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Related Experiment Videos

The gravity Lagrangian according to solar system experiments.

Gonzalo J Olmo1

  • 1Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC, Universidad de Valencia, Spain. gonzalo.olmo@uv.es

Physical Review Letters
|February 21, 2006
PubMed
Summary

The gravity Lagrangian is a bounded function at low curvatures, constrained by observational data. Nonlinear f(R)gravity theories dominating at low curvatures conflict with these constraints, invalidating them as explanations for cosmic speedup.

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Area of Science:

  • Cosmology
  • Gravitational Physics
  • General Relativity

Background:

  • f(R)gravity theories propose modifications to Einstein's theory of gravity.
  • These theories are investigated as potential explanations for cosmic acceleration.
  • Observational constraints from the solar system and laboratory experiments are crucial for testing gravitational theories.

Purpose of the Study:

  • To analyze the behavior of the gravity Lagrangian at low curvatures.
  • To determine the compatibility of modified gravity theories with observational constraints.
  • To evaluate the validity of nonlinear f(R)gravity as a mechanism for cosmic speedup.

Main Methods:

  • Analysis of the gravity Lagrangian in metric and Palatini formalisms.
  • Derivation of bounds on the Lagrangian using observational inequalities.

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  • Comparison of theoretical predictions with solar system and laboratory data.

    • Main Results:

    • The gravity Lagrangian is shown to be a bounded function at low curvatures.
    • Deviations from linearity are restricted by well-defined functions derived from observational constraints.
    • Nonlinear f(R)gravity theories with dominant low-curvature nonlinearities are found to be incompatible with observations.

    Conclusions:

    • The study invalidates recently proposed f(R)gravity theories that dominate at low curvatures.
    • These theories cannot explain the observed cosmic speedup due to observational conflicts.
    • The findings emphasize the importance of adhering to observational constraints in developing modified gravity theories.