M. F. Shamir, I. Fayyaz, “Effect of $f(R)$-gravity models on compact stars”, TMF, 202:1 (2020), 126–142; Theoret. and Math. Phys., 202:1 (2020), 112

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Teoreticheskaya i Matematicheskaya Fizika, 2020, Volume 202, Number 1, Pages 126–142
DOI: https://doi.org/10.4213/tmf9726 (Mi tmf9726)

This article is cited in 16 scientific papers (total in 16 papers)

Effect of

$f(R)$ -gravity models on compact stars

M. F. Shamir, I. Fayyaz

Department of Sciences and Humanities, National University of Computer and Emerging Sciences, Lahore, Pakistan

Full-text PDF (1018 kB) Citations (16)

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DOI: https://doi.org/10.4213/tmf9726

Abstract: We study the possibility of forming anisotropic compact stars in the framework of

$f(R)$ -modified gravity in a static spherically symmetric space–time. We find the unknown coefficients involved in the metric using masses and radii of the compact stars 4U 1820-30, Cen X-3, EXO 1785-248, and LMC X-4. We obtain the hydrostatic equilibrium equation for different forces and use the generalized Tolman–Oppenheimer–Volkoff equation to analyze the behavior of stars. Moreover, we verify the regularity conditions, anisotropic behavior, energy conditions, and stability of the compact stars. We use the effective energy–momentum tensor in

$f(R)$ gravity for the analysis. We show that in the framework of

$f(R)$ gravity theory, these compact stars have physically acceptable patterns. Our results here also agree with those in general relativity, which is a special case of

$f(R)$ gravity.

Keywords: anisotropic fluid,

$f(R)$ gravity, compact star.

Received: 25.03.2019
Revised: 08.08.2019

English version:
Theoretical and Mathematical Physics, 2020, Volume 202, Issue 1, Pages 112–125
DOI: https://doi.org/10.1134/S0040577920010109

Bibliographic databases:

Document Type: Article

PACS: 04.50.Kd, 98.80.-k, 98.80.Es.

Language: Russian

Citation: M. F. Shamir, I. Fayyaz, “Effect of

$f(R)$ -gravity models on compact stars”, TMF, 202:1 (2020), 126–142; Theoret. and Math. Phys., 202:1 (2020), 112–125

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/tmf9726

https://doi.org/10.4213/tmf9726

https://www.mathnet.ru/eng/tmf/v202/i1/p126

This publication is cited in the following 16 articles:

Umber Sheikh, Sarfraz Ali, Muhammad Waseem, Muhammad Zahid, “String fluid collapse and horizon formation in f(R) gravity: A toy model analysis”, Mod. Phys. Lett. A, 2025
A. Alkaoud, M. A. Bakry, A. Eid, M. M. Khader, “LRS Bianchi type I with anisotropic bulk viscosity matter cosmological typical and quadratic deceleration parameter in $f(R,\sum ,T)$ gravity”, Indian J Phys, 2024
Rabia Saleem, M. Israr Aslam, Sobia Sadiq, M. Taimoor Murtaza, “Stability of charged anisotropic thin shell gravastars admitting conformal motion in f(R,T) gravity”, Annals of Physics, 465 (2024), 169659
Adnan Malik, Tayyaba Naz, Ummay Marwa, Piyali Bhar, Akram Ali, Z. Yousaf, “Discussion of singularity-free embedding stellar structures in f(R) gravity utilizing scalar potential”, Int. J. Geom. Methods Mod. Phys., 21:11 (2024)
M. Sharif, T. Naseer, “Cosmological solutions through gravitational decoupling in $f({\mathcal {R}},{\mathcal {T}},{\mathcal {R}}_{\textrm{ab}}{\mathcal {T}}^{\textrm{ab}})$ gravity”, Gen. Relativ. Gravit., 55:8 (2023), 87
M. Vazquez-Nambo, V. M. Yépez-García, J. O. T. Vazquez, E. A. Campuzano, N. C. Muñoz, “An anisotropic interior solution of Einstein equations”, Mod. Phys. Lett. A, 38:10n11 (2023), 2350072
U. Sheikh, Y. Aziz, M. Z. Bhatti, R. Pincak, “On evolution of compact stars from string fluid in Rastall gravity”, Int. J. Geom. Methods Mod. Phys., 20:04 (2023), 2350058
U. Sheikh, S. A. Ishtiaq, “Effect of electric field on string-oriented perfect fluid collapse in $f (R)$ gravity”, Int. J. Geom. Methods Mod. Phys., 20:03 (2023), 2350038
A. Malik, I. Ahmad, “A study of anisotropic compact stars in $f (R, \phi, X)$ theory of gravity”, Int. J. Geom. Methods Mod. Phys., 19:02 (2022), 2250028
M. Sharif, T. Naseer, “Influence of charge on extended decoupled anisotropic solutions in $f ({\mathcal {R,T}},{\mathcal {R}}_{\lambda\, \xi }{\mathcal {T}}^{\lambda\, \xi })$ gravity”, Indian J. Phys., 96:14 (2022), 4373
M. Sharif, “Extended decoupled anisotropic solutions in $f(\mathscr{R, T},\mathscr{R}_{\gamma\,\chi}, \mathscr{T}^{\gamma\,\chi})$ gravity”, Int. J. Mod. Phys. D, 31:11 (2022)
A. Malik, A. Ashraf, U. Naqvi, Zh. Zhang, “Anisotropic spheres via embedding approach in $f(R)$ gravity”, Int. J. Geom. Methods Mod. Phys., 19:05 (2022)
R. Saleem, M. Zubair, F. Kramat, M. Israr Aslam, S. Sadiq, “Anisotropic stellar solutions in torsion-trace gravity under Karmarkar condition”, Int. J. Geom. Methods Mod. Phys., 19:05 (2022)
H. Nazar, G. Abbas, “Model of charged anisotropic strange stars in minimally coupled $f(R)$ gravity”, Adv. Astron., 2021 (2021), 6698208
L. Baskey, Sh. Das, F. Rahaman, “An analytical anisotropic compact stellar model of embedding class i”, Mod. Phys. Lett. A, 36:5 (2021), 2150028
E. Barrientos, S. Mendoza, P. Padilla, “Extending Friedmann equations using fractional derivatives using a last step modification technique: the case of a matter dominated accelerated expanding universe”, Symmetry-Basel, 13:2 (2021), 174

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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