Abstract
The fundamental process of detecting and examining the polarization modes of gravitational waves plays a pivotal role in enhancing our grasp on the precise mechanisms behind their generation. A thorough investigation is essential for delving deeper into the essence of gravitational waves and rigorously evaluating and validating the range of modified gravity theories. In this line of interest, a general description of black holes in theories beyond general relativity can serve a meaningful purpose where distinct deviation parameters can be mapped to solutions representing distinct theories. Employing a refined version of the deformed Kerr geometry, which is free from pathological behaviours such as unphysical divergences in the metric, we explore an extreme mass-ratio inspiral system, wherein a stellar-mass object perturbs a supermassive black hole. We compute the effects of deformation parameters on gravitational wave fluxes, orbital evolution and phase dynamics with leading-order post-Newtonian corrections. With the waveform analysis, we assess the plausibility of detecting deviations from general relativity through observations facilitated by the Laser Interferometer Space Antenna (LISA), simultaneously constraining the extent of these deviations. Therefore, this analysis provides an understanding while highlighting the essential role of observations in advancing gravitational phenomena beyond general relativity.
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.