On multidimensional solutions in the Einstein-Gauss-Bonnet model with a cosmological term

TL;DR

This paper explores solutions in a D-dimensional Einstein-Gauss-Bonnet model with a cosmological term, presenting new solutions with exponential scale factors that describe expanding and contracting spaces.

Contribution

It introduces new solutions for non-zero cosmological term in an 8-dimensional model with exponential scale factors, extending previous zero cosmological term results.

Findings

New solutions for D=8 with exponential scale factors

Expansion of 3D space and contraction of 4D internal space

Solutions with non-zero cosmological term

Abstract

A D-dimensional gravitational model with Gauss-Bonnet and cosmological term is considered. When ansatz with diagonal cosmological metrics is adopted, we overview recent solutions for zero cosmological term and find new examples of solutions for non-zero cosmological term and D = 8 with exponential dependence of scale factors which describe an expansion of our 3-dimensional factor-space and contraction of 4-dimensional internal space.