Constraining Newtonian stellar configurations in f(R) theories of gravity

2007/09/30 by Tuomas Multamäki, T. Multamaki, Iiro Vilja +1 · 3 citations
Earth and Planetary Sciences · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Geophysics and Gravity Measurements #astro-ph #gr-qc

paper · pdf · doi:10.1016/j.physletb.2007.12.022

published as Phys.Lett.B659:843-846,2008 · 4 pages; v2: added references, modified abstract and introduction, conclusions unchanged

arxiv created 2007/10/03 · openalex publication_date 2008/01/02 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We consider general metric f(R) theories of gravity by solving the field equations in the presence of a spherical static mass distribution by analytical perturbative means. Expanding the field equations systematically in \cO(G), we solve the resulting set of equations and show that f(R) theories which attempt to solve the dark energy problem very generally lead to γ_PPN=1/2 in the solar system. This excludes a large class of theories as possible explanations of dark energy. We also present the first order correction to γ_PPN and show that it cannot have a significant effect.

Citations

• Newton law corrections and instabilities in f(R) gravity with the effective cosmological constant epoch
• Spherically symmetric spacetimes inf(R)gravity theories
• Curvature Quintessence

Cited by

• Can higher curvature corrections cure the singularity problem inf(R)gravity?
• Thin accretion disks inf(R)modified gravity models
• f(R)theories of gravity