Conformal time dependent Painleve-Gullstrand spacetime

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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8 pages, no figures, one chapter added, new refs

Scientific paper

The properties of an anisotropic fluid outside a star or a black hole embedded in an expanding universe are investigated. One finds that, in Painleve-Gullstrand coordinates, the heat flux of the cosmological fluid vanishes, in spite of the nonzero value of a non-diagonal component of the stress tensor. The pressures and energy density of the fluid are regular at $r = 2m$, divergent at $r = 0$ and change sign at certain values of their arguments.

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