The different kinds of self-similarity in general relativity are discussed, with special emphasis
on similarity of thefirst'kind, corresponding to spacetimes admitting a homothetic vector. We …

This review paper is devoted to analyzing the main properties of the cosmological singularity
associated with the homogeneous and inhomogeneous Mixmaster model. After the …

Dynamical systems theory is especially well-suited for determining the possible asymptotic
states (at both early and late times) of cosmological models, particularly when the governing …

We perform a detailed dynamical analysis of anisotropic scalar-field cosmologies, and in
particular of the most significant Kantowski–Sachs, locally rotationally symmetric (LRS) …

Recently, the research community has been exploring fractional calculus to address
problems related to cosmology; in this approach, the gravitational action integral is altered …

We construct general anisotropic cosmological scenarios governed by an f (R) gravitational
sector. Focusing then on Kantowski–Sachs geometries in the case of R n-gravity, and …

We shall study spatially homogeneous cosmological models containing a selfinteracting
scalar field with an exponential potential of the form V () ek. The asymptotic properties of …

A class of positive curvature spatially homogeneous but anisotropic cosmological models
within an Einstein-aether gravitational framework are investigated. The matter source is …

We present dark energy models in an anisotropic Bianchi type-VI 0 (B-VI 0) space-time with
a variable equation of state (EoS). The EoS for dark energy ω is found to be time dependent …

Within the scope of the Bianchi type VI models, the self-consistent system of nonlinear spinor
field and gravitational fields is considered. Exact self-consistent solutions to the spinor and …