Cosmological Attractors and Anisotropies in Two Measure Theories, Effective EYMH systems, and Off--Diagonal Inflation Models

TL;DR

This paper constructs diverse cosmological solutions within two measure theories using anholonomic frame methods, exploring models like FLRW, Bianchi, Kasner, and inflationary regimes, revealing new attractor behaviors and anisotropies.

Contribution

It introduces a novel application of anholonomic frame deformation to generate cosmological solutions in two measure theories, encompassing various inflationary and anisotropic models.

Findings

Identification of attractor configurations in cosmological models.

Construction of solutions with anisotropies and different inflation regimes.

Demonstration of the versatility of the anholonomic frame method in theoretical cosmology.

Abstract

Applying the anholonomic frame deformation method, we construct various classes of cosmological solutions for effective Einstein -- Yang-Mills -- Higgs, and two measure theories. The types of models considered are Freedman-Lema\^{i}tre-Robertson-Walker, Bianchi, Kasner and models with attractor configurations. The various regimes pertaining to plateau--type inflation, quadratic inflation, Starobinsky type and Higgs type inflation are presented.