Motivated by the large-scale asymmetry observed in the cosmic microwave background sky, we consider a specific class of anisotropic cosmological models – Bianchi type VIIh – and compare them to the WMAP first-year data on large angular scales. Remarkably, we find evidence of a correlation which is ruled out as a chance alignment at the 3σ level. The best fit Bianchi model corresponds to x = 0.5...

We apply the scale factor duality transformations introduced in the context of the effective string theory to the anisotropic Bianchi-type models. We find dual models for all the Bianchi-types [except for types V III and IX] and construct for each of them its explicit form starting from the exact original solution of the field equations. It is emphasized that the dual Bianchi class B models req...

In the isotropic quantum cosmological perfect fluid model, the initial singularity can be avoided, while the classical behaviour is recovered asymptotically. We verify if initial anisotropies can also be suppressed in a quantum version of a classical anisotropic model where gravity is coupled to a perfect fluid. Employing a Bianchi I cosmological model, we obtain a ”Schrödinger-like” equation w...

The Hartle-Hawking ‘no-boundary’ state is constructed explicitely for the recently developed supersymmetric minisuperspace model with non-vanishing fermion number. Spatially homogeneous models both in gravity and in supergravity have enjoyed some popularity in recent years as a testing ground for new ideas in quantum cosmology. One such idea, which has been discussed extensively in the literatu...

We carried out the detailed group classification of potential in Klein-Gordon equation anisotropic Riemannian manifolds. Specifically, we consider equations for four-dimensional and homogeneous spacetimes Bianchi I, Bianchi\ III V. derive all closed-form expressions function where admits Lie Noether symmetries. apply previous results which connect symmetries\ differential with collineations spa...

We once again reference Theorem 6.1.2 of the book by Ellis, Maartens, and MacCallum in order to argue that if there is a non zero initial scale factor, that there is a partial breakdown of the Fundamental Singularity theorem which is due to the Raychaudhuri equation. Afterwards, we review a construction of what could happen if we put in what Ellis, Maartens, and MacCallum call the measured effe...

We study the late time evolution of a class of exact anisotropic cosmological solutions of Einstein's equations, namely spatially homogeneous cosmologies of Bianchi type VII 0 with a perfect fluid source. We show that, in contrast to models of Bianchi type VII h which are asymptotically self-similar at late times, Bianchi VII 0 models undergo a complicated type of self-similarity breaking. This...