Isotropic Buchdahl's relativistic fluid sphere within $f(R,T)$ gravity

Abstract

The aim of the research is to look into a new solution for isotropic compact stars in the context of the $f(R,T)$ theory of gravity. We used the Buchdahl [H.A. Buchdahl, Phys. Rev. {\bf 116} (1959) 1027] metric potentials as input to deal with the field equations in the $f(R,T)$ framework. For different values of the coupling parameter $\chi$, graphical representation of the model parameters have been shown to canvass the analytical results more clearly. Interestingly, we have proven that for $\chi =0$, the standard General Relativity (GR) results can be recovered. A comparison of our obtained solutions with the GR results is also discussed. To study the effect of the coupling parameter $\chi$, the numerical values of the different physical variables have been tabulated for the values of the coupling parameter $\chi =0,0.25,0.5,0.75,1,1.25$. We used the compact stars candidate LMC X-4 with mass$=(1.04\pm 0.09)M_{\odot }$; Radius $=8.301_{-0.2}^{+0.2}$ km. respectively, for graphical analysis. To determine the physical acceptability of the model, we looked into the necessary physical properties such as energy conditions, causality, hydrostatic equilibrium, and pressure-density ratio etc. and found that our system satisfies all of these criteria, indicating that the model is physically reasonable.

15 Pages, 9 Figures ; Accepted for publication in New Astronomy on 14.12.2022 (Manuscript Number: NEWAST-D-22-00280R1). arXiv admin note: text overlap with arXiv:2112.07581

References in corpus (8)

• f(R,T) gravity
• Bounds on the basic physical parameters for anisotropic compact general relativistic objects
• Cosmological solutions from Induced Matter Model applied to 5D f(R,T) gravity and the shrinking of the extra coordinate
• Slow-roll inflation in f(R,T) gravity and a modified Starobinsky-like inflationary model
• Charged Gravastars with Conformal Motion in f(R,T) Gravity
• Inflation in mimetic $f(R,T)$ gravity
• Maximum Force for Black Holes and Buchdahl Stars
• Universality of the Buchdahl sphere

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• Relativistic isotropic stellar model in $f(R,T)$ gravity with Durgapal- IV Metric
• Dynamical reconstruction of the $\Lambda$CDM model in scalar-tensor $f(R,T)$ gravity