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Influence of f(G) gravity on the complexity of relativistic self-gravitating fluids

    https://doi.org/10.1142/S0218271821500978Cited by:24 (Source: Crossref)

    In this paper, we extend the notion of complexity for the case of nonstatic self-gravitating spherically symmetric structures within the background of modified Gauss–Bonnet gravity (i.e. f(G) gravity), where G denotes the Gauss–Bonnet scalar term. In this regard, we have formulated the equations of gravity as well as the relations for the mass function for anisotropic matter configuration. The Riemann curvature tensor is broken down orthogonally through Bel’s procedure to compose some modified scalar functions and formulate the complexity factor with the help of one of the scalar functions. The CF (i.e. complexity factor) comprehends specific physical variables of the fluid configuration including energy density inhomogeneity and anisotropic pressure along with f(G) degrees of freedom. Moreover, the impact of the dark source terms of f(G) gravity on the system is analyzed which revealed that the complexity of the fluid configuration is increased due to the modified terms.

    PACS: 04.20.Cv, 04.40.Nr, 04.50.Kd
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