Parametrized post-Newtonian limit of fourth-order theories of gravity

2008/01/07 by Timothy Clifton · 1 citation
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #astro-ph #gr-qc

paper · pdf · doi:10.1103/physrevd.77.024041

published as Phys.Rev.D77:024041,2008 · 12 pages

arxiv created 2008/01/07 · openalex publication_date 2008/01/28 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/04

Abstract

We determine the full post-Newtonian limit of theories of gravity that extend general relativity by replacing the Ricci scalar, R, in the generating Lagrangian by some analytic function, f(R). We restrict ourselves to theories that admit Minkowski space as a suitable background, and perform a perturbative expansion in the manner prescribed by the parametrized post-Newtonian formalism. Extra potentials are found to be present that are not accounted for in the usual treatment, and a discussion is provided on how they may be used to observationally distinguish these theories from general relativity at the post-Newtonian level.

Citations

• Newtonian limit off(R)gravity
• Newton law corrections and instabilities in f(R) gravity with the effective cosmological constant epoch
• Mach's Principle and a Relativistic Theory of Gravitation
• Unifying inflation with LambdaCDM epoch in modified f(R) gravity consistent with Solar System tests
• The Gravity Lagrangian According to Solar System Experiments
• Renormalization of higher-derivative quantum gravity
• Equivalence Principle for Massive Bodies. II. Theory

Cited by

• f(R)theories of gravity