Abstract
In this work, we investigate the structure and properties of neutron stars in R^2 gravity using two approaches, viz: the perturbative and non-perturbative methods. For this purpose, we consider NS with several nucleonic, as well as strange EoS generated in the framework of relativistic mean field models. The strange particles in the core of NS are in the form of Lambda hyperons and quarks, in addition to the nucleons and leptons. In both the approaches, we obtain mass–radius relation for a wide range of values of the extra degree of freedom parameter a arising due to modification of gravity at large scales. The mass–radius relation of the chosen equation of states lies well within the observational limit in the case of GR. We identify the changes in the property of neutron star in the background of f(R) gravity, and compare the results in both the methods. We also identify the best suited method to study the modified gravity using the astrophysical observations.
Highlights
Tion curves of galaxies, the formation of large-scale structure via gravitational instability
They could be motivated by phenomenological considerations such as f (R) theories of gravity, where Einstein–Hilbert action that describes General theory of Relativity (GR) is modified which in turn leads to the scalar tensor theories [7]
Majority of these models have undergone the solar system tests where the gravitational field is substantially weak and has been subject to numerous experimental tests, which confirms the accuracy of GR on the weak gravitational background
Summary
Though these modifications are well motivated and consistent, the overabundance of ideas and possibilities has led to the lack of one compelling theory which could describe gravity. To be a viable model of gravity, any largescale modification of gravity must reconcile with the local physics constraints by undergoing the solar system tests and laboratory tests. Majority of these models have undergone the solar system tests where the gravitational field is substantially weak and has been subject to numerous experimental tests, which confirms the accuracy of GR on the weak gravitational background. Any consistent theory of gravity, classical or modified, should be applicable
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