Gravitational duality near de Sitter space | Zendy

B. Juliá | Zendy; Jérôme Levie | Zendy; Sébastien Ray | Zendy

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Gravitational duality near de Sitter space

Author(s) -

B. Juliá,

Jérôme Levie,

Sébastien Ray

Publication year - 2005

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2005/11/025

Subject(s) - physics , mathematical physics , de sitter universe , de sitter space , cosmological constant , instanton , duality (order theory) , hamiltonian (control theory) , gravitation , classical mechanics , quantum mechanics , pure mathematics , mathematics , mathematical optimization , universe

Gravitational instantons ''Lambda-instantons'' are defined here for any givenvalue Lambda of the cosmological constant. A multiple of the Eulercharacteristic appears as an upper bound for the de Sitter action and as alower bound for a family of quadratic actions. The de Sitter action itself isfound to be equivalent to a simple and natural quadratic action. In this paperwe also describe explicitly the reparameterization and duality invariances ofgravity (in 4 dimensions) linearized about de Sitter space. A noncovariantdoubling of the fields using the Hamiltonian formalism leads to first ordertime evolution with manifest duality symmetry. As a special case we recover thelinear flat space result of Henneaux and Teitelboim by a smooth limitingprocess.Comment: 13 pages, no figure - v2 contains only small redactional changes (one reference added) and is essentially the published versio

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