Detectability of Gravitational Wave from a population of Inspiralling Black Holes in Milky Way Mass Galaxies

Understand

We estimate the rate of inspiral for a population of stellar mass BHs in the star cluster around the super massive black hole at the center of Milky Way mass galaxies.

• Our approach is based on an orbit averaged Fokker Planck approach.
• This is then followed by a post-processing approach, which incorporates the impact of the angular momentum diffusion and the GW dissipation in the evolution of system.
• We make a sample of 10000 BHs with different initial semi-major and eccentricities with the distribution of $f_c(a)/a$ and $e$, respectively.