Abstract
One of the primary research aims of the Laser Interferometer Space Antenna (LISA) mission is to comprehensively map the Kerr spacetime, a fundamental pursuit in the realm of general relativity. To achieve this goal, it is essential to develop precise tools capable of discerning any deviations from the Kerr geometry. Extreme mass-ratio inspirals (EMRIs) stand out as particularly promising sources for probing the spacetime metric, offering profound insights into gravitational phenomena. In this direction, we analyze a deformed Kerr geometry, being the central source of an EMRI system, with an inspiralling object that exhibits eccentric equatorial motion. We conduct a leading-order post-Newtonian analysis and examine the deviations in gravitational wave flux and phase with their leading-order contributions. Our findings evaluate the detectability of these deviations through gravitational wave dephasing and mismatch, highlighting the pivotal role of LISA observations in advancing our understanding of spacetime geometry.
Shailesh Kumar
Postdoctoral Fellow
I am currently working as a Post-Doctoral Fellow at IIT Kharagpur, India. My research interests broadly lie in the field of various aspects of gravitation theory, with a particular focus on black holes and gravitational waves (GWs). My current research encompasses black hole perturbation techniques, extreme mass-ratio inspirals (EMRIs), gravitational memory, tidal effects and post-Newtonian framework.