https://doi.org/10.1140/epjc/s10052-019-6585-y
Regular Article - Theoretical Physics
Probing Palatini-type gravity theories through gravitational wave detections via quasinormal modes
1
Department of Physics and Center for Theoretical Sciences, National Taiwan University, Taipei, 10617, Taiwan
2
LeCosPA, National Taiwan University, Taipei, 10617, Taiwan
3
Department of Theoretical Physics, University of the Basque Country UPV/EHU, P.O. Box 644, 48080, Bilbao, Spain
4
IKERBASQUE, Basque Foundation for Science, 48011, Bilbao, Spain
5
Kavli Institute for Particle Astrophysics and Cosmology, SLAC National Accelerator Laboratory, Stanford University, Stanford, CA, 94305, USA
* e-mail: b97202056@gmail.com
Received:
7
December
2018
Accepted:
12
January
2019
Published online:
28
January
2019
The possibility of testing gravity theories with the help of gravitational wave detections has become an interesting arena of recent research. In this paper, we follow this direction by investigating the quasinormal modes (QNMs) of the axial perturbations for charged black holes in the Palatini-type theories of gravity, specifically (1) the Palatini f(R) gravity coupled with Born-Infeld nonlinear electrodynamics and (2) the Eddington-inspired-Born-Infeld gravity (EiBI) coupled with Maxwell electromagnetic fields. The coupled master equations describing perturbations of charged black holes in these theories are obtained with the tetrad formalism. By using the Wentzel-Kramers-Brillouin (WKB) method up to 6th order, we calculate the QNM frequencies of the EiBI charged black holes, the Einstein-Born-Infeld black holes, and the Born-Infeld charged black holes within the Palatini 
gravity. The QNM spectra of these black holes would deviate from those of the Reissner-Nordström black hole. In addition, we study the QNMs in the eikonal limit and find that for the axial perturbations of the EiBI charged black holes, the link between the eikonal QNMs and the unstable null circular orbit around the black hole is violated.
© The Author(s), 2019
