The strong equivalence principle from a gravitational gauge structure

2006/07/31 by Jean-Marc Gerard, J-M Gérard · 2 citations
Physics and Astronomy · #Cosmology and Gravitation Theories #Pulsars and Gravitational Waves Research #Relativity and Gravitational Theory #gr-qc #hep-ph

paper · pdf · doi:10.1088/0264-9381/24/7/012

published as Class.Quant.Grav.24:1867-1878,2007 · 12 pages, 1 figure. Added discussions and references

openalex publication_date 2007/03/20 · arxiv created 2007/05/22 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

Gravitational self-interactions are assumed to be determined by the covariant derivative acting on the Riemann–Christoffel field strength. Once imposed on a metric theory, this Yang–Mills gauge constraint extends the equality of gravitational mass and inertial mass to compact bodies with non-negligible gravitational binding energy. Applied to generalized Brans–Dicke theories, it singles out Einstein's tensor theory and Nordström scalar theory for gravity but also suggests a way to implement a minimal violation of the strong equivalence principle.

Citations

• Mach's Principle and a Relativistic Theory of Gravitation
• Zur Theorie der Gravitation vom Standpunkt des Relativitätsprinzips
• A new improved energy-momentum tensor
• Conservation of Isotopic Spin and Isotopic Gauge Invariance

Cited by

• Nonequilibrium thermodynamics of spacetime: The role of gravitational dissipation
• The tetralogy of Birkhoff theorems