Bootstrapped Newtonian stars and black holes
Abstract
We study equilibrium configurations of a homogenous ball of matter in a bootstrapped description of gravity which includes a gravitational selfinteraction term beyond the Newtonian coupling. Both matter density and pressure are accounted for as sources of the gravitational potential for test particles. Unlike the general relativistic case, no Buchdahl limit is found and the pressure can in principle support a star of arbitrarily large compactness. By defining the horizon as the location where the escape velocity of test particles equals the speed of light, like in Newtonian gravity, we find a minimum value of the compactness for which this occurs. The solutions for the gravitational potential here found could effectively describe the interior of macroscopic black holes in the quantum theory, as well as predict consequent deviations from general relativity in the strong field regime of very compact objects.
 Publication:

European Physical Journal C
 Pub Date:
 November 2019
 DOI:
 10.1140/epjc/s1005201974103
 arXiv:
 arXiv:1904.06752
 Bibcode:
 2019EPJC...79..894C
 Keywords:

 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 27 pages, 17 figures. Version accepted for publication in EPJ C