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arxiv: 0711.0062 · v3 · submitted 2007-11-01 · ✦ hep-th · gr-qc

Anisotropic fluid with time dependent viscosity coefficients

classification ✦ hep-th gr-qc
keywords energyfluidanisotropiccoefficientsdensitydependentinteriorstress
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A spacetime endowed with an anisotropic fluid is proposed for the interior of a Schwarzschild black hole. The geometry has an instantaneous Minkowski form and is a solution of Einstein's equations with a stress tensor on the r.h.s. obeying all the energy conditions. The interior fluid is compressible, with time dependent shear and bulk viscosity coefficients. The energy density $\rho$ and the ''radial'' pressure $p$ observe the equation of state $p + \rho = 0$ (as for dark energy), with no pressures on $\theta-$ and $\phi-$ directions. However, the angular components of the viscous part of the stress tensor are nonvanishing and equals the energy density of the fluid.

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