Transition from inspiral to plunge for braneworld EMRI

Abstract

In the present article, we discuss the late inspiral and then the transition regime to the plunge phase of a secondary, less massive compact object into a more massive braneworld black hole, in the context of an extreme-mass-ratio inspiral. We obtain the approximate expressions for fluxes due to slowly evolving constants of motion, such as the energy and the angular momentum, in the presence of the tidal charge inherited from the higher spacetime dimensions for an extreme-mass-ratio system. These expressions for fluxes are further used to introduce dissipative effects while modeling the inspiral to the plunge phase through the transition regime. Within our setup, we provide a qualitative understanding of how the additional tidal charge present in the braneworld scenario may affect the timescale of the late inspiral to the plunge, in particular, by enhancing the time scale of the transition regime. Finally, we provide an estimate for the tidal charge from the higher dimensions, using the observable aspects of the transition regime from the late inspiral to the plunge by the gravitational wave detectors. 

Prospects of detecting deviations to Kerr geometry with radiation reaction effects in EMRIs

“…Further, omitting O(r −3 ), the above expression with respect to coordinate time can be written in the following form 78,116] for separating out the rest mass energy and considering terms linear order in E and ignoring O(EM/r) with their higher order terms. Following [117],…”

Non-local tails in radiation in odd dimensions

“…Recently, actively developing gravitational-wave astronomy opens up new ways for the experimental study of extra dimensions (for review see, e.g., [14,15]). Extra dimensions can manifest themselves in gravitational-wave signals in the number of ways: as additional polarisations of gravitational waves [16][17][18], tower of massive highfrequency Kaluza-Klein modes of gravitational waves [16,19], additional contributions to the source of gravitational field [20][21][22][23], differences between the propagation of gravitational and counterpart electromagnetic signals [24][25][26][27], leakage of gravitational waves into extra dimensions [28][29][30][31][32], signal modifications due to the tidal charges of black holes [33,34], as well as the modifications of quasi-normal modes [35,36] and tidal deformabilities of black holes and neutron stars [37][38][39]. Also, it is worth noting here another powerful tool to probe extra dimensions -the photographs of black hole shadows [40][41][42][43].…”