Abstract
The realistic compact star models are considered in [Formula: see text] gravity. The main result is that simple modified gravity can be consistent with current observational mass limit of neutron stars, with current data on their masses and radii; also, it simplifies solution of the hyperon problem. The effect of strong magnetic field in [Formula: see text]-gravity is also investigated. The existence of more compact (in comparison with General Relativity) stars with large magnetic fields in central regions is possible. In fact the second branch of stability appears.
Highlights
In frames of General Relativity one needs to include into consideration the so called “dark energy” for explaining this phenomena
Modified gravity may be consistent with current constraints on the maximum neutron star mass limit and on the data on neutron star masses and radii, and it may simplify the solution of hyperon problem in superdense matter
For large densities and/or magnetic fields, considerable effects can be induced on equation of state (EoS) and the modified gravity effects can appear
Summary
Recent observations lead to conclusion that our Universe expands with acceleration.[1,2,3] In frames of General Relativity one needs to include into consideration the so called “dark energy” for explaining this phenomena. Astashenok between observed value of vacuum energy and the one predicted by any quantum gravity (the puzzle of cosmological constant[6]) One may consider these contradictions as indication that General Relativity cannot describe the Universe at cosmological level it is well tested on Solar System scales. One can obtain some new phenomena in stellar astrophysics which cannot be described by Einstein Gravity Their possible observational evidences could be in favor of modified gravity.[13,14]. The action for gravitational field and matter is written for f (R) gravity as (G = 1 and c = 1). The resulting equations for metric functions λand ψcoincide with ordinary TOV equations in which energy density and pressure of scalar field φ are included (tildes are omitted for simplicity): 1d r2 dr r. The parameters γ1 and γ2 define the rapidity and sharpness of increasing magnetic field with increasing baryon density n
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