Polytropic stars in bootstrapped Newtonian gravity
Abstract
We study selfgravitating stars in the bootstrapped Newtonian picture for polytropic equations of state. We consider stars that span a wide range of compactness values. Both matter density and pressure are sources of the gravitational potential. Numerical solutions show that the density profiles can be well approximated by Gaussian functions. Later we assume Gaussian density profiles to investigate the interplay between the compactness of the source, the width of the Gaussian density profile and the polytropic index. We also dedicate a section to comparing the pressure and density profiles of the bootstrapped Newtonian stars to the corresponding general relativistic solutions. We also point out that no Buchdahl limit is found, which means that the pressure can in principle support a star of arbitrarily large compactness. In fact, we find solutions representing polytropic stars with compactness above the Buchdhal limit.
 Publication:

Physical Review D
 Pub Date:
 November 2020
 DOI:
 10.1103/PhysRevD.102.104058
 arXiv:
 arXiv:2005.09378
 Bibcode:
 2020PhRvD.102j4058C
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 21 pages, 10 figures