Abstract
Black holes across a broad range of masses play a key role in the evolution
of galaxies. The initial seeds of black holes formed at $z 30$ and grew
over cosmic time by gas accretion and mergers. Using observational data for
quasars and theoretical models for the hierarchical assembly of dark matter
halos, we study the relative importance of gas accretion and mergers for black
hole growth, as a function of redshift ($0<z<10$) and black hole mass ($ 10^3
\, M_ødot < M_\bullet < 10^10 \, M_ødot$). We find
that: (i) growth by accretion is dominant in a large fraction of the parameter
space, especially at $M_\bullet > 10^8 \, M_ødot$ and $z>6$; (ii)
growth by mergers is dominant at $M_\bullet < 10^5 \, M_ødot$ and
$z>5.5$, and at $M_\bullet > 10^8 \, M_ødot$ and $z<2$. As the
growth channel has direct implications for the black hole spin (with gas
accretion leading to higher spin values), we test our model against $20$
robust spin measurements available thus far. As expected, the spin tends to
decline towards the merger-dominated regime, thereby supporting our model. The
next generation of X-ray and gravitational wave observatories (e.g. Lynx,
Athena and LISA) will map out populations of black holes up to very high
redshift ($z20)$, covering the parameter space investigated here in almost
its entirety. Their data will be instrumental to providing a clear picture of
how black holes grew across cosmic time.
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