Quantum Cosmology and Higher-Order Lagrangian Theories

Details Quantum Cosmology and Higher-Order Lagrangian Theories Quantum Cosmology and Higher-Order Lagrangian Theories

1994-04-25

arxiv.org/abs/gr-qc/9404044v1

Class.Quant.Grav.11:2483-2498,1994

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, LaTeX, preprint FERMILAB-Pub-94/XXX-A, March 1994

Scientific paper

10.1088/0264-9381/11/10/008

In this paper the quantum cosmological consequences of introducing a term cubic in the Ricci curvature scalar $R$ into the Einstein--Hilbert action are investigated. It is argued that this term represents a more generic perturbation to the action than the quadratic correction usually considered. A qualitative argument suggests that there exists a region of parameter space in which neither the tunneling nor the no-boundary boundary conditions predict an epoch of inflation that can solve the horizon and flatness problems of the big bang model. This is in contrast to the $R^2$--theory.

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