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Anisotropic fluid with time dependent viscosity coefficients

High Energy Physics - Theory 2008-01-31 v3 General Relativity and Quantum Cosmology

Abstract

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 ρ\rho and the ''radial'' pressure pp observe the equation of state p+ρ=0p + \rho = 0 (as for dark energy), with no pressures on θ\theta- and ϕ\phi- directions. However, the angular components of the viscous part of the stress tensor are nonvanishing and equals the energy density of the fluid.

Keywords

Cite

@article{arxiv.0711.0062,
  title  = {Anisotropic fluid with time dependent viscosity coefficients},
  author = {Hristu Culetu},
  journal= {arXiv preprint arXiv:0711.0062},
  year   = {2008}
}

Comments

7 pages, title changed, references added, no figures

R2 v1 2026-06-21T09:38:40.269Z