Complexity factor for anisotropic source in non-minimal coupling metric f(R) gravity

Abstract

In this outline we recognize the idea of complexity factor for static anisotropic selfgravitating source with generalized f (R) metric gravity theory. In present consideration, we express the Einstein field equations, hydrostatic equilibrium equation, the mass function and physical behavior of f (R) model by using some observational data of well known compact stars like 4U 1820 − 30, SAX J1808.4 − 3658 and Her X − 1. We define the scalar functions through the orthogonal splitting of the Reimann-Christofell tensor and then find the vanishing complexity condition for self-gravitating system with the help of these scalars. It has been found that the vanishing condition for the complexity are pressure anisotropy and energy density inhomogeneity must cancel each other. Moreover, we study the momentous results of an astral object for the vanishing of complexity factor. Finally, these solutions reduced to previous investigation about complexity factor in General Relativity by taking λ = 0.

Inhomogeneous and Radiating Composite Fluids

“…Further insights into the spacetime geometry will be obtained when we apply the energy conditions to particular radiating stellar models together with the complexity factor [1][2][3][4][5][6][7][8][9][10][11]. where q = qB + .…”

“…Complexity is encoded in a structure scalar containing components from inhomogeneity, in the energy density, and local anisotropy arising from shear viscosity. Several studies have applied the ideas of Herrera [1] to general relativity [2][3][4][5][6][7][8][9][10][11], and modified gravity theories, especially Einstein-Gauss-Bonnet gravity [12]. Another general concept that may be applied to self-gravitating fluids is energy conditions [13].…”

A Tolman-like Compact Model with Conformal Geometry

“…where C a bcd are the nonzero components of the Weyl tensor. Recently, it was showed by Manjonjo et al [29] that the existence of a conformal symmetry (9) in the spacetime manifold, together with the integrability condition (11), lead to a relationship between the gravitational potentials y and Z known as the conformal condition…”

“…Several studies have been made involving complexity in models arising in general relativity [2][3][4][5][6][7][8][9][10]. Note that the idea of complexity may be applied to extended theories of gravity [11,12]. Recently Jasim et al [13] showed that a strange star in Einstein-Gauss-Bonnet gravity can be developed which is consistent with complexity.…”

Complexity of Self-Gravitating Systems

“…The concept of complexity as defined in [ 19 ] has also been extended to other theories of gravity in [ 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 , 43 , 44 , 45 , 46 , 47 , 48 , 49 , 50 , 51 ].…”