Probing the Tidal Deformability of the Central Object in an Extreme Mass Ratio Inspiral with Analytic Kludge Waveforms

Understand

We develop approximate ``analytic-kludge" waveforms to describe the inspiral of a stellar-mass compact object into a supermassive compact object in an extreme mass ratio inspiral (EMRI) scenario.

• The deformability of the supermassive compact object is characterized by a dimensionless quantity called the tidal Love number (TLN).
• Our analysis shows that, up to the leading order of the mass ratio, the conservative dynamics of the EMRI are not affected by tidal interaction, and the tidal effect is only present in the induced quadrupole moment.
• We calculate the energy and angular momentum fluxes and obtain leading order corrections to the orbital evolution equations.