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Conservation Laws and Preferred Frames in Relativistic Gravity. I. Preferred-Frame Theories and an Extended PPN Formalism

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1972

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TLDR

Preferred‑frame theories challenge the equivalence principle by introducing a universal rest frame, motivating extensions to the Parametrized Post‑Newtonian formalism. The paper aims to revise and extend the PPN formalism to accommodate preferred‑frame theories. The authors regroup existing PPN parameters into a new set that classifies gravity theories by curvature, nonlinearity, preferred‑frame existence, and momentum conservation, and they derive additional metric terms needed to analyze preferred‑frame theories from any reference frame. They find that the added metric terms depend on the observer’s velocity relative to the preferred universal rest frame. Published in The Astrophysical Journal (Nov 1972, DOI 10.1086/151754).

Abstract

view Abstract Citations (412) References (26) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS Conservation Laws and Preferred Frames in Relativistic Gravity. I. Preferred-Frame Theories and an Extended PPN Formalism Will, Clifford M. ; Nordtvedt, Kenneth, Jr. Abstract We present and discuss a revised version of the Parametrized Post-Newtonian (PPN) Formalism. By regrouping the old PPN parameters, we obtain a new set of parameters which are used to classify theories of gravity according to four attributes; curvature of space-geometry, nonlinearity of gravity, existence of a preferred Universal rest-frame, and validity of conservation laws for momentum. We study a variety of preferred-frame theoiies of gravity, and show that new terms must be added to the PPN metric in order to analyze such prdened-frame theories from any chosen frame of reference. These new terms depend on the velocity of the observer's chosen frame relative to the preferred Universal rest-frame singled out by such theories. Publication: The Astrophysical Journal Pub Date: November 1972 DOI: 10.1086/151754 Bibcode: 1972ApJ...177..757W full text sources ADS | Related Materials (1) Part 2: 1972ApJ...177..775N