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Phys. Rev. D 72, 124005 (2005) [10 pages]

Stability of modified gravity models

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Valerio Faraoni and Shahn Nadeau
Physics Department, Bishop’s University, Lennoxville, Quebec, Canada J1M 1Z7

Received 2 October 2005; published 8 December 2005

Conditions for the existence and stability of de Sitter space in modified gravity are derived by considering inhomogeneous perturbations in a gauge-invariant formalism. The stability condition coincides with the corresponding condition for stability with respect to homogeneous perturbations, while this is not the case in scalar-tensor gravity. The stability criterion is applied to various modified gravity models of the early and the present universe.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.72.124005
DOI:
10.1103/PhysRevD.72.124005
PACS:
04.50.+h, 98.80.−k