Auxiliary fields representation for modified gravity models

Details Auxiliary fields representation for modified gravity models Auxiliary fields representation for modified gravity models

2011-01-26

arxiv.org/abs/1101.5028v2

Phys.Rev.D83:084028,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Added a few comments on quantum properties and a new section about quantum UV completion of the classically equivalent theorie

Scientific paper

10.1103/PhysRevD.83.084028

We consider tensor-multiscalar representations for several types of modified gravity actions. The first example is the theory with the action representing an arbitrary smooth function of the scalar curvature R and (Box R), the integrand of the Gauss-Bonnet term and the square of the Weyl tensor. We present a simple procedure leading to an equivalent theory of a space-time metric and four auxiliary scalars and specially discuss calibration of a cosmological constant and the condition of the existence of dS-like solutions in the case of empty universe. The condition for obtaining a smaller number of independent scalar fields is derived. The second example is the Eddington-like gravity action. In this case we show, in particular, the equivalence of the theory to GR with the cosmological constant term, with or without use of the first-order formalism, and also discuss some possible generalizations.

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