Compact objects in f(R, T) gravity with Finch–Skea geometry

Dey, Sagar; Chanda, A.; Paul, Bikash Chandra

doi:10.1140/epjp/s13360-021-01173-w

Cited by 21 publications

(12 citation statements)

References 56 publications

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“…One may see that in our modified TOV (further -MTOV) present extra force F ex , which exists to hold WH stable [13,46], even if stress-energy tensor is not conserved (in considered theories of gravity generally ∇ μ T μν = 0 [29,30,43]). If the wormhole is stable, the MTOV conditions must be satisfied.…”

Section: Wormhole Stability In Modified Theories Of Gravitymentioning

confidence: 88%

On the existence and stability of traversable wormhole solutions in modified theories of gravity

Sokoliuk

Baransky

2021

Eur. Phys. J. C

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We study Morris–Thorne static traversable wormhole solutions in different modified theories of gravity. We focus our study on the quadratic gravity $$f({\mathscr {R}}) = {\mathscr {R}}+a{\mathscr {R}}^2$$ f ( R ) = R + a R 2 , power-law $$f({\mathscr {R}}) = f_0{\mathscr {R}}^n$$ f ( R ) = f 0 R n , log-corrected $$f({\mathscr {R}})={\mathscr {R}}+\alpha {\mathscr {R}}^2+\beta {\mathscr {R}}^2\ln \beta {\mathscr {R}}$$ f ( R ) = R + α R 2 + β R 2 ln β R theories, and finally on the exponential hybrid metric-Palatini gravity $$f(\mathscr {\hat{R}})=\zeta \bigg (1+e^{-\frac{\hat{{\mathscr {R}}}}{\varPhi }}\bigg )$$ f ( R ^ ) = ζ ( 1 + e - R ^ Φ ) . Wormhole fluid near the throat is adopted to be anisotropic, and redshift factor to have a constant value. We solve numerically the Einstein field equations and we derive the suitable shape function for each MOG of our consideration by applying the equation of state $$p_t=\omega \rho $$ p t = ω ρ . Furthermore, we investigate the null energy condition, the weak energy condition, and the strong energy condition with the suitable shape function b(r). The stability of Morris–Thorne traversable wormholes in different modified gravity theories is also analyzed in our paper with a modified Tolman–Oppenheimer–Voklov equation. Besides, we have derived general formulas for the extra force that is present in MTOV due to the non-conserved stress-energy tensor.

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Section: Wormhole Stability In Modified Theories Of Gravitymentioning

confidence: 88%

On the existence and stability of traversable wormhole solutions in modified theories of gravity

Sokoliuk

Baransky

2021

Eur. Phys. J. C

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“…Rej et al [50] examined the possible features of charged SAX J 1808.4-3658 compact star in f T ,  ( )theory. Dey et al [51] employed the Finch-Skea ansatz to study viable anisotropic stellar models in f T ,  ( )theory. Ilyas et al [52] analyzed various physical behaviors of the relativistic charged spheres, including density profile and pressure components.…”

Section: Literature Reviewmentioning

confidence: 99%

Study of viable compact stellar structures in non-Riemannian geometry

Gul,

Sharif,

Arooj

2024

Phys. Scr.

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The main objective of this article is to investigate the viablecompact stellar structures in non-Riemannian geometry, i.e.,$f(\mathbb{Q},\mathbb{T})$ theory, where $\mathbb{Q}$ defines thenon-metricity and $\mathbb{T}$ represents trace of the stress-energytensor. For this purpose, we consider a static spherical spacetimewith anisotropic matter configuration to examine the geometry ofconsidered compact stars. A specific model of this theory is used toderive the explicit expressions of energy density and pressurecomponents that govern the relationship between matter and geometry.The unknown constants in the metric potentials are determined byusing the continuity of interior and exterior spacetimes to examinethe configuration of spherical stellar structures. Physicalparameters such as fluid characteristics, energy constraints andequation of state parameters are analyzed to examine the viabilityof the considered stellar objects. Further, the equilibrium stateand stability of the proposed stellar objects are evaluated usingthe Tolman-Oppenheimer-Volkoff equation, sound speed and adiabaticindex, respectively. The rigorous analysis and satisfaction ofnecessary conditions lead to the conclusion that the stellar objectsstudied in this framework are viable and stable.

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“…Sharif and Ramzan [20] studied the behavior of various physical quantities and stability of distinct CSs in f () theory. Dey et al [21] considered Finch-Skea ansatz to study the viable anisotropic stellar models in f (,  ) theory. Sharif and Gul [22] studied the physical attributes of CSs through Noether symmetry approach in f (,  2 ) theory.…”

Section: Introductionmentioning

confidence: 99%

“…Dey et al. [ 21 ] considered Finch‐Skea ansatz to study the viable anisotropic stellar models in

f(\mathcal {R}, \mathcal {T})

theory. Sharif and Gul [ 22 ] studied the physical attributes of CSs through Noether symmetry approach in

f(\mathcal {R}, \mathcal {T}^{2})

theory.…”

Section: Introductionmentioning

confidence: 99%

Viable and Stable Compact Stellar Structures in f(Q,T)$f(\mathcal {Q},\mathcal {T})$ Theory

Gul,

Sharif,

Arooj

2024

Fortschritte der Physik

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The main objective of this paper is to investigate the impact of gravity on the geometry of anisotropic compact stellar objects, where is non‐metricity and is the trace of the energy‐momentum tensor. In this perspective, the physically viable non‐singular solutions to examine the configuration of static spherically symmetric structures is used. A specific model of this theory to examine various physical quantities in the interior of the proposed compact stars (CSs) is considered. These quantities include fluid parameters, anisotropy, energy constraints, equation of state parameters, mass, compactness, and redshift. The Tolman–Oppenheimer–Volkoff equation is used to examine the equilibrium state of stellar models, while the stability of the proposed CSs is investigated through sound speed and adiabatic index methods. It is found that the proposed CSs are viable and stable in the context of this theory.

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Compact objects in f(R, T) gravity with Finch–Skea geometry

Cited by 21 publications

References 56 publications

On the existence and stability of traversable wormhole solutions in modified theories of gravity

On the existence and stability of traversable wormhole solutions in modified theories of gravity

Study of viable compact stellar structures in non-Riemannian geometry

Viable and Stable Compact Stellar Structures in f(Q,T)$f(\mathcal {Q},\mathcal {T})$ Theory

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