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Phys. Rev. D 74, 104017 (2006) [4 pages]

Matter instability in modified gravity

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Valerio Faraoni*
Physics Department, Bishop’s University, Sherbrooke, Quèbec, Canada J1M 0C8

Received 23 August 2006; published 14 November 2006

The Dolgov-Kawasaki instability discovered in the matter sector of the modified gravity scenario incorporating a -μ4/R correction to Einstein gravity is studied in general f(R) theories. A stability condition is found in the metric version of these theories to help ruling out models that are unviable from the theoretical point of view. For example, the theories f(R)=R+αμ2(n+1)/Rn, where α and n are real constants and n>0, are ruled out for any negative value of α.

© 2006 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.74.104017
DOI:
10.1103/PhysRevD.74.104017
PACS:
04.50.+h, 04.90.+e, 98.80.−k

*Electronic address: vfaraoni@ubishops.ca