Generalized de Sitter solution in multidimensional cosmology with static internal spaces

TL;DR

This paper explores a multidimensional cosmological model with static internal spaces, deriving a generalized de Sitter solution under specific conditions involving a positive cosmological constant and Ricci-flat external space.

Contribution

It presents a new class of solutions in multidimensional cosmology with static internal spaces, extending the understanding of de Sitter solutions in such models.

Findings

Generalized de Sitter solutions exist for Lambda > 0 with Ricci-flat external space.

Solutions require fine-tuning of parameters for static internal spaces.

The model incorporates a homogeneous minimally coupled scalar field.

Abstract

A multidimensional cosmological model with space-time consisting of n (n>1) Einstein spaces M_i is investigated in the presence of a cosmological constant Lambda and a homogeneous minimally coupled free scalar field. Generalized de Sitter solution was found for Lambda > 0 and Ricci-flat external space for the case of static internal spaces with fine tuning of parameters.