A theory of gravity with preferred frame and condensed matter interpretation

Details A theory of gravity with preferred frame and condensed matter interpretation A theory of gravity with preferred frame and condensed matter interpretation

2010-03-07

arxiv.org/abs/1003.1446v1

Physics

General Physics

Scientific paper

Does relativistic gravity provide empirical arguments against theories with a preferred frame like de Broglie-Bohm pilot wave theory? We present here a viable metric theory of gravity with preferred frame which gives a negative answer to this question. The theory has the same equations as Logunov's "relativistic theory of gravity" (RTG) but a less restrictive causality condition. It has not only a preferred frame, but allows even a condensed matter interpretation -- a variant of the ADM decomposition splits the metric into density, velocity and stress tensor of some hypothetical medium so that continuity and Euler equations hold. The theory shares many nice properties of RTG (EEP, Einstein equations in a natural limit, no big bang and black hole singularities, local energy and momentum densities for the gravitational field and a symmetry preference for a flat universe), but is also compatible with standard $\Lambda$CDM cosmology. We also give a first principles derivation of the Lagrangian.

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