Holography, large scale structure, supermassive black holes, and minimum stellar mass

Abstract

This analysis considers our universe as a closed Friedmann universe, dominated by vacuum energy in the form of a cosmological constant, with cosmological parameters obtained from full mission Planck satellite observations. A few simple assumptions lead to straightforward calculation of general features of large scale structures in the universe and minimum stellar mass as a function of redshift. Those assumptions also generate upper and lower bounds on supermassive black hole mass in relation to total stellar mass of the host galaxy, consistent with observations across four orders of magnitude of black hole mass and five orders of magnitude of galactic stellar mass. The results are based only on fundamental constants and measured cosmological parameters. No arbitrary parameters are involved.

Analysis involving no free parameters accounts for observed relation between supermassive black hole mass and total host galaxy stellar mass over four orders of magnitude of black hole mass and five orders of magnitude of galaxy mass. arXiv admin note: substantial text overlap with arXiv:1009.1629