Abstract
We examine a loop quantum gravity (LQG) inspired rotating black hole, treating it as a central supermassive black hole (SMBH) in an extreme mass-ratio inspiral (EMRI) system, where an inspiralling object exhibits eccentric motion around the SMBH. With the orbital dynamics, we derive analytical expressions for the rate of change of orbital energy and angular momentum, as well as orbital evolution, and subsequently generate the gravitational waveforms. To evaluate the difference between EMR waveforms emitted from the Kerr black hole and a spinning black hole in LQG, we compute the dephasing and mismatch using the Laser Interferometer Space Antenna (LISA) observation. Our result indicates that LISA can distinguish the modified effect of LQG with a parameter as small as 2 × 10^{-6}. The constraint on a parameter in LQG using the Fisher information matrix can be obtained within a fraction error of 10^{-6}.
Shailesh Kumar
Postdoctoral Fellow
I am currently working as a Post-Docotral Fellow (N-PDF) at the Indian Institute of Technology, Gandhinagar, India. My research interest encompasses various aspects of gravitation theory, broadly black holes and gravitational waves. I am currently working on projects related to black hole perturbation techniques, extreme mass-ratio inspirals (EMRIs), tidal effects and post-Newtonian framework. My work during the PhD provides an understanding of the gravitational memory effect emerging near the horizon of black holes and its connection with asymptotic symmetries. I am also exploring the possibilities to have observational signatures of such symmetries.