Nordstrom's scalar theory of gravity and the equivalence principle

Abstract

Nordstrom'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 'Nordstrom-Katz' superpotential.

References in corpus (4)

• Energy in Generic Higher Curvature Gravity Theories
• New Energy Definition for Higher Curvature Gravities
• Conserved Charges in Einstein Gauss-Bonnet theory
• Superpotentials from variational derivatives rather than Lagrangians in relativistic theories of gravity

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