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arXiv · hep-th/0507262

Gravitational duality near de Sitter space

Bernard Julia·Jerome Levie·Sebastien Ray
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Abstract

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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Bernard Julia, Jerome Levie, Sebastien Ray. 2008-02-19. Gravitational duality near de Sitter space. https://doi.org/10.1088/1126-6708%2F2005%2F11%2F025

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