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Nordström's scalar theory of gravity and the equivalence principle
Deruelle N.
General Relativity and Gravitation 43 (2011) 3337-3354 - http://hal.archives-ouvertes.fr/hal-00740757
Physique/Relativité Générale et Cosmologie Quantique
Nordström's scalar theory of gravity and the equivalence principle
N. Deruelle1
1 :  APC - UMR 7164 - AstroParticule et Cosmologie
CNRS : UMR7164 – IN2P3 – Observatoire de Paris – Université Paris VII - Paris Diderot – CEA : DSM/IRFU
APC - UMR 7164, Université Paris Diderot, 10 rue Alice Domon et Léonie Duquet, case postale 7020, F-75205 Paris Cedex 13
General Relativity obeys the three equivalence principles, the "weak" one (all test bodies fall the same way in a given gravitational field), the "Einstein" one (gravity is locally effaced in a freely falling reference frame) and the "strong" one (the gravitational mass of a system equals its inertial mass to which all forms of energy, including gravitational energy, contribute). The first principle holds because matter is minimally coupled to the metric of a curved spacetime so that test bodies follow geodesics. The second holds because Minkowskian coordinates can be used in the vicinity of any event. The fact that the latter, strong, principle holds is ultimately due to the existence of superpotentials which allow to define the inertial mass of a gravitating system by means of its asymptotic gravitational field, that is, in terms of its gravitational mass. Nordström's theory of gravity, which describes gravity by a scalar field in flat spacetime, is observationally ruled out. It is however the only theory of gravity with General Relativity to obey the strong equivalence principle. I show in this paper that this remarkable property is true beyond post-newtonian level and can be related to the existence of a "Nordström-Katz" superpotential.

General Relativity and Gravitation (Gen. Relativ. Gravit.)
Publisher Springer Verlag (Germany)
ISSN 0001-7701 (eISSN : 1572-9532)
Articles dans des revues avec comité de lecture

Equivalence principle – Nordström theory – Superpotential
From the issue entitled "Special issue: Physics, gravity, and the work of Joshua Goldberg"

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