Self-gravitating anisotropic fluids

Details Self-gravitating anisotropic fluids Self-gravitating anisotropic fluids

May 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982ncimb..69..145l&link_type=abstract

Nuovo Cimento B, Serie 11, vol. 69 B, May 11, 1982, p. 145-159.

Mathematics

9

Anisotropic Media, Einstein Equations, Field Theory (Physics), Gravitational Effects, Ideal Fluids, Self Propagation, Singularity (Mathematics), Space-Time Functions, Static Pressure

Scientific paper

The solution to Einstein's field equations for a self-gravitating anisotropic fluid which is described by two perfect-fluid components is examined. The solution is studied in the case where the metric is given by four functions of two variables, in the case where each fluid component is irrotational, and where each one obeys the equation of state pressure = energy density. The method solves the equivalent problem of Einstein's equations coupled to a complex massless scalar field. Different energy conditions for the model are studied, and it is shown that particular solutions to the equations can be interpreted as the metric generated by a special type of solids. The concept of velocity-dominated singularity is used to study the fluid and the space-time singular behavior, and it is found that near the singularity, the anisotropic fluid becomes isotropic.

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