Noether's stars in f (R) gravity
Abstract
The Noether Symmetry Approach can be used to construct spherically symmetric solutions in f (R) gravity. Specifically, the Noether conserved quantity is related to the gravitational mass and a gravitational radius that reduces to the Schwarzschild radius in the limit f (R) → R. We show that it is possible to construct the M R relation for neutron stars depending on the Noether conserved quantity and the associated gravitational radius. This approach enables the recovery of extreme massive stars that could not be stable in the standard TolmanOppenheimerVolkoff based on General Relativity. Examples are given for some power law f (R) gravity models.
 Publication:

Physics Letters B
 Pub Date:
 May 2018
 DOI:
 10.1016/j.physletb.2018.03.001
 arXiv:
 arXiv:1802.09073
 Bibcode:
 2018PhLB..780..205D
 Keywords:

 Modified gravity;
 Noether symmetries;
 Stellar structures;
 General Relativity and Quantum Cosmology
 EPrint:
 7 pages, 4 figures, accepted for publication in Physics Letter B