In this paper, we have studied a model of holographic dark energy (HDE) with homogeneous and anisotropic Bianchi type-I Universe in the framework Gauss-Bonnet (GB) gravity or $f(G)$ gravity. To find an exact solution field equations, assume that deceleration parameter varies cosmic time $\left( t\right) $. We plot some physical quantities give interpretations results obtained. Finally, compared...

Using the symmetric energy-momentum complexes of Landau and Lifshitz, Papapetrou, and Weinberg we obtain the energy of the universe in anisotropic Bianchi type I cosmological models . The energy (due to matter plus field) is found to be zero and this agrees with a previous result of Banerjee and Sen who investigated this problem using the Einstein energy-momentum complex. Our result supports th...

We derive exact solutions to the vacuum Einstein field equations in 5D, under the assumption that (i) the line element in 5D possesses self-similar symmetry, in the classical understanding of Sedov, Taub and Zeldovich, and that (ii) the metric tensor is diagonal and independent of the coordinates for ordinary 3D space. These assumptions lead to three different types of self-similarity in 5D: ho...

In this paper we have investigated an LRS Bianchi I anisotropic cosmological model of the universe by taking time varying G and Λ in the presence of bulk viscous fluid source described by full causal non-equilibrium thermodynamics. We obtain a cosmological constant as a decreasing function of time and for m,n > 0, the value of cosmological “constant” for this model is found to be small and posi...

In this paper we have investigated an LRS Bianchi I anisotropic cosmological model of the universe by taking time varying G and Λ in the presence of bulk viscous fluid source described by full causal non-equilibrium thermodynamics. We obtain a cosmological constant as a decreasing function of time and for m,n > 0, the value of cosmological “constant” for this model is found to be small and posi...