A Note on Acceleration from Product Space Compactification
Chiang-Mei Chen, Pei-Ming Ho, Ishwaree P. Neupane, John E. Wang
TL;DR
This paper investigates Einstein gravity compactified on product spaces, deriving exponential scalar potentials and exact solutions, but finds these do not produce enough inflation for early universe cosmology.
Contribution
It provides explicit solutions for vacuum Einstein gravity on product spaces and analyzes their inflationary potential, highlighting limitations for cosmological applications.
Findings
Derived exponential scalar potentials for compactifications.
Obtained exact solutions for a class of product spaces.
Found that inflation from these solutions is insufficient for early universe.
Abstract
We study compactifications of Einstein gravity on product spaces in vacuum and their acceleration phases. Scalar potentials for the dimensionally reduced effective theory are found to be of exponential form and exact solutions are obtained for a class of product spaces. The inflation in our solutions is not sufficient for the early universe. We comment on the possibility of obtaining sufficient inflation by compactification in general.
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