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Phys. Rev. Lett. 85, 2236–2239 (2000)

Reconstruction of a Scalar-Tensor Theory of Gravity in an Accelerating Universe

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B. Boisseau1, G. Esposito-Farèse2,3, D. Polarski1,3, and A. A. Starobinsky4,5
1Laboratoire de Mathématique et Physique Théorique, UPRES-A 6083 CNRS, Université de Tours, Parc de Grandmont, F 37200 Tours, France
2Centre de Physique Théorique, CNRS Luminy, Case 907, F 13288 Marseille Cedex 9, France
3Département d'Astrophysique Relativiste et de Cosmologie, Observatoire de Paris-Meudon, F 92195 Meudon Cedex, France
4Landau Institute for Theoretical Physics, 117334 Moscow, Russia
5Newton Institute for Mathematical Sciences, University of Cambridge, Cambridge CB3 0EH, United Kingdom

Received 21 January 2000; published in the issue dated 11 September 2000

The present acceleration of the Universe strongly indicated by recent observational data can be modeled in the scope of a scalar-tensor theory of gravity. We show that it is possible to determine the structure of this theory along with the present density of dustlike matter from two observable cosmological functions: the luminosity distance and the linear density perturbation in the dustlike matter component as functions of redshift. Explicit results are presented in the first order in the small inverse Brans-Dicke parameter ω-1.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.85.2236
DOI:
10.1103/PhysRevLett.85.2236
PACS:
98.80.Cq, 04.50.+h