The Gravity Lagrangian According to Solar System Experiments

Gonzalo J. Olmo
Phys. Rev. Lett. 95, 261102 – Published 23 December 2005

Abstract

In this work we show that the gravity Lagrangian f(R) at relatively low curvatures in both metric and Palatini formalisms is a bounded function that can only depart from the linearity within the limits defined by well-known functions. We obtain those functions by analyzing a set of inequalities that any f(R) theory must satisfy in order to be compatible with laboratory and solar system observational constraints. This result implies that the recently suggested f(R) gravity theories with nonlinear terms that dominate at low curvatures are incompatible with observations and, therefore, cannot represent a valid mechanism to justify the cosmic speedup.

  • Received 24 May 2005

DOI:https://doi.org/10.1103/PhysRevLett.95.261102

©2005 American Physical Society

Authors & Affiliations

Gonzalo J. Olmo*

  • Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC, Universidad de Valencia, Burjassot-46100, Valencia, Spain
  • Physics Department, University of Wisconsin-Milwaukee, P.O. Box 413, Milwaukee, Wisconsin 53201, USA

  • *Electronic address: gonzalo.olmo@uv.es

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Issue

Vol. 95, Iss. 26 — 31 December 2005

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