2001/04/04 by I. Schmelzer, Schmelzer, I. · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Relativity and Gravitational Theory #gr-qc
paper · pdf · doi:10.48550/arxiv.gr-qc/0104013
22 pages Latex, no figures. More detailed version of parts of gr-qc/0001101
arxiv created 2001/04/04 · openalex publication_date 2001/04/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 ∂t ρ+ ∂i (ρvi) = 0 ∂t (ρvj) + ∂i (ρvi vj + pij) = 0 We show that for an algebraically defined ``effective Lorentz metric'' gμν and ``effective matter fields'' ϕthese theories are equivalent to material models of a metric theory of gravity with Lagrangian L = LGR + Lmatter - (8πG)-1(Υg00-Ξ(g11+g22+g33))√(-g) which fulfils the Einstein equivalence principle and leads to the Einstein equations in the limit Ξ,Υ→ 0.