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In this paper, we study the complexity factor for a charged anisotropic self-gravitating object. We formulate the Einstein-Maxwell field equations, Tolman-Opphenheimer-Volkoff equation, and the mass function. We form the structure scalars…

General Relativity and Quantum Cosmology · Physics 2018-09-26 M. Sharif , Iqra Ijaz Butt

We put forward a new definition of complexity, for static and spherically symmetric self--gravitating systems, based on a quantity, hereafter referred to as complexity factor, that appears in the orthogonal splitting of the Riemann tensor,…

General Relativity and Quantum Cosmology · Physics 2018-03-14 L. Herrera

In a recent paper, Herrera \cite{2} (L. Herrera: Phys. Rev. D97, 044010(2018)) have proposed a new definition of complexity for static self-gravitating fluid in General Relativity. In the present article, we implement this definition of…

General Relativity and Quantum Cosmology · Physics 2018-10-30 G. Abbas , H. Nazar

The aim of this paper is to present the definition of complexity for static self-gravitating anisotropic matter proposed in $f(G,T)$ theory, where $G$ is the Gauss-Bonnet term and $T$ is the trace of energy momentum tensor. We evaluate…

General Physics · Physics 2021-08-30 Z. Yousaf , Kazuharu Bamba , M. Z. Bhatti , K. Hassan

The aim of this paper is to generalize the definition of complexity for the static self-gravitating structure in $f(R,T,Q)$ gravitational theory, where $R$ is the Ricci scalar, $T$ is the trace part of energy momentum tensor and $Q\equiv…

General Relativity and Quantum Cosmology · Physics 2021-04-28 Z. Yousaf , Maxim Yu. Khlopov , M. Z. Bhatti , T. Naseer

In this paper, the notion of complexity factor and its implication is extended to the framework of non-conserved Rastall theory of gravity. First of all, the field equations governing a static spherical geometry associated with the…

General Relativity and Quantum Cosmology · Physics 2025-07-11 Tayyab Naseer

We generalized Herrera's definition of complexity factor for static spherically symmetric fluid distributions to Rastall-Rainbow theory of gravity. For this purpose, an energy-dependent equation of motion is employed in accordance with the…

General Relativity and Quantum Cosmology · Physics 2024-10-07 Zhou-Li Ye , Yu Wang , Rui-Xin Yang , Dao-Jun Liu

In this paper, we study the complexity factor of a static anisotropic sphere in the context of self-interacting Brans-Dicke theory. We split the Riemann tensor using Bel's approach to obtain structure scalars relating to comoving congruence…

General Relativity and Quantum Cosmology · Physics 2019-10-23 M. Sharif , Amal Majid

This paper investigates the complexity of a charged static sphere filled with anisotropic matter in the background of energy-momentum squared gravity. For this purpose, we evaluate the modified field and conservation equations to determine…

General Relativity and Quantum Cosmology · Physics 2022-05-19 M. Sharif , Ayesha Anjum

In this paper, we evaluate the complexity of the non-static cylindrical geometry with anisotropic matter configuration in the framework of modified Gauss-Bonnet theory. In this perspective, we calculate modified field equations, the C…

General Relativity and Quantum Cosmology · Physics 2025-06-05 M. Zeeshan Gul , W. Ahmad , M. M. M. Nasir , Faisal Javed , Orhan Donmez , Bander Almutairi

This paper is devoted to present new definition of complexity factor for static cylindrically symmetric matter configurations in $f(R,T,R_{\mu\nu}T^{\mu\nu})$ gravity. For this purpose, we have considered irrotational static cylindrical…

General Relativity and Quantum Cosmology · Physics 2020-03-30 Z. Yousaf , M. Z. Bhatti , T. Naseer

In this paper, we investigate complexity of anisotropic cylindrical object under the influence of electromagnetic field in $f(G,T)$ theory, where $G$ and $T$ indicate the Gauss-Bonnet term and trace of the stress-energy tensor,…

General Relativity and Quantum Cosmology · Physics 2023-01-12 M. Sharif , Komal Hassan

This paper uses the definition of complexity for a static spherically symmetric spacetime and extends it to the case of charged distribution. We formulate the Einstein-Maxwell field equations corresponding to the anisotropic interior and…

General Relativity and Quantum Cosmology · Physics 2023-06-02 M. Sharif , Tayyab Naseer

This study explores the application of complexity factor within the context of Rastall gravity, exploring its implications on a static spacetime admitting spherical symmetry associated with anisotropic fluids under an electromagnetic field.…

General Relativity and Quantum Cosmology · Physics 2025-08-20 Tayyab Naseer

This paper investigates some physical features that give rise to complexity within the self-gravitating static cylindrical structure coupled with anisotropic distribution in the energy-momentum squared gravity. To accomplish this, we…

General Relativity and Quantum Cosmology · Physics 2022-10-12 M. Sharif , Ayesha Anjum

A previously found definition of complexity for spherically symmetric fluid distributions [1], is extended to axially symmetric static sources. In this case there are three different complexity factors, defined in terms of three structure…

General Relativity and Quantum Cosmology · Physics 2019-03-20 L. Herrera , A. Di Prisco , J. Ospino

We use the definition of complexity for static and self--gravitating objects to build up three physical general relativistic anisotropic models fulfilling the vanishing complexity condition which serves to provide the extra information…

General Relativity and Quantum Cosmology · Physics 2022-08-24 C. Arias , E. Contreras , E. Fuenmayor , A. Ramos

This paper is devoted to the formulation of a complexity factor for dynamical anisotropic sphere in the framework of $f(G,T)$ gravity, where $G$ is the Gauss-Bonnet invariant and $T$ is the trace of energy-momentum tensor. Inhomogeneous…

General Relativity and Quantum Cosmology · Physics 2022-05-10 M. Sharif , K. Hassan

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,…

General Relativity and Quantum Cosmology · Physics 2024-08-23 Z. Yousaf , Kazuharu Bamba , Bander Almutairi , S. Khan , M. Z. Bhatti

The aim of this paper is to explore the complexity factor (CF) for those self-gravitating relativistic spheres whose evolution proceeds non-dynamically. We are adopting the definition of CF mentioned in \cite{PhysRevD.97.044010}, modifying…

General Relativity and Quantum Cosmology · Physics 2020-06-03 Z. Yousaf
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