Construction of Maximally Symmetric Solutions for the Metric

Abstract

We construct new maximally symmetric solutions for the metric. We then show that for a string moving in a background consisting of maximally symmetric gravity, dilaton field and second rank antisymmetric tensor field, the O(d) $\otimes$ O(d) transformation on the vacuum solutions, in general, gives inequivalent solutions that are not maximally symmetric.

latex, 13 pages