Self-Gravitating Bjorken Flow

Details Self-Gravitating Bjorken Flow Self-Gravitating Bjorken Flow

2012-03-27

arxiv.org/abs/1203.5873v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages

Scientific paper

I present a solution to the full Einstein-fluid equations representing a self-gravitating Bjorken flow. The motion and the geometry become inhomogeneous in the plane transversal to the flow and the energy density profile acquires, due to gravity, corrections in terms of proper time as compared to the original test hydrodynamics. The transverse distribution of energy density, for example, becomes $\epsilon(\tau,r)/\epsilon(\tau,0)\,=\, \cosh^{-4}{(3ar)}$

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