Einstein tensor is taken into consideration. We observe that at large coupling and high multipole numbers, the growing modes appear in the spectrum, which are responsible for the eikonal instability of the field. For small coupling, when the configuration is stable, there appear the purely imaginary quasinormal modes which are nonperturbative in the coupling constant. At the sufficiently small coupling the nonminimal scalar field is stable and the asymptotic late-time tails are not affected by the coupling term. The accurate calculations of quasinormal frequencies for a massive scalar field with the derivative coupling in the Reissner-Nordstr"om black-hole background are performed with the help of the Frobenius method, time-domain integration and WKB expansion.