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Derivation of the Einstein Equivalence Principle in a Class of Condensed Matter Theories | | I. Schmelzer
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4 Apr 2001 | | Subject: | gr-qc | | Abstract: | We consider a class of condensed matter theories in a Newtonian framework with a Lagrange formalism related in a natural way with the classical conservation laws partial_t
ho + partial_i (
ho v^i) = 0 partial_t (
ho v^j) + partial_i (
ho v^i v^j + p^{ij}) = 0 We show that for an algebraically defined ``effective Lorentz metric’’ g_{mu
u} and ``effective matter fields’’ phi these theories are equivalent to material models of a metric theory of gravity with Lagrangian L = L_{GR} + L_{matter} - (8pi G)^{-1}(Upsilon g^{00}-Xi (g^{11}+g^{22}+g^{33}))sqrt{-g} which fulfils the Einstein equivalence principle and leads to the Einstein equations in the limit Xi,Upsilon o 0. | | Source: | arXiv, gr-qc/0104013 | | Services: | Forum | Review | PDF | Favorites | |
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