Anisotropic model of stellar objects in modified f(R) gravity
Kumar R. Maurya S.K. Errehymy A. Myrzakulov K. Umbetova Z. Pathak V.N.
December 2024Elsevier B.V.
Chinese Journal of Physics
2024#921 - 22 pp.
In this paper, we studied anisotropic models to describe compact stellar objects with a spherically symmetric matter distribution using modified f(R) gravity. To accomplish this goal, we examined two distinct models within the f(R) theory of gravity. We investigated the use of the Durgapal and Fuloria analog metric potentials to construct a stellar model by solving the Einstein Field equations. Our analysis includes a discussion of the generalized Darmois-Israel junction condition, crucial for smoothly linking the interior region to the Schwarzschild exterior metric at the stars boundary hypersurface within the framework of f(R) gravity. This junction condition requires a non-zero pressure at the boundary, which is directly related to the non-linear terms present in f(R) gravity. These conditions are often overlooked by many researchers in their exploration of compact stellar models. In our study, we utilized generalized boundary conditions to determine model parameters. Furthermore, we obtained these parameters using observational data from several compact stars, including 4U1538-52, SAX J 1808.4-3658, EXO 1785-248, Cen X-3, 4U1820-30, PSR J1903+327, 4U1608-52, and PSR J1614-2230. This innovative approach allowed us to conduct a comprehensive analysis of models and their physical validity. We performed various physical tests such as anisotropy, equilibrium conditions, stability, energy-density constraints, mass function, compactness, redshift, and adiabatic index to evaluate the feasibility of our models.
Anisotropic , Compact stars , f(R) gravity
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Department of Mathematics and Statistics, Deen Dayal Upadhyaya Gorakhpur University, Gorakhpur, India
Department of Mathematical and Physical Sciences, College of Arts and Sciences, University of Nizwa, P.O. Box 33, Nizwa 616, Oman
Astrophysics Research Centre, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X54001, Durban, 4000, South Africa
Department of General and Theoretical Physics, L.N. Gumilyov Eurasian National University, Astana, 010008, Kazakhstan
Faculty of Mathematical and Statistical Sciences, Shri Ramswaroop Memorial University, Lucknow, India
Department of Mathematics and Statistics
Department of Mathematical and Physical Sciences
Astrophysics Research Centre
Department of General and Theoretical Physics
Faculty of Mathematical and Statistical Sciences
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