Asymptotics of flat, radiation universes in quadratic gravity

Details Asymptotics of flat, radiation universes in quadratic gravity Asymptotics of flat, radiation universes in quadratic gravity

2007-03-06

arxiv.org/abs/gr-qc/0703043v2

Phys.Lett.B651:341-344,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, latex; v2: 10 pages, explanations and two references added, version to appear in Phys. Lett. B

Scientific paper

10.1016/j.physletb.2007.06.038

We consider the asymptotics of flat, radiation-dominated isotropic universes in four-dimensional theories with quadratic curvature corrections which may arise when contributions related to the string parameter $\alpha'$ are switched on. We show that all such universes are singular initially, and calculate all early time asymptotics using the method of asymptotic splittings. We also examine the late time asymptotic behaviour of these models and show that there are no solutions which diverge as $e^{t^2}$, the known radiation solution of general relativity is essentially the only late time asymptotic possibility in these models.

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