Gravitational duality near de Sitter space

Details Gravitational duality near de Sitter space Gravitational duality near de Sitter space

2005-07-27

arxiv.org/abs/hep-th/0507262v2

JHEP 0511 (2005) 025

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, no figure - v2 contains only small redactional changes (one reference added) and is essentially the published versio

Scientific paper

10.1088/1126-6708/2005/11/025

Gravitational instantons ''Lambda-instantons'' are defined here for any given value Lambda of the cosmological constant. A multiple of the Euler characteristic appears as an upper bound for the de Sitter action and as a lower bound for a family of quadratic actions. The de Sitter action itself is found to be equivalent to a simple and natural quadratic action. In this paper we also describe explicitly the reparameterization and duality invariances of gravity (in 4 dimensions) linearized about de Sitter space. A noncovariant doubling of the fields using the Hamiltonian formalism leads to first order time evolution with manifest duality symmetry. As a special case we recover the linear flat space result of Henneaux and Teitelboim by a smooth limiting process.

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