Probing the growth of supermassive black holes at z>6 with LOFAR

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HII regions surrounding supermassive black holes in an otherwise neutral intergalactic medium are the most promising sources for detection by future 21cm experiments like LOFAR. We have made predictions for the size distribution of such HII regions using several physically motivated models which span a wide range of possible high redshift black hole growth histories. We demonstrate that the number of sources expected to be detectable by LOFAR depends very sensitively on the rate of black hole growth at high redshift, as well as the ionisation state of the IGM and the decoupling of the spin temperature of the neutral hydrogen from the cosmic microwave background temperature. We find that the detection of an isolated HII region may prove elusive if reionisation completed late and/or the black hole population at z=6 has evolved rapidly. The most optimistic predictions emerge for a model in which the supermassive black holes at z>6 have grown slowly. In this scenario HII regions may be detectable out to z>10.

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