Reconstructing the massive black hole cosmic history through gravitational waves

Abstract

The massive black holes we observe in galaxies today are the natural end-product of a complex evolutionary path, in which black holes seeded in proto-galaxies at high redshift grow through cosmic history via a sequence of mergers and accretion episodes. Electromagnetic observations probe a small subset of the population of massive black holes (namely, those that are active or those that are very close to us), but planned space-based gravitational-wave observatories such as the Laser Interferometer Space Antenna (LISA) can measure the parameters of ``electromagnetically invisible'' massive black holes out to high redshift. In this paper we introduce a Bayesian framework to analyze the information that can be gathered from a set of such measurements. Our goal is to connect a set of massive black hole binary merger observations to the underlying model of massive black hole formation. In other words, given a set of observed massive black hole coalescences, we assess what information can be extracted about the underlying massive black hole population model. For concreteness we consider ten specific models of massive black hole formation, chosen to probe four important (and largely unconstrained) aspects of the input physics used in structure formation simulations: seed formation, metallicity ``feedback'', accretion efficiency and accretion geometry. For the first time we allow for the possibility of ``model mixing'', by drawing the observed population from some combination of the ``pure'' models that have been simulated. A Bayesian analysis allows us to recover a posterior probability distribution for the ``mixing parameters'' that characterize the fractions of each model represented in the observed distribution. Our work shows that LISA has enormous potential to probe the underlying physics of structure formation.

24 pages, 16 figures, submitted to Phys. Rev. D

References in corpus (13)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Formation of Supermassive Black Holes by Direct Collapse in Pregalactic Halos
• Use and Abuse of the Fisher Information Matrix in the Assessment of Gravitational-Wave Parameter-Estimation Prospects
• Direct cosmological simulations of the growth of black holes and galaxies
• Supermassive black hole formation during the assembly of pre-galactic discs
• Inspiral, merger and ringdown of unequal mass black hole binaries: a multipolar analysis
• Supermassive black hole binaries in gaseous and stellar circumnuclear discs: orbital dynamics and gas accretion
• Resolving the Formation of Protogalaxies. II. Central Gravitational Collapse
• The imprint of massive black hole formation models on the LISA data stream
• Quasistars: Accreting black holes inside massive envelopes
• Black Hole Growth in Hierarchical Galaxy Formation
• Do Mergers Spin up Dark Matter Halos?
• Resolving Gas Dynamics in the Circumnuclear Region of a Disk Galaxy in a Cosmological Simulation