Cosmological study of some S-brane solutions in M-theory

TL;DR

This paper investigates intersecting S-brane solutions in M-theory to model late-time cosmic acceleration, incorporating dark energy and dark matter, and derives explicit and numerical solutions for the evolution of the universe.

Contribution

It provides new analytical and numerical solutions for cosmological models based on intersecting S-branes in M-theory, demonstrating scenarios with late-time acceleration.

Findings

Late-time cosmic acceleration achieved in specific intersecting S-brane configurations.

Explicit solutions for scale factors in pure dark energy scenarios.

Numerical solutions showing realistic dark energy and dark matter densities.

Abstract

A cosmological analysis considering the inclusion of dark energy and dark matter cosmic components in the context of some particular cases for intersecting S-brane solutions is presented and discussed. Direct solution of $d$-dim field equations and dimensional reduction processes, are implemented for the pure dark energy and dark energy with dark matter cosmological scenarios, respectively. In the first case, explicit expressions and evolution for $d$-dim scale factors are founded and studied. Secondly, a low energy effective $4$-dim model is obtained analytically and their resulting field equations are solved numerically. The role of internal space geometry is always a central element of our analysis. In some intersecting cases and under certain considerations, a suitable late-time cosmic acceleration description is founded and an adequate behavior for scale factor $a(t)$ and realistic values for dark energy $\Omega_{DE}$ and dark matter $\Omega_{DM}$ relative energy densities are obtained as well. As a result, we do specifically obtain late-time cosmic acceleration in one scenario where our universe makes part either of an SM2$\bot$SM2 or an SM2$\bot$SM5 intersection. This could give rise to further possible configurations where late-time cosmic acceleration is present.