Conformally flat metrics with anisotropic pressure
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A particular class of conformally flat spacetimes possessing isotropic and anisotropic pressure are investigated, using \(1+3\) formalism. We specialize the \(1+3\) equations obtained for the respective class of spacetimes to a compatible and simple equation of state where the energy per particle depends only on the particle density and the shear scalar.
KeywordsElasticity General relativity Conformally flat spacetimes
IB thanks CMAT, Univ. Minho, for support through FCT Projects Est-OE/MAT/UI0013/2014 and PTDC/MAT-ANA/1275/2014.