Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2004-02-29
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.
Herrera Luis
Martin Jacobo
Ospino J.
Prisco A. Di
Santos Nilton O.
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