Neutron star masses in R2-gravity

We address the issue of the existence of inequivalent definitions of gravitational mass in R2-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...

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Bibliographic Details
Published inPHYSICS OF THE DARK UNIVERSE Vol. 27
Main Authors Sbisà, Fulvio, Baqui, Pedro O., Miranda, Tays, Jorás, Sergio E., Piattella, Oliver F.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.01.2020
Subjects
f(R) gravity
Modified gravity
Neutron stars
Modified gravity
Neutron stars
f(R) gravity
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Summary:We address the issue of the existence of inequivalent definitions of gravitational mass in R2-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 R2-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.
ISSN:2212-6864
DOI:10.1016/j.dark.2019.100411