Decoupled anisotropic Buchdahl’s relativistic models in f(
	    R,T
	  ) theory

Naseer, Tayyab; Sharif, M

doi:10.1088/1402-4896/ad1c28

Cited by 16 publications

(3 citation statements)

References 87 publications

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“…It must be acknowledged here that our results regarding models I and II are better than that produced in the context of  [28]. Moreover, our model II is compatible with the anisotropic Buchdahl's [67] as well as Tolman VII solutions [68]. It must be mentioned here that putting ξ = 0 reduces all these results to .…”

Section: Discussionsupporting

confidence: 59%

Extending Finch-Skea isotropic model to anisotropic domain in modified f(, T ) gravity

Naseer,

Sharif

2024

Phys. Scr.

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This paper considers the Finch-Skea isotropic solution and extendsits domain to three different anisotropic interiors by using thegravitational decoupling strategy in the context of$f(\mathbb{R},\mathbb{T})$ gravitational theory. For this, weconsider that a static spherical spacetime is initially coupled withthe perfect matter distribution. We then introduce a Lagrangiancorresponding to a new gravitating source by keeping in mind thatthis new source produces the effect of pressure anisotropy in theparent fluid source. After calculating the field equations for thetotal matter setup, we apply a transformation on the radialcomponent, ultimately providing two different systems of equations.These two sets are solved independently through differentconstraints that lead to some new solutions. Further, we consider anexterior spacetime to calculate three constants engaged in the seedFinch-Skea solution at the spherical interface. The estimated radiusand mass of a star candidate LMC X-4 are utilized to perform thegraphical analysis of the developed models. It is concluded thatonly the first two resulting models are physically relevant in thismodified theory for all the considered parametric choices.

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Section: Discussionsupporting

confidence: 59%

Extending Finch-Skea isotropic model to anisotropic domain in modified f(, T ) gravity

Naseer,

Sharif

2024

Phys. Scr.

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“…Several researchers have proposed anisotropic counterparts of the isotropic Heintzmann and Tolman VII solutions, demonstrating their stability within the specified parameters [34,35]. Sharif and Naseer [36][37][38][39][40] adopted certain spacetimes and determined its stable as well as viable anisotropic extensions. Various spacetimes have been expanded to incorporate their respective anisotropic extensions through the MGD method within modified theories [41][42][43][44][45].…”

Section: Introductionmentioning

confidence: 99%

Analysis of some newly constructed compact models in f(R, T) theory

Feng,

Naseer,

Ashraf

et al. 2024

Phys. Scr.

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In this paper, black hole solutions are developed within the framework of f(R, T) gravity through the minimal gravitational decoupling approach. By introducing a new source in the original isotropic matter distribution, the corresponding ﬁeld equations acquire additional degrees of freedom. Applying the transformation on the radial metric function leads these equations to two distinct sets, each representing the inﬂuence of either the seed or additional source exclusively. In order to formulate the black hole solutions, the seed source is considered to be a vacuum, characterized by the Schwarzschild metric. To derive a viable solution for the second system, constraints are imposed on the metric potentials and energy-momentum tensor of the additional source. Three distinct solutions are graphically analyzed based on varying values of the decoupling parameter. The energy conditions are also plotted to determine the nature of the extra source. Finally, it is concluded that two of our developed models agree with the asymptotic ﬂatness criterion and energy bounds in this modiﬁed theory.

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“…The results indicate that the calculated masses of the considered pulsars aligned closely with the existing values. Furthermore, numerous studies focusing on stellar interiors within this theory have yielded promising and insightful outcomes [21][22][23][24][25][26][27][28][29].…”

Section: Introductionmentioning

confidence: 99%

Anisotropic extensions of isotropic Finch–Skea metric in the charged modified gravity

Naseer,

Sharif

2024

Commun. Theor. Phys.

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In this study, we explore the Finch-Skea perfect fluid solution andextend its domain to three distinct anisotropic interior modelswithin the framework of $f(\mathbb{R},\mathbb{T})$ theory,incorporating the influence of an electromagnetic field. We assume astatic spherical spacetime initially coupled with an isotropicmatter distribution. We then introduce a Lagrangian corresponding toan additional gravitating source, taking into account its role ininducing pressure anisotropy within the original fluid source. Byderiving the field equations for the combined matter setup, we applya radial component transformation, yielding two distinct systems ofequations. Also, we consider a charged exterior spacetime todetermine three constants associated with the Finch-Skea solution atthe boundary. Our findings suggest that, under certain parametricchoices, all three resulting models exhibit physical relevancewithin this modified theory.

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Decoupled anisotropic Buchdahl’s relativistic models in f( R,T ) theory

Cited by 16 publications

References 87 publications

Extending Finch-Skea isotropic model to anisotropic domain in modified f(, T ) gravity

Extending Finch-Skea isotropic model to anisotropic domain in modified f(, T ) gravity

Analysis of some newly constructed compact models in f(R, T) theory

Anisotropic extensions of isotropic Finch–Skea metric in the charged modified gravity

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