Scalar perturbations of nonsingular nonrotating black holes in conformal gravity
Abstract
We study scalar and electromagnetic perturbations of a family of nonsingular nonrotating black hole spacetimes that are solutions in a large class of conformally invariant theories of gravity. The effective potential for scalar perturbations depends on the exact form of the scaling factor. Electromagnetic perturbations do not feel the scaling factor, and the corresponding quasinormal mode spectrum is the same as in the Schwarzschild metric. We find that these black hole metrics are stable under scalar and electromagnetic perturbations. Assuming that the quasinormal mode spectrum for scalar perturbations is not too different from that for gravitational perturbations, we can expect that the calculation of the quasinormal mode spectrum and the observation with gravitational wave detectors of quasinormal modes from astrophysical black holes can constrain the scaling factor and test these solutions.
 Publication:

Physical Review D
 Pub Date:
 September 2017
 DOI:
 10.1103/PhysRevD.96.064028
 arXiv:
 arXiv:1705.03654
 Bibcode:
 2017PhRvD..96f4028T
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 10 pages, 5 figures, 3 tables