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A Metric Theory of Gravity with Condensed Matter Interpretation

I. Schmelzer
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Abstract

We present a metric theory of gravity with Lagrangian L = (8πG)^{-1}(Ξg^{ii} - Υg^{00})\sqrt{-g} + L_{GR} + L_{matter} motivated by classical equations \partial_t ρ+ \partial_i (ρv^i) = 0 \partial_t (ρv^j) + \partial_i (ρv^i v^j + p^{ij}) = 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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I. Schmelzer. 2000-01-28. A Metric Theory of Gravity with Condensed Matter Interpretation. https://arxiv.org/abs/gr-qc/0001096

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