Stability Analysis of Isotropic Spheres in Einstein Gauss–Bonnet Gravity

Yousaf, Z.; Bhatti, M. Z.; Khan, S.

doi:10.1002/andp.202200252

Cited by 10 publications

(6 citation statements)

References 103 publications

(140 reference statements)

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“…This show that the temporal metric potential remains same, while the presence of the Xgravitational source induces a deformation of the radial metric potential (23). Therefore, all the effects stemming form the X-gravitational sector is encoded in the radial metric potential g rr (r) = e ϕ2(r) .…”

Section: Field Equations For [T * ] µν and X µν Sectors Via Mgd-decou...mentioning

confidence: 82%

“…Finding physically viable solutions to the EFEs in the presence of anisotropy remains a significant challenge [12]. Despite its considerable challenge, a wide range of works in this direction have been available in the literature [13][14][15][16][17][18][19][20][21][22][23]. These investigations have successfully addressed the impact of anisotropy for understanding the evolution and formation of highly dense stellar distributions.…”

Section: Introductionmentioning

confidence: 99%

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Role of complexity on the minimal deformation of black holes

Yousaf,

Bamba,

Almutairi

et al. 2024

Class. Quantum Grav.

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We investigate spherically symmetric classes of anisotropicsolutions within the realm of a schematic gravitational decoupling scheme, primarily decoupling through minimal geometricdeformation, applied to non-rotating, ultra-compact,self-gravitational fluid distributions. In this respect, we employthe minimal complexity factor schemeto generate physically realistic models foranisotropic matter distributions, using a well-behaved model. The zero-complexity factor condition enables us todetermine the deformation function for solving the decoupled system.We explore all the structure-defining scalar variables, such asdensity inhomogeneity, strong energycondition, density homogeneity, and the complexity factor (an alloy ofdensity inhomogeneity and pressure anisotropy) for the decouplingconstant ranging between $0$ and $1$. We observe that the anisotropy vanishes when the coupling constant is set to unity. This finding holds significance as it implies that, in the context of a zero-complexity factor approach, an anisotropic matter distribution becomes perfect without requiring any isotropy requirements. This work effectively explored the impact of complexity on the composition of self-gravitational stellar distributions. This effective approach enables the development of new, physically realistic isotropic stellar models for anisotropic matter distributions. Additionally, our findings indicate that the complexity factor in static, spherically symmetric self-gravitational objects can significantly affect the nature of the matter distribution within these systems. It is concluded that the minimally deformed Durgapal-IV model features an increasing pressure profile, and the local anisotropy of pressure vanishes throughout the model under complexity-free conditions.

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Section: Field Equations For [T * ] µν and X µν Sectors Via Mgd-decou...mentioning

confidence: 82%

Section: Introductionmentioning

confidence: 99%

Role of complexity on the minimal deformation of black holes

Yousaf,

Bamba,

Almutairi

et al. 2024

Class. Quantum Grav.

Self Cite

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show abstract

“…[43] They also, discussed significance of electric charge intensity on the dynamical behavior of hyperbolically symmetric fluids configuration and complicity of different celestial objects in refs. [44][45][46]. Optimizing throughput in industrial wireless sensor networks with energy harvesting relay while adhering to reliability constraints are studied in ref.…”

Section: Introductionmentioning

confidence: 99%

Dynamically Charged Spheres and their Stability in Einstein‐Gauss‐Bonnet Gravity

ur Rehman,

ul Haq Bhatti,

Yousaf

2024

Fortschritte der Physik

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Electrically charged anisotropic fluid spheres with vanishing expansion scalar condition under the influence of a newly established gravitational scheme are investigated in this study, i.e., Einstein‐Gauss‐Bonnet (EGB) gravity. Glavan and Lin introduced this framework, in which they rescaled the coupling factor α using and derived the gravitational field equations. The work of Herrera et al. is extended to explore the dynamical instability of charged spherically symmetric matter distribution in the context of EGB gravity. In this respect, dynamical equations, conservation equations, and junction conditions for charged sphere are computed. To study the evolution of considered system in the Newtonian and post‐Newtonian regimes against an expansion‐free background, several substantial restrictions are imposed employing a perturbation approach. This study showed that the adiabatic index (Γ) has no effect on the instability ranges in the aforementioned approximations. It is analyzed that the determination of these ranges solely attributed to the anisotropy of fluid surface pressures, radial profile, EGB factors, and charged intensity parameters along with the radial distribution of energy density.

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“…Besides considering astrophysical anisotropy as a primary factor in exploring the evolution and formation of stellar distributions, one can also explore it through another structural variable involving density gradients and anisotropic pressure terms Complexity, instead of being a straightforward and intuitive concept, represents a physical notion closely related to the fundamental configuration of nature. This aspect has drawn the attention of a wide array of researchers across diverse research areas [35][36][37][38][39][40][41][42]. In the past, numerous endeavors have been directed toward establishing a precise definition of complexity across various scientific disciplines.…”

Section: Introductionmentioning

confidence: 99%

Complexity-free charged anisotropic Finch-Skea model satisfying Karmarkar condition

Khan,

Yousaf

2024

Phys. Scr.

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By making use of the extended geometric deformation (EGD) approach, this work explores the charged anisotropic Finch-Skea solution satisfying the Karmarkar condition. The implementation of EGD-approach splits the original gravitational source into perfect and anisotropic ﬂuid conﬁgurations. We employ Herrera’s complexity factor [1] formalism to develop theoretical models characterizing the role of complexity on the Finch-Skea solution. The use of the Karmarkar condition enables us to derive a solution for the isotropic, charged spherical conﬁguration by deﬁning a Finch-Skea metric that evaluates the deformation functions. The Finch-Skea ansatz serves as a valuable seed model for solving the seed-gravitational source, however, the zero-complexity constraint is employed to solve the remaining set of anisotropic equations. We match the interior metric manifold attributed to the spherically symmetric ansatz with the classical Reissner-Nordström metric. We examined the inﬂuence of gravitational decoupling on the anisotropic Finch-Skea solution. We also analyzed the physical viability of the presented results using graphical representations for the thermodynamic variables.

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Stability Analysis of Isotropic Spheres in Einstein Gauss–Bonnet Gravity

Cited by 10 publications

References 103 publications

Role of complexity on the minimal deformation of black holes

Role of complexity on the minimal deformation of black holes

Dynamically Charged Spheres and their Stability in Einstein‐Gauss‐Bonnet Gravity

Complexity-free charged anisotropic Finch-Skea model satisfying Karmarkar condition

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