Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2000-01-28
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
16 pages Latex, no figures. Short version of gr-qc/0001101. (The "original" version was a duplicate of gr-qc/0001101 created b
Scientific paper
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.
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