Contribución al estudio de fluidos disipativos esféricamente simétricos

Abstract

In this paper we study self-gravity, spherically symmetrical, dissipative and locally anisotropic in the pressure fluids; we discuss the relationship between the Weyl tensor, the deformation tensor, the anisotropy and inhomogeneities in the energy density. In addition, individual cases of spherically symmetric fluids, including the more general case in which all the variables above mentioned are different from zero, are studied. In the case of perfect fluids, or fluid dissipative but locally anisotropic in the regime of quasi-static evolution, the inhomogeneities in the energy density depends exclusively on the Weyl tensor, which reinforces the hypothesis of Penrose [1], which is based on the fact that the self-gravity systems tend to form inhomogeneities, defining so a gravitational time arrow. In the paper we conclude that in the more general case, if the perspective of Penrose is adopted, then this arrow is as dependent on the gravitational tensor of Weyl as on the anisotropy of the dissipation.