Physical non-equivalence of the Jordan and Einstein frames

2010/03/31 by S. Capozziello, Salvatore Capozzıello, P. Martin-Moruno +2
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #astro-ph.CO #gr-qc #hep-th

paper · pdf · doi:10.1016/j.physletb.2010.04.058

published as Phys.Lett.B689:117-121,2010 · 7 pages, 3 figures

arxiv created 2010/04/27 · openalex publication_date 2010/04/28 · arxiv updated 2010/05/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/02

Abstract

We show, considering a specific f(R)-gravity model, that the Jordan frame and the Einstein frame could be physically non-equivalent, although they are connected by a conformal transformation which yields a mathematical equivalence. Calculations are performed analytically and this non-equivalence is shown in an unambiguous way. However this statement strictly depends on the considered physical quantities that have to be carefully selected.

Citations

• Measurements of Ω and Λ from 42 High‐Redshift Supernovae
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
• Cosmological parameter analysis including SDSS Lyαforest and galaxy bias: Constraints on the primordial spectrum of fluctuations, neutrino mass, and dark energy