On the time dependent Schwarzschild - de Sitter spacetime
Abstract
An imperfect cosmic fluid with energy flux is analyzed. Even though its energy density is positive, the pressure p = - due to the fact that the metric is asymptotically de Sitter. The kinematical quantities for a nongeodesic congruence are computed. The scalar expansion is time independent but divergent at the singularity r = 2m. Far from the central mass m and for a cosmic time t << H-1, the heat flux q does not depend on Newton's constant G.
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