| Abstract : | The last decade has marked the beginning of multi-messenger astronomy due to the advent of gravitational waves (GW) astronomy as a pioneering tool for testing general relativity and the presence of various compact objects. After detecting dozens of binary merger events using the Laser Interferometer Gravitational-Wave Observatory (LIGO), we are now moving towards planning for the space-based GW detectors such as Laser Interferometer Space Antenna (LISA). LISA will be able to detect GW signals from extreme mass ratio inspirals (EMRIs) of massive compact objects and stellar mass/intermediate mass compact objects. The massive compact objects can be formed due to homogenous/inhomogenous collapse of dust-like matter. It is well known that the homogenous collapse will form black holes. However, the inhomogeneous collapse can lead to the formation of a singularity that is causally connected with other spacetime points making the singularity visible. As of now, there have been active debates on their existence and detecting these provide a strong statement. One of the well-known spacetime models that support the existence of a naked singularity is the Joshi-Malafarina-Narayan-1 spacetime. Naked singularities can be studied using their shadow and gravitational waves from their binaries would provide an opportunity for multi-messenger astronomy. In our study, we consider an EMRI in the Joshi-Malafarina-Narayan-1 (JMN-1) spacetime, with the naked singularity as the primary massive object of the EMRI. The mass distribution around the naked singularity affects the dynamics and the radiation from the EMRI. We find the weak field region where the Post-Newtonian approach is valid. We then report the 1PN corrected dynamical quantities of the secondary object inspiraling around the massive naked singularity. We also discuss the average gravitational radiation rate. Using our results to study the possible LISA detections, one can comment on the nature of the environment of the EMRIs. |
