Warped spherical compactifications in the gravity theory

TL;DR

This paper introduces new exact solutions for warped spherical compactifications in higher-dimensional gravity theories, including static and accelerating universe models with scalar and form fields.

Contribution

It presents two novel classes of solutions: one with a static warp factor and de Sitter spacetime, and another with a time-dependent warp factor leading to an accelerating universe.

Findings

Found solutions with static warp factors and de Sitter spacetime.

Derived solutions with time-dependent warp factors for accelerating universes.

Expanded the set of known warped compactification models.

Abstract

We present new exact solutions of the warped spherical compactifications in the higher-dimensional gravitational theory coupled to scalar and several form field strengths. We find two classes of solutions. One has a de Sitter spacetime with a static warp factor. The other gives an accelerating universe in the non-Einstein conformal frame with a time-dependent warp factor.