The Bianchi IX cosmological model (through Bianchi I and II) is analyzed in the framework of a generalized uncertainty principle. In particular, the anisotropies of the Universe are described by a deformed Heisenberg algebra. Three main results are in order. (i) The Universe can not isotropize because of the deformed Kasner dynamics. (ii) The triangular allowed domain is asymptotically stationa...

We consider a modified version of Brans-Dicke theory (MBDT) in four dimensions (4D) obtained by applying the induced matter method Wesson to 5D generalized theory. In model consists pure vacuum, with no self-interacting potential, except for scalar field. Following Wesson’s protocol, we group geometric terms Einstein tensor arising from extra dimension, move them other side field equations, and...

Current observations indicate that, on a large enough scale, the universe is homogeneous and isotropic. However, this does not preclude possibility of some anisotropy having occurred during early stages evolution universe, which could then have been damped out later. This idea has aroused interest in Bianchi models, are but anisotropic. Secondly, there much modified gravity these days due to pr...

The early time behaviour of brane-world models is analysed in the presence of anisotropic stresses. It is shown that that the initial singularity cannot be isotropic, unless there is also an isotropic fluid stiffer than radiation present. Also, a magnetic Bianchi type I brane-world is analysed in detail. It is known that the Einstein equations for the magnetic Bianchi type I models are in gener...

We study the homogeneous and anisotropic dynamics of pseudoscalar inflation coupled to an $\mathrm{SU}(N)$ gauge field. To see how initially universe is isotropized in such model, we derive equations obtain axisymmetric field configurations Bianchi type-I geometry discuss a method identify their isotropic subsets which are candidates late-time attractor. Each solution characterized by correspon...

In this paper, we consider the Bianchi type-I space–time with perfect fluid as matter content of Universe in framework f(Q) gravity (where Q is non-metricity scalar) recently proposed by Jiménez et al. (2018). We find exact solutions field equations using anisotropic property for volumetric hybrid expansion. The cosmological parameters linear form scalar i.e. fQ=?Q+? ? and ? are free model para...

We study isotropic and anisotropic (Bianchi I) cosmologies in Palatini f(R) and f(R,RμνR μν) theories of gravity and consider the existence of non-singular bouncing solutions in the early universe. We find that all f(R) models with isotropic bouncing solutions develop shear singularities in the anisotropic case. On the contrary, the simple quadratic model R+ aR/RP +RμνR /RP exhibits regular bou...

The behaviour of the wave function of the Universe under the barrier for anisotropic cosmological Bianchi type IX model with account of influence of the scalar field is explored. In view of known difficulties with interpretation of multidimensional wave functions the method of reduction of such problems to one-dimensional is offered. For this purpose in frameworks of semiclassical approach the ...