The strong equivalence principle from a gravitational gauge structure
Gérard, Jean-Marc
(2007) Classical and Quantum Gravity — Vol. 24, n° 7, p. 1867 (2007)
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Gérard, Jean-MarcUCLouvain
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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.
Gérard, J.-M. (2007). The strong equivalence principle from a gravitational gauge structure. Classical and Quantum Gravity, 24(7), 1867. https://doi.org/10.1088/0264-9381/24/7/012 (Original work published 2007)