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This work discusses the responsible quantities of the emergence inhomogeneity by taking locally anisotropic radiating fluid in f (G, T) theory, where T and G indicate the trace of stress energy tensor and Gauss-Bonnet terms. The temporal and radial change in mass function is observed with the help of a modified version of Einstein's field equations. To observe the dynamics of self-gravitating fluid, the dynamical equations and differential equations for conformal tensor are constructed, which help to understand the role of correction terms, Weyl curvature, and fluid parameter in the energy-density irregularity. Various forms of fluid are addressed to meet the desired results. Key words: f (G, T) gravity, radiating fluid, Weyl curvature, energy-density irregularity, 1. Introduction Dynamical relationships between space and time were discussed in Einstein's general theory of relativity (GR), in which Einstein assumed the universe to be static. His theory lightened up [...]

The concept of complexity for dynamical spherically symmetric dissipative self-gravitating configuration (Herrera et al. Phys. Rev. D, 98,104059 (2018). doi:10.1103/PhysRevD.98.104059) is generalized in the scenario of modified Gauss-Bonnet gravity. For this purpose, a spherically symmetric fluid with locally anisotropic, dissipative, and non-dissipative configurations is considered. We choose the same complexity factor for the structure as we did for the static case, while we consider the homologous condition for the simplest pattern of evolution. In this approach, we formulate structure scalars that demonstrate the essential properties of the system. A fluid distribution that fulfills the vanishing complexity constraint and proceeds homologously corresponds to isotropic, geodesic, homogeneous, and shear-free fluid. In the dissipative case, the fluid is still geodesic but it is shearing, and there is a wide range of solutions. In the last, the stability of vanishing complexity is examined. Key words: self-gravitating system, anisotropy, hydrodynamics, tilted space-time, complexity. Nous generalisons le concept de complexite pour une configuration autogravitante, dissipative, spheriquement symetrique et dynamique (Herrera et al. Phys. Rev. D, 98, 104059 (2018). doi:10.1103/PhysRevD.98.104059), dans le scenario de la gravite de Gauss-Bonnet. A cette fin, nous considerons un fluide spheriquement symetrique avec une configuration localement anisotrope, dissipative et non dissipative. Nous choisissons le meme facteur de complexite pour la structure que pour le cas statique, pendant que nous considerons la condition homologue pour le schema d'evolution le plus simple. Dans cette approche, nous formulons des scalaires de structure qui demontrent les proprietes essentielles du systeme. Une distribution de fluide qui satisfait la contrainte de disparition de la complexite et procede de facon homologue correspond a un fluide sans cisaillement, homogene, geodesique et isotrope. Dans le cas dissipatif, le fluide demeure geodesique, mais montre un cisaillement et il y a une large gamme de solutions. Finalement, nous examinons la stabilite de la disparition de la complexite. [Traduit par la Redaction] Mots-cles : systeme autogravitant, anisotropie, hydrodynamique, espace-temps incline, complexite., 1. Introduction There are many works in the literature in which the definition of complexity has been proposed by using different approaches [1-6]. Lopez-Ruiz and collaborators [7, 8] established this [...]

This paper explores spherically symmetrical dynamical traversable wormhole solutions for an anisotropic fluid configuration in the context of f(R) gravity. We construct the corresponding field equations and investigate the wormhole solutions by specifying the redshift and shape functions for three models of f(R) gravity. Graphical analysis shows that ordinary matter satisfies the null as well as weak energy conditions against the time and radial coordinates for each model. It is concluded that dynamical traversable wormholes are supported by this theory. Key words: wormhole solutions, f(R) gravity. Resume: Nous explorons ici les solutions en trou de ver, dynamiquement traversables et spheriquement symetriques, pour un fluide anisotrope dans une gravite f(R). Nous construisons les equations de champ appropriees et examinons les solutions en trou de ver en specifiant le decalage vers le rouge et les fonctions de forme pour trois modeles f(R). L'analyse graphique montre que la matiere ordinaire satisfait les conditions d'energie nulle et faible par rapport au temps et a la coordonnee radiale pour chaque modele. Nous concluons que les trous de ver dynamiquement traversables sont possibles dans cette theorie. Mots-cles: solution en trou de ver, gravite jJR), gravitation., 1. Introduction The accelerating cosmic expansion is one of the most astounding discoveries in the field of cosmology and astrophysics. This tremendous change in cosmic history is strongly evidenced from [...]

A coupled formulation of the Gauss–Bonnet invariant term G and the energy–momentum trace T term, which provide a modified f(G, T) gravity, has been analyzed in this study. The functional form for the f(G, T) gravity has been taken as f(G, T) = αT + βGn, where α and β are free parameters. The field equations are produced in general, which then used a dust case to extract a novel Hubble parameter. The stability of the assumed model and explanation for the late-time acceleration have been studied by the energy bound. Furthermore, the dynamical variables are used to analyze the behavior of the equation of state parameter by restricting different parameters with respect to the recent observational data. A quintessence-like evolution has been achieved as a result of this study. [ABSTRACT FROM AUTHOR]

We investigate a few models with various physical elements that could lead to the appearance of celestial bodies with different curvature systems within the background of f (R , G) gravity, where R represents the Ricci scalar and G stands for the Gauss–Bonnet curvatures. After formulating f (R , G) field equations in the setting of anisotropic fluid configuration, along with specific metric coefficients, the observational data of HerX − 1, 4U1820 − 30, VeLAX − 1, SAXJ1808.4 − 3068, CenX − 3, and PSRJ16142230 are used. Three different gravity models are used to analyze their impact on mathematical modeling. Several physical factors have been illuminated, including energy density, pressure evolutions, energy conditions, stability analysis, the measurement equation of state parameters, matter content, etc. To access the substance of our model, we observed a number of physical factors, and it was discovered that our system does not contain any singularities. [ABSTRACT FROM AUTHOR]