Scalar-tensor gravity in an accelerating universe

Details Scalar-tensor gravity in an accelerating universe Scalar-tensor gravity in an accelerating universe

2000-09-11

arxiv.org/abs/gr-qc/0009034v1

Phys.Rev. D63 (2001) 063504

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

37 pages, LaTeX 2.09, REVTeX 3.0, uses epsf.tex to include 6 postscript figures

Scientific paper

10.1103/PhysRevD.63.063504

We consider scalar-tensor theories of gravity in an accelerating universe. The equations for the background evolution and the perturbations are given in full generality for any parametrization of the Lagrangian, and we stress that apparent singularities are sometimes artifacts of a pathological choice of variables. Adopting a phenomenological viewpoint, i.e., from the observations back to the theory, we show that the knowledge of the luminosity distance as a function of redshift up to z ~ (1-2), which is expected in the near future, severely constrains the viable subclasses of scalar-tensor theories. This is due to the requirement of positive energy for both the graviton and the scalar partner. Assuming a particular form for the Hubble diagram, consistent with present experimental data, we reconstruct the microscopic Lagrangian for various scalar-tensor models, and find that the most natural ones are obtained if the universe is (marginally) closed.

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