Cosmological hydrodynamics with relativistic pressure and velocity

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.

13 pages, no figure. Three new subsections (2.8-2.10) are added

References in corpus (3)

• Special relativistic hydrodynamics with gravitation
• Exact non-linear equations for cosmological perturbations
• Fully nonlinear and exact perturbations of the Friedmann world model: Non-flat background

Cited by in corpus (2)

• Gravitational effects on fluid dynamics in cosmological first-order phase transitions
• Special Relativistic Magnetohydrodynamics with Gravitation