Abstract

We pursue a (1+3)‐covariant analysis of cosmological peculiar velocity of pressure‐free matter induced by the matter density perturbations in modified f(R) gravity theories. Instead of working in a quasi‐Newtonian Eulerian frame, we select a curvature comoving Lagrangian frame, which means the shear and heat energy flux are non‐zero. This is part of ongoing work on the end‐structure of a generic over‐density in f(R) gravity.

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