On the time dependent Schwarzschild - de Sitter spacetime

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 $G$.

8 pages, no figures, Sections 3 and 5 enlarged, one reference added

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Cited by in corpus (5)

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• Quasi-local masses and cosmological coupling of black holes and mimickers
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• Point mass Cosmological Black Holes
• On a nonlinear gravitational wave. Geodesics