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

Matter instability in modified gravity

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+alphaµ2(n+1)/Rn, where alpha and n are real constants and n>0, are ruled out for any negative value of alpha.

©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
  • 04.50.+h
    Gravity in more than four dimensions, Kaluza–Klein theory, unified field theories; alternative theories of gravity
  • 04.90.+e
    Other topics in general relativity and gravitation (restricted to new topics in section 04)
  • 98.80.-k
    Cosmology
  • YEAR: 2006
KEYWORDS: gravitation, general relativity, cosmology, supernovae, radiofrequency cosmic radiation, dark energy

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