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arXiv · 1201.3769

On the time dependent Schwarzschild - de Sitter spacetime

Hristu Culetu
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Abstract

An imperfect cosmic fluid with energy flux is analyzed. Even though its energy density $\rho$ is positive, the pressure $p = -\rho$ 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 $\bar{t} << H^{-1}$, the heat flux $q$ does not depend on Newton's constant $G$.

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Hristu Culetu. 2012-01-18. On the time dependent Schwarzschild - de Sitter spacetime. https://doi.org/10.1088/1742-6596/437/1/012005

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