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gr-qc2017
Shear and vorticity of perfect-fluid spacetimes and the shear-free conjecture
Carlo Alberto Mantica, Luca Guido Molinari
We obtain expressions for the shear and the vorticity tensors of perfect-fluid spacetimes, in terms of the divergence of the Weyl tensor. For such spacetimes, we prove that if the…
math-ph2017
Simple conformally recurrent space-times are conformally recurrent PP-waves
Carlo Alberto Mantica, Luca Guido Molinari
We show that in dimension n>3 the class of simple conformally recurrent space-times coincides with the class of conformally recurrent pp-waves.