Isotropic Buchdahl's relativistic fluid sphere within $f(R,\,T)$ gravity
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2022
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| _version_ | 1866914721283702784 |
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| author | Bhar, Piyali Rej, Pramit |
| author_facet | Bhar, Piyali Rej, Pramit |
| contents | 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 $χ$, graphical representation of the model parameters have been shown to canvass the analytical results more clearly. Interestingly, we have proven that for $χ=0$, 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 $χ$, the numerical values of the different physical variables have been tabulated for the values of the coupling parameter $χ=0,\,0.25,\,0.5,\,0.75,1,\,1.25$. 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_07810 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Isotropic Buchdahl's relativistic fluid sphere within $f(R,\,T)$ gravity Bhar, Piyali Rej, Pramit General Relativity and Quantum Cosmology Solar and Stellar Astrophysics 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 $χ$, graphical representation of the model parameters have been shown to canvass the analytical results more clearly. Interestingly, we have proven that for $χ=0$, 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 $χ$, the numerical values of the different physical variables have been tabulated for the values of the coupling parameter $χ=0,\,0.25,\,0.5,\,0.75,1,\,1.25$. 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. |
| title | Isotropic Buchdahl's relativistic fluid sphere within $f(R,\,T)$ gravity |
| topic | General Relativity and Quantum Cosmology Solar and Stellar Astrophysics |
| url | https://arxiv.org/abs/2212.07810 |