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Cosmological hydrodynamics with relativistic pressure and velocity

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We present hydrodynamic equations with relativistic pressure and velocity in the presence of weak gravity, in a cosmological context. Previously we consistently derived special relativistic hydrodynamic equations with weak gravity… Click to show full abstract

We present hydrodynamic equations with relativistic pressure and velocity in the presence of weak gravity, in a cosmological context. Previously we consistently derived special relativistic hydrodynamic equations with weak gravity in Minkowski background. With the relativistic pressure and velocity one cannot derive the cosmological counterpart by a simple transformation from equations in the Minkowski background. Here we present a proper derivation. We point out the potential importance of relativistic pressure and velocity in gravitational lensing.

Keywords: cosmological hydrodynamics; pressure velocity; relativistic pressure

Journal Title: Journal of Cosmology and Astroparticle Physics
Year Published: 2018

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