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We demonstrate that the anisotropic stress-energy supporting the Kiselev black hole can be mimicked by being split into a perfect fluid component plus either an electromagnetic component or a scalar field component, thereby quantifying the precise extent to which the Kiselev black hole fails to represent a perfect fluid spacetime.
1908
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Friedrich Kottler, “Über die physikalischen Grundlagen der Einsteinschen Relativitätstheorie”, (On the physical foundations of Einstein’s theory of relativity), Annalen der Physik 4 # 60
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V. V. Kiselev, “Quintessence and black holes”, Class. Quant. Grav. 20
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D. Martin and M. Visser, “Bounds on the interior geometry and pressure profile of static fluid spheres”, Class. Quant. Grav. 20
2003
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M. Visser and N. Yunes, “Power laws, scale invariance, and generalized Frobenius series: Applications to Newtonian and TOV stars near criticality”, Int. J. Mod. Phys. A 18
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I. Dymnikova, “Spherically symmetric space-time with the regular de Sitter center”, Int. J. Mod. Phys. D 12
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D. Martin and M. Visser, “Algorithmic construction of static perfect fluid spheres”, Phys. Rev. D 69
2004
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T. Jacobson, “When is g t t g r r = − 1 g_{tt}\;g_{rr}=-1 ?”, Class. Quant. Grav. 24
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I. Dymnikova and M. Korpusik, “Regular black hole remnants in de Sitter space”, Phys. Lett. B 685
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R. V. Buniy and S. D. H. Hsu, “Instabilities and the null energy condition”, Phys. Lett. B 632
2005
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P. Boonserm, M. Visser and S. Weinfurtner, “Generating perfect fluid spheres in general relativity”, Phys. Rev. D 71
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C. Cattöen and M. Visser, “Necessary and sufficient conditions for big bangs, bounces, crunches, rips, sudden singularities, and extremality events”, Class. Quant. Grav. 22
2005
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I. Dymnikova and E. Galaktionov, “Stability of a vacuum nonsingular black hole”, Class. Quant. Grav. 22
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R. V. Buniy, S. D. H. Hsu and B. M. Murray, “The null energy condition and instability”, Phys. Rev. D 74
2006
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P. Boonserm, M. Visser and S. Weinfurtner, “Solution generating theorems for perfect fluid spheres”, J. Phys. Conf. Ser. 68
2007
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C. Cattöen and M. Visser, “Cosmological milestones and energy conditions”, J. Phys. Conf. Ser. 68
2007
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2015
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2016
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T. Hartman, S. Kundu and A. Tajdini, “Averaged null energy condition from causality”, JHEP 1707
2017
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2017
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2017
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M. Visser, “Rastall gravity is equivalent to Einstein gravity”, Phys. Lett. B 782
2018
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