Stability of gravity with a cosmological constant

Details Stability of gravity with a cosmological constant Stability of gravity with a cosmological constant

Feb 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982nuphb.195...76a&link_type=abstract

Nuclear Physics B, Volume 195, Issue 1, p. 76-96.

Physics

Nuclear Physics

477

Scientific paper

The stability properties of Einstein theory with a cosmological constant Λ are investigated. For Λ > 0, stability is established for small fluctuations, about the de Sitter background, occurring inside the event horizon and semiclassical stability is analyzed. For Λ < 0, stability is demonstrated for all asymptotically anti-de Sitter metrics. The analysis is based on the general construction of conserved flux-integral expressions associated with the symmetries of a chosen background. The effects of an event horizon, which lead to Hawking radiation, are expressedfor general field hamiltonians. Stability for Λ < 0 is proved, using supergravity techniques, in terms of the graded anti-de Sitter algebra with spinorial charges also expressed as flux integrals.
Supported in part by NSF grant PHY-78-09644 A02.

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