Inflation in asymptotically safe f(R) theory

Details Inflation in asymptotically safe f(R) theory Inflation in asymptotically safe f(R) theory

2011-03-16

arxiv.org/abs/1103.3149v1

J.Phys.Conf.Ser.283:012009,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Presented at 14th Conference on Recent Developments in Gravity: NEB 14, Ioannina, Greece, 8-11 Jun 2010

Scientific paper

10.1088/1742-6596/283/1/012009

We discuss the existence of inflationary solutions in a class of renormalization group improved polynomial f(R) theories, which have been studied recently in the context of the asymptotic safety scenario for quantum gravity. These theories seem to possess a nontrivial ultraviolet fixed point, where the dimensionful couplings scale according to their canonical dimensionality. Assuming that the cutoff is proportional to the Hubble parameter, we obtain modified Friedmann equations which admit both power law and exponential solutions. We establish that for sufficiently high order polynomial the solutions are reliable, in the sense that considering still higher order polynomials is very unlikely to change the solution.

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