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.
 Publication:

arXiv eprints
 Pub Date:
 January 2000
 arXiv:
 arXiv:grqc/0001095
 Bibcode:
 2000gr.qc.....1095S
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 16 pages Latex, no figures. Short version of grqc/0001101. (The "original" version was a duplicate of grqc/0001101 created by a mistake.)