Anisotropic spherical solutions through extended gravitational decoupling approach

Sharif, M.; Ama-Tul-Mughani, Qanitah

doi:10.1016/j.aop.2020.168122

Cited by 58 publications

(32 citation statements)

References 26 publications

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“…Furthermore, the application of gravitational decoupling by MGD includes the solutions of a variety of problems which are discussed in [32]- [51], however the extended version was developed in [52]. Sharif and Ama-Tul-Mughani [53] employed extended version of geometric deformation decoupling method and developed the solution for anisotropic static sphere. Furthermore, this method has been used to develop new black hole solutions [54,55], and some other cosmological applications can be found in [56]- [60].…”

Section: Introductionmentioning

confidence: 99%

An anisotropic version of Tolman VII solution in f(R, T) gravity via gravitational decoupling MGD approach

Azmat

Zubair

2021

Eur. Phys. J. Plus

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In this work, we have adopted gravitational decoupling by Minimal Geometric Deformation (MGD) approach and have developed an anisotropic version of well-known Tolman VII isotropic solution in the framework of f (R, T ) gravity, where R is Ricci scalar and T is trace of energy momentum tensor. The set of field equations has been developed with respect to total energy momentum tensor, which combines effective energy momentum tensor in f (R, T ) gravity and additional source φij. Following MGD approach, the set of field equations has been separated into two sections. One section represents f (R, T ) field equations, while the other is related to the source φij. The matching conditions for inner and outer geometry have also been discussed and an anisotropic solution has been developed using mimic constraint for radial pressure. In order to check viability of the solution, we have considered observation data of three different compact star models, named PSR J1614-2230, PSR 1937+21 and SAX J1808.4-3658 and have discussed thermodynamical properties analytically and graphically. The energy conditions are found to be satisfied for the three compact stars. The stability analysis has been presented through causality condition and Herrera's cracking concept, which ensures physical acceptability of the solution.

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Section: Introductionmentioning

confidence: 99%

An anisotropic version of Tolman VII solution in f(R, T) gravity via gravitational decoupling MGD approach

Azmat

Zubair

2021

Eur. Phys. J. Plus

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“…The Einstein-Klein-Gordon system has the MGD metric (10) as solutions, as long as stationary scalar fields φ(r, t) = e −iωt Φ(r ) (63) are constrained to the field equations (58,59) and (62), that can be rewritten as the coupled system…”

Section: Mgd-decoupling Methodsmentioning

confidence: 99%

“…[31,32]. The MGD-decoupling has been also scrutinized and applied in diverse frameworks [33][34][35][36][37][38][39][40][41][42][43], also enclosing the analysis and scrutiny of recently observed anisotropic stars [44][45][46][47][48][49][50][51][52][53][54][55][56][57][58][59]. Lower dimensional gravitational decoupling models were reported in Refs.…”

Section: Introductionmentioning

confidence: 99%

Gravitational decoupling and superfluid stars

Rocha

2021

Eur. Phys. J. C

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The gravitational decoupling is applied to studying minimal geometric deformed (MGD) compact superfluid stars, in covariant logarithmic scalar gravity on fluid branes. The brane finite tension is shown to provide more realistic values for the asymptotic value of the mass function of MGD superfluid stars, besides constraining the range of the self-interacting scalar field, minimally coupled to gravity. Several other physical features of MGD superfluid stars, regulated by the finite brane tension and a decoupling parameter, are derived and discussed, with important corrections to the general-relativistic limit that corroborate to current observational data.

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“…Contreras and Bargueño [27] used this technique in (2 + 1)-dimensional gravity and obtained exterior charged BTZ solution from its vacuum counterpart. Sharif and Ama-Tul-Mughani employed EGD approach to compute anisotropic solutions corresponding to Tolman IV [28] and solutions.…”

Section: Introductionmentioning

confidence: 99%

Compact objects by gravitational decoupling in f(R) gravity

Sharif

Aslam

2021

Eur. Phys. J. C

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The objective of this paper is to discuss anisotropic solutions representing static spherical self-gravitating systems in f(R) theory. We employ the extended gravitational decoupling approach and transform temporal as well as radial metric potentials which decomposes the system of non-linear field equations into two arrays: one set corresponding to seed source and the other one involves additional source terms. The domain of the isotropic solution is extended in the background of f(R) Starobinsky model by employing the metric potentials of Krori–Barua spacetime. We determine two anisotropic solutions by employing some physical constraints on the extra source. The values of unknown constants are computed by matching the interior and exterior spacetimes. We inspect the physical viability, equilibrium and stability of the obtained solutions corresponding to the star Her X-I. It is observed that one of the two extensions satisfies all the necessary physical requirements for particular values of the decoupling parameter.

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Anisotropic spherical solutions through extended gravitational decoupling approach

Cited by 58 publications

References 26 publications

An anisotropic version of Tolman VII solution in f(R, T) gravity via gravitational decoupling MGD approach

An anisotropic version of Tolman VII solution in f(R, T) gravity via gravitational decoupling MGD approach

Gravitational decoupling and superfluid stars

Compact objects by gravitational decoupling in f(R) gravity

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