Role of gravitational decoupling on isotropization and complexity of self-gravitating system under complete geometric deformation approach

Maurya, S. K.; Nag, Riju

doi:10.1140/epjc/s10052-021-09972-2

Cited by 41 publications

(17 citation statements)

References 68 publications

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“…Spherical symmetry, cylindrical symmetry and hyperbolic systems have been studied in various treatments [6][7][8][9][10][11][12][13][14][15][16][17][18]; this emphasizes the role of complexity in various geometries. It is interesting to note that issues related to complexity have been investigated in generalised gravity theories including Einstein-Gauss-Bonnet theory, the more general Lovelock theory, f(R) theory and other extended theories of gravity [6,[19][20][21][22][23][24].…”

Section: Previous Workmentioning

confidence: 99%

Gaussian curvature of spherical shells: a geometric measure of complexity

Singh¹,

Baboolal²,

Goswami³

et al. 2022

Class. Quantum Grav.

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We consider a semitetrad covariant decomposition of spherically symmetric spacetimes, and find a governing hyperbolic equation for the Gaussian curvature of two dimensional spherical shells, that emerges from the decomposition. The restoration factor of this hyperbolic travelling wave equation allows us to construct a geometric measure of complexity. This measure depends critically on the Gaussian curvature, and we demonstrate this geometric connection to complexity for the first time. We illustrate the utility of this measure by classifying well known spherically symmetric metrics with different matter distributions. We also define an order structure on the set of all spherically symmetric spacetimes, according to their complexity and physical properties.

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Section: Previous Workmentioning

confidence: 99%

Gaussian curvature of spherical shells: a geometric measure of complexity

Singh¹,

Baboolal²,

Goswami³

et al. 2022

Class. Quantum Grav.

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“…It is our main goal here to construct a hairy black hole with a generic matter sector through the Gravitational Decoupling (GD) approach [ 9,10 ] (see [11–65] for applications of GD in standard general relativity. For applications in higher dimensions see [66, 67], for example).…”

Section: Introductionmentioning

confidence: 99%

A Static and Spherically Symmetric Hairy Black Hole in the Framework of the Gravitational Decoupling

Avalos

Bargueño

Contreras

2023

Fortschritte der Physik

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In this work we construct a static and spherically symmetric black hole geometry supported by a family of generic mono-parametric sources thorough the Gravitational Decoupling. The parameter characterizing the matter sector can be interpreted as hair which cannot be associated to any global charge. Although the solution is constructed by demanding the weak energy condition, we find that the resulting matter sector satisfies all the energy conditions at and outside the horizon. We study the effect of the hair on the periastron advance and the gravitational lensing of the black hole. We estimate the best WKB order to compute the quasinormal frequencies for scalar, vector and tensor perturbation fields.

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“…A wide spectrum of exact solutions have been obtained under the assumption of vanishing complexity within the framework of gravitational decoupling. [83][84][85][86][87][88][89][90] Due to the success of the above methodology, our main objective in this work is to find an anisotropic generalization of the Buchdahl [91] perfect fluid model by gravitational decoupling satisfying the complexity-free condition. Buchdahl proposed a relativistic model, where the Schwarzschild interior solution had been generalized to more general static fluid spheres in the form of inequalities involving only the mass concentration and the ratio of the central energy density to the central pressure.…”

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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Role of gravitational decoupling on isotropization and complexity of self-gravitating system under complete geometric deformation approach

Cited by 41 publications

References 68 publications

Gaussian curvature of spherical shells: a geometric measure of complexity

Gaussian curvature of spherical shells: a geometric measure of complexity

A Static and Spherically Symmetric Hairy Black Hole in the Framework of the Gravitational Decoupling

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

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