A Metric Theory of Gravity with Condensed Matter Interpretation
Abstract
Description
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.
9 pages Latex, no figures
9 pages Latex, no figures