caa a22 4500 445386274 CHVBK 20180317143033.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1007/s10714-011-1247-x doi (NATIONALLICENCE)springer-10.1007/s10714-011-1247-x Deruelle Nathalie Université Paris 7, APC, UMR 7164 du CNRS, 75205, Paris Cedex 13, France aut Nordström's scalar theory of gravity and the equivalence principle [Elektronische Daten] [Nathalie Deruelle] 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. Springer Science+Business Media, LLC, 2011 Equivalence principle nationallicence Nordström theory nationallicence Superpotential nationallicence General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/12(2011-12-01), 3337-3354 0001-7701 43:12<3337 2011 43 10714 https://doi.org/10.1007/s10714-011-1247-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10714-011-1247-x text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Deruelle Nathalie Université Paris 7, APC, UMR 7164 du CNRS, 75205, Paris Cedex 13, France aut NATIONALLICENCE 773 0- General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/12(2011-12-01), 3337-3354 0001-7701 43:12<3337 2011 43 10714 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer