Spin-Torsion, Braneworlds and Changing Symmetry in the Universe

TL;DR

This thesis investigates three cosmological alternatives—spin torsion, braneworlds, and changing symmetry—finding new solutions, analyzing perturbations, and proposing a future phase transition, challenging standard inflationary models.

Contribution

It introduces new cosmological solutions in spin torsion theories, derives perturbation equations in braneworld models, and models a future symmetry phase transition in the universe.

Findings

Spin torsion models lack inflationary phases.

Braneworld perturbations show minimal high-energy effects on observable spectra.

A possible future phase transition in the universe's symmetry.

Abstract

In this thesis, we explore three phenomenological alternatives to the current paradigm of the standard inflationary big bang scenario. The three alternative themes are spin torsion (or Einstein-Cartan-Kibble-Sciama) theories, extra dimensions (braneworld cosmology) and changing global symmetry. In the spin torsion theories, we found new cosmological solutions with a cosmological constant as alternative to the standard scalar field driven inflationary scenario and we conclude that these toy models do not exhibit an inflationary phase. In the theme of extra dimensions, we discuss the dynamics of linearized scalar and tensor perturbations in an almost Friedmann-Robertson-Walker braneworld cosmology of Randall-Sundrum type II using the 1+3 covariant approach. We derive a complete set of frame-independent equations for the total matter variables, and a partial set of equations for the non-local variables, which arise from the projection of the Weyl tensor in the bulk. The latter equations are incomplete since there is no propagation equation for the non-local anisotropic stress. In the simplest approximation, we show the braneworld imprint as a correction to the power spectra for standard temperature and polarization anisotropies and similarly show that the tensor anisotropies are also insensitive to the high energy effects. Finally in the theme of changing global symmetry, we constructed a bounded isothermal solution embedded in an expanding Einstein de Sitter universe and showed that there is a possible phase transition in the far future.