A Metric Theory of Gravity with Condensed Matter Interpretation
Abstract
We consider a classical condensed matter theory in a Newtonian framework where conservation laws \partial_t \rho + \partial_i (\rho v^i) = 0 \partial_t (\rho v^j) + \partial_i(\rho v^i v^j + p^{ij}) = 0 are related with the Lagrange formalism in a natural way. For an ``effective Lorentz metric'' g_{\mu\nu} it is equivalent to a metric theory of gravity close to general relativity with Lagrangian L = L_{GR} - (8\pi G)^{-1}(\Upsilon g^{00}-\Xi (g^{11}+g^{22}+g^{33}))\sqrt{-g} We consider the differences between this theory and general relativity (no nontrivial topologies, stable frozen stars instead of black holes, big bounce instead of big bang singularity, a dark matter term), quantum gravity, and the connection with realism and Bohmian mechanics.
Keywords
Cite
@article{arxiv.gr-qc/0001095,
title = {A Metric Theory of Gravity with Condensed Matter Interpretation},
author = {I. Schmelzer},
journal= {arXiv preprint arXiv:gr-qc/0001095},
year = {2007}
}
Comments
16 pages Latex, no figures. Short version of gr-qc/0001101. (The "original" version was a duplicate of gr-qc/0001101 created by a mistake.)