A Metric Theory of Gravity with Condensed Matter Interpretation
I. Schmelzer
Abstract
We present a metric theory of gravity with Lagrangian L = (8πG)-1(Ξgii - Υg00)-g + LGR + Lmatter motivated by classical equations ∂t ρ+ ∂i (ρvi) = 0 ∂t (ρvj) + ∂i (ρvi vj + pij) = 0 for a medium in Newtonian space-time. We obtain stable ``frozen stars'' instead of black holes and a ``big bounce'' instead of a big bang singularity.
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