Constraints on Non-Singular Cosmological Models with Quadratic Lagrangians

Details Constraints on Non-Singular Cosmological Models with Quadratic Lagrangians Constraints on Non-Singular Cosmological Models with Quadratic Lagrangians

2002-05-07

arxiv.org/abs/gr-qc/0205024v1

Published in the Proceedings of the Ninth Marcel Grossmann Meeting on General Relativity, edited by R.T. Jantzen, V. Gurzadyan

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, RevTeX, 3 Postscript figures

Scientific paper

We consider the generalized set of theories of gravitation whose Lagrangians contain the term $R^{2}$ : $L=\sqrt{-g}(R+\beta R^{2})$. Inserting the RW metric with an imposed non-singular and inflationary behaviour of the scale factor $a(t)$, and using a arbitrary perfect fluid, we study the properties of $\rho $ and $p$ in this context. By requiring the positivity of the energy density, as well as real and finite velocity of sound, we can obtain the range of values of $\beta $ that ensure the inflationary behaviour and absence of singularity.

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