Gravitational-wave limits from pulsar timing constrain supermassive black hole evolution

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Shannon, R. M.
Ravi, V.
Coles, W. A.
Hobbs, G.
Keith, M. J.
Manchester, R. N.
Wyithe, J. S.B.
Bailes, M.
Bhat, N. D.R.
Burke-Spolaor, S.

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The formation and growth processes of supermassive black holes (SMBHs) are not well constrained. SMBH population models, however, provide specific predictions for the properties of the gravitational-wave background (GWB) from binary SMBHs in merging galaxies throughout the universe. Using observations from the Parkes Pulsar Timing Array, we constrain the fractional GWB energy density (ΩGW) with 95% confidence to be Ω GW(H0/73 kilometers per second per megaparsec)2 < 1.3 x 10-9 (where H0 is the Hubble constant) at a frequency of 2.8 nanohertz, which is approximately a factor of 6 more stringent than previous limits. We compare our limit to models of the SMBH population and find inconsistencies at confidence levels between 46 and 91%. For example, the standard galaxy formation model implemented in the Millennium Simulation Project is inconsistent with our limit with 50% probability.

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