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Although the interpretation of complexity in extended theories of gravity is available in the literature, its illustration in $f(R,L_{m},\mathcal{T})$ theory is still ambiguous. The orthogonal decomposition of the Riemann tensor results in…

General Relativity and Quantum Cosmology · Physics 2025-06-23 A. Rehman , Tayyab Naseer , Nazek Alessa , Abdel-Haleem Abdel-Aty

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

Regardless of the adequate descriptions of complexity in distinct alternative gravity theories, its elaboration in the framework of $f(R,\mathcal{L}_{m},\mathcal{T})$ theory remains uncertain. The orthogonal splitting of the curvature…

General Relativity and Quantum Cosmology · Physics 2025-05-26 A. Rehman , Tayyab Naseer , Baiju Dayanandan

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

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 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

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 determine the electromagnetic effects on the complexity factor of radiating anisotropic cylindrical geometry in the background of $f(G,\mathcal{T})$ theory. The self-gravitating objects possessing inhomogeneous energy…

General Relativity and Quantum Cosmology · Physics 2023-09-07 M. Sharif , K. Hassan

In this outline we recognize the idea of complexity factor for static anisotropic self-gravitating source with generalized $f(R)$ metric gravity theory. In present consideration, we express the Einstein field equations, hydrostatic…

General Relativity and Quantum Cosmology · Physics 2018-12-05 G. Abbas , H. Nazar

Gravitational lensing of luminous matter that surrounds a black hole or some other sufficiently compact object produces an infinite sequence of images. Besides the direct (or primary) image, it comprises demagnified and deformed replicas of…

General Relativity and Quantum Cosmology · Physics 2024-08-21 Fabio Aratore , Oleg Yu. Tsupko , Volker Perlick

The notion of non-equatorial spherical photon orbits is among the very special properties of the Kerr spacetime of rotating black holes and is one that leaves a clear mark on the electromagnetic and gravitational wave signature of these…

General Relativity and Quantum Cosmology · Physics 2019-04-15 George Pappas , Kostas Glampedakis

The optical appearance of a body compact enough to feature an unstable bound orbit, when surrounded by an accretion disk, is expected to be dominated by a luminous ring of radiation enclosing a central brightness depression typically known…

General Relativity and Quantum Cosmology · Physics 2023-09-25 Gonzalo J. Olmo , João Luís Rosa , Diego Rubiera-Garcia , Diego Sáez-Chillón Gómez

We propose a novel concept of astrophysical mirroring in the schwarzschild framework, which emerges as a direct consequence of gravitational lensing effects occurring in the immediate vicinity of extremely dense massive objects within…

General Relativity and Quantum Cosmology · Physics 2026-04-08 Bikramarka S Choudhury , Aritra Sanyal , Md Khalid Hossain , Farook Rahaman

In this article, we have studied a cylindrically symmetric self-gravitating dynamical object via complexity factor which is obtained through orthogonal splitting of Reimann tensor in $f(R,T)$ theory of gravity. Our study is based on the…

General Relativity and Quantum Cosmology · Physics 2022-03-14 M. Zubair , Hina Azmat

Recent observations of black hole shadows have revolutionized our ability to probe gravity in extreme environments. This manuscript presents a novel analytic method to calculate, in leading-order terms, the key parameters of photon sphere…

General Relativity and Quantum Cosmology · Physics 2024-06-04 Vitalii Vertogradov , Ali Övgün

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

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

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 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

In a recent work PRD 106, L021501 (2022), a new geometric approach is proposed to obtain the photon sphere (circular photon orbit) and the black hole shadow radius. In this approach, photon spheres and the black hole shadow radius are…

General Relativity and Quantum Cosmology · Physics 2022-11-11 Chen-Kai Qiao
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