Speaker
Description
The general theory of relativity (GR) states that black holes can possess three hairs, namely
mass, charge, and angular momentum. Nevertheless, modifications to GR have the potential
to alter the spacetime geometry by introducing additional hairs. In light of a potential solution
to the so-called hierarchy problem in the standard model of particle physics, GR may be
modified through the addition of an extra warped spatial dimension in the theory. Such a
modified theory of gravity s yield intriguing consequences for various aspects of black holes.
Therefore, we have conducted an investigation into massive scalar perturbations of
four-dimensional Kerr-like black holes, incorporating an additional property, the tidal charge,
within the Randall-Sundrum braneworld framework. The tidal charge of the black hole
contains information pertaining to the extra spatial dimension in the braneworld model.
These black hole spacetimes are also noteworthy because they permit the black hole's
rotation parameter to exceed unity, a circumstance forbidden by the general theory of
relativity. Consequently, they offer valuable insights into exploring the repercussions of
modifications to Einstein's theory through future observations. Our approach involves the
numerical solution of the perturbed field equations using the continued fractions method to
ascertain the quasi-normal mode spectra of the braneworld black hole. We also investigate
the existence of quasibound states and, consequently, the superradiant stability of the
spacetime when perturbed by a massive scalar field. In comparison to four-dimensional
black holes, we have detected distinctive signatures of the tidal charge and the rotation
parameter, which manifest as signals of the extra dimension in both the quasinormal modes
and the quasibound states. Furthermore, we will engage in a discussion regarding the
physical implications of our findings.
| Sunilsinghbohra87@gmail.com | |
| Affiliation | Phd Student |
