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Stability properties of gravity theories

  • S. Deser
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 160)

Abstract

We study the stability properties of general relativity with a non-vanishing cosmo logical constant A by means of the energy. First, it is shown that there exists a suitable definition of energy in these models, for all metrics tending asymptotically to any background solution which has a timelike Killing symmetry. It is conserved and has flux integral form. Stability is established for all systems tending asymptotically to anti-De Sitter space when A < 0, using supergravity techniques. Spinorial charges are defined which are also flux integrals and satisfy the global graded anti-De Sitter algebra. The latter then implies. that the energy is always positive. For A > 0, it is shown that small excitations about De Sitter space are stable, provided they occur within the event horizon intrinsic to this space. Outside the horizon an instability arises which signals the onset of Hawking radiation; it is shown to be universal to all systems. Semi-classical stability is also discussed for A > 0.

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Copyright information

© Springer-Verlag 1982

Authors and Affiliations

  • S. Deser
    • 1
  1. 1.CERN, Theory DivisionGeneva 23Switzerland

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