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Phys. Rev. D 63, 127301 (2001) [4 pages]

Friedmann equation and stability of inflationary higher derivative gravity

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W. F. Kao*
Institute of Physics, Chiao Tung University, Hsinchu, Taiwan

Ue-Li Pen
Canadian Institute for Theoretical Astrophysics, University of Toronto, Toronto, Ontario, Canada M5S 3H8

Pengjie Zhang
Astronomy Department, University of Toronto, Toronto, Ontario, Canada M5S 3H8

Received 1 June 1999; published 22 May 2001

A stability analysis of the de Sitter universe in pure gravity theory is known to be useful in many aspects. We first show how to complete the proof of an earlier argument based on a redundant field equation. It is shown further that the stability condition applies to k0 Friedmann-Robertson-Walker spaces based on the nonredundant Friedmann equation derived from a simple effective Lagrangian. We show how to derive this expression for the Friedmann equation of pure gravity theory. This expression is also generalized to include scalar field interactions.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.63.127301
DOI:
10.1103/PhysRevD.63.127301
PACS:
98.80.Cq, 04.20.Cv

*Email address: wfgore@cc.nctu.edu.tw

Email address: pen@cita.utoronto.ca

Email address: zhangpj@cita.utoronto.ca