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De Sitter ground states and boundary terms in generalised gravity

Authors
Journal
Nuclear Physics B
0550-3213
Publisher
Elsevier
Publication Date
Volume
323
Issue
1
Identifiers
DOI: 10.1016/0550-3213(89)90596-8

Abstract

Abstract The conditions are derived for existence of maximally symmetric N-dimensional De Sitter space-times in gravity theories derived from the variation of an action containg a lagrangian which is an arbitrary analytic function of the quadratic curvature invariants formed from the scalar, Ricci, and Riemann curvatures. Corresponding existence conditions are also derived for the Lovelock lagrangians. The form of the boundary term required to cancel the surface terms arising in the gravitational action is calculated for gravity theories derived from lagrangians which are arbitrary analytic functions of the scalar curvature when the space-time is maximally symmetric.

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