Impact of accretion disk on the gravitational wave profile emitted from binary merger

In the present work, we study the emission of the gravitational wave from the extreme mass ratio inspiral containing an accretion disk around the central compact object. The disk exerts a hydrodynamic drag on the companion black hole. The emitted gravitational wave from such systems may be modified due to the modified motion of the companion by the influence of the hydrodynamic drag of the disk. In the present work, we investigate this issue using full general relativistic formalism and calculate the possible error introduced in the estimation of the mass of the black holes.