Does black-hole growth depend on the cosmic environment?

It is well known that environment affects galaxy evolution, which is broadly related to supermassive black hole (SMBH) growth. We investigate whether SMBH evolution also depends on host-galaxy local (sub-Mpc) and global ($\approx 1-10$ Mpc) environment. We construct the surface-density field (local environment) and cosmic web (global environment) in the COSMOS field at $z=0.3-3.0$. The environments in COSMOS range from the field to clusters ($M_\mathrm{halo} \lesssim 10^{14}\ M_\odot$), covering the environments where ${\approx 99\%}$ of galaxies in the Universe reside. We measure sample-averaged SMBH accretion rate ($\overline{\mathrm{BHAR}}$) from X-ray observations, and study its dependence on overdensity and cosmic-web environment at different redshifts while controlling for galaxy stellar mass ($M_\star$). Our results show that $\overline{\mathrm{BHAR}}$ does not significantly depend on overdensity or cosmic-web environment once $M_\star$ is controlled, indicating that environment-related physical mechanisms (e.g. tidal interaction and ram-pressure stripping) might not significantly affect SMBH growth. We find that $\overline{\mathrm{BHAR}}$ is strongly related to host-galaxy $M_\star$, regardless of environment.