Study of (1 + 2)-dimensional charged string cloud with minimal geometric deformation

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

doi:10.1142/s0219887819501871

Cited by 22 publications

(10 citation statements)

References 23 publications

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“…Sharif and Waseem [62,63] devoted their study to obtain spherically symmetric anisotropic and charged anisotropic solution in modified theory of gravity. Sharif and Ama-Tul-Mughani [64] computed exact charged isotropic as well as anisotropic solutions in a cloud of strings. Maurya et al [65] devoted their efforts to explore the possibility of getting solutions for ultradense anisotropic stellar systems with the help of gravitational decoupling via MGD approach within the framework of f (R, T ) theory of gravity.…”

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 gravitational decoupling approach via minimal geometric deformation [ 60 ] and extended gravitational decoupling (EGD) [ 61 ] methods have been widely employed to study compact stars in GR and modified gravity theory as can be seen in the following Refs. [62–82] Recently, the gravitational decoupling methodology has been extended to include the concept of complexity. A wide spectrum of exact solutions have been obtained under the assumption of vanishing complexity within the framework of gravitational decoupling.…”

Section: Introductionmentioning

confidence: 99%

Complexity‐Free Anisotropic Solution of Buchdahl's Model and Energy Exchange Between Relativistic Fluids by Extended Gravitational Decoupling

Maurya

Singh

Govender

et al. 2023

Fortschritte der Physik

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In this work, we present an anisotropic generalization of the Buchdahl static stellar model by implementing the method of extended gravitational decoupling and further requirement of vanishing complexity (Herrera, Phys Rev D 97:044010,2018). Starting off with a general spherically symmetric static metric with two unknown gravitational potentials, we impose the condition of vanishing complexity which then reduces the problem to a single-generating metric function [Contreras and Stuchlik, Eur. Phys. J. C (2022) 82:706]. The Buchdahl ansatz is then employed to obtain the complete gravitational behavior of the isotropic seed solution. The method of extended gravitational decoupling is thereafter utilized to obtain an anisotropic counterpart of the Buchdahl perfect gravitating sphere. We subject our solution to rigorous physical tests to ensure that it serves as a viable candidate for compact objects such as neutron stars as well as pulsars. We show that the decoupling parameter plays a crucial role in determining the stability and regularity of several key physical features of the entire stellar model. A novel finding of our investigation is the energy exchange between the seed solution and the secondary source which we show is sensitive to the decoupling parameter. In addition, it has also been shown that the direction of energy flow depends on the radial distance of the shell from the center of the stellar configuration.

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“…Maurya and Tello-Ortiz [22] graphically analyzed the physical characteristics of an anisotropic solution formulated via the MGD approach. Sharif and Ama-Tul-Mughani [23] discussed the (2 + 1)-dimensional charged string cloud through this technique. They also formulated analytical solutions of axially symmetric geometry in the framework of cosmic strings through gravitational decoupling technique [24].…”

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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Study of (1 + 2)-dimensional charged string cloud with minimal geometric deformation

Cited by 22 publications

References 23 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

Complexity‐Free Anisotropic Solution of Buchdahl's Model and Energy Exchange Between Relativistic Fluids by Extended Gravitational Decoupling

Compact objects by gravitational decoupling in f(R) gravity

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