Neutron star masses in $R^{2}$-gravity
Abstract
We address the issue of the existence of inequivalent definitions of gravitational mass in -gravity. We present several definitions of gravitational mass, and discuss the formal relations between them. We then consider the concrete case of a static and spherically symmetric neutron star, and solve numerically the equations of motion for several values of the free parameter of the model. We compare the features of the mass-radius relations obtained for each definition of gravitational mass, and we comment on their dependence on the free parameter. We then argue that -gravity is a valuable proxy to discuss the existence of inequivalent definitions of gravitational mass in a generic modified gravity theory, and present some comments on the general case.
Keywords
Cite
@article{arxiv.1907.08714,
title = {Neutron star masses in $R^{2}$-gravity},
author = {Fulvio Sbisà and Pedro O. Baqui and Tays Miranda and Sergio E. Jorás and Oliver F. Piattella},
journal= {arXiv preprint arXiv:1907.08714},
year = {2019}
}
Comments
26 pages, 15 figures, pdfLatex, one subsection added and other minor changes, version accepted for publication