Complexity and the departure from spheroidicity

Abstract

In this work we investigate the effect of spheroidicity on complexity in self-gravitating, static systems. Utilizing the anisotropic generalisation of the Vaidya–Tikekar superdense stellar model, we employ the complexity factor to connect the spheroidal parameter to the pressure anisotropy and density inhomogeneity. Our findings indicate that deviation from spherical symmetry lead to a higher degree of complexity within the stellar body. We further show the equation of state of parameter is inherently linked to the complexity factor thus demonstrating that the nature of matter in self-gravitating bounded systems plays an important role in the effect of pressure anisotropy and density inhomogeneities.

Anisotropic stars made of exotic matter within the complexity factor formalism

“…However, the real value of such definition becomes evident when we use it as a supplementary condition to close the set of differential equations of a self-gravitational system. What is more, the complexity factor could be used as a self-consistent way to incorporate anisotropies [68,69], see also [70][71][72][73][74][75][76][77] and references therein.…”

Anisotropic stars made of exotic matter within the complexity factor formalism

“…However, the real value of such definition becomes evident when we use it as a supplementary condition to close the set of differential equations of a self-gravitational system. Additionally, the complexity factor may serve as a self-consistent method for integrating anisotropies [68,69], which has been explored in recent studies [70][71][72][73][74][75][76][77] and their associated references.…”

Stellar models with like-Wyman IIa complexity factor

“…In particular, the complexity criteria is a cutting-edge instrument that enables us to create new anisotropic solutions, as a result of which new solutions have recently been found given the use of this factor in [90][91][92][93][94][95][96][97][98][99][100][101][102][103]. But also, this definition is so adequate that it has allowed to carry out, its implementation on the study of black holes in the framework of the Newman-Penrose formalism [104], construct traversable wormholes geometries [105,106], an study of the departure from spheroidicity of self-gravitating spheres [107], its extension for the time dependent case [108], the study of the dynamics of the gravitational collapse of a compact object [109], for study of axially symmetric systems [110,111], for the study of cylindrical fluid systems [112][113][114], even it has been used in the study of symmetric hyperbolical fluids [115][116][117][118][119][120][121][122][123][124][125][126][127][128], among others. This paper is organized as follows: In Sect.…”