Spherically symmetric dissipative anisotropic fluids: A general study

Details Spherically symmetric dissipative anisotropic fluids: A general study Spherically symmetric dissipative anisotropic fluids: A general study

2004-02-29

arxiv.org/abs/gr-qc/0403006v1

Phys.Rev.D69:084026,2004

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

28 pages Latex. To appear in Phys.Rev.D

Scientific paper

10.1103/PhysRevD.69.084026

The full set of equations governing the evolution of self--gravitating spherically symmetric dissipative fluids with anisotropic stresses is deployed and used to carry out a general study on the behaviour of such systems, in the context of general relativity. Emphasis is given to the link between the Weyl tensor, the shear tensor, the anisotropy of the pressure and the density inhomogeneity. In particular we provide the general, necessary and sufficient, condition for the vanishing of the spatial gradients of energy density, which in turn suggests a possible definition of a gravitational arrow of time. Some solutions are also exhibited to illustrate the discussion.

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