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Exact solutions for null fluid collapse
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abstract
Exact non-static spherically symmetric solutions of the Einstein equations for a null fluid source with pressure $P$ and density $\rho$ related by $P = k\rho^a$ are given. The $a=1$ metrics are asymptotically flat for $1/2<k\le 1$ and cosmological for $0<k<1/2$. The $k=1$ metric is the known charged Vaidya solution. In general the metrics have multiple apparent horizons. In the long time limit, the asymptotically flat metrics are hairy black hole solutions that `fall between' the Schwarzschild and Reissner-Nordstrom metrics.
Forward citations
Cited by 8 Pith papers
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Effective geometrodynamics for renormalization-group improved black-hole spacetimes in spherical symmetry
RG-improved black hole spacetimes with scale-dependent gravitational coupling are derived as vacuum solutions to 2D Horndeski master field equations, embedding prior works and exposing implementation discrepancies.
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Homothetic Killing horizons in generic Vaidya spacetimes
Vaidya-type dynamical black holes admit homothetic Killing vectors only for linear-in-null-time mass/charge/rotation profiles, and the resulting homothetic Killing horizons carry surface gravities obeying a flux-balan...
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Shadow of the generalized Vaidya black hole
For self-similar Husain black holes, the barotropic index α controls the shadow: α<1/2 enlarges it, α>1/2 shrinks it, with a quasistatic influx criterion for the time-dependent case.
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Regular Black Hole from gravitational collapse of dust and radiation
A dust and radiation collapse with an ad hoc radial energy exchange can yield a regular black hole center with finite curvature.
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Regular Black Hole Formation and Gamma-Ray Burst from Matter Conversion
The formation of a regular black hole could release gamma-ray-burst-scale energy only if its singularity-avoiding core is a weak perturbation of Schwarzschild.
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Barotropic Equation of State and Nonlinear Electrodynamics in Dynamical Black Hole Spacetimes
The paper's identification of the Husain solution's integration constant with nonlinear electrodynamics charges is undermined by internal inconsistencies in the reconstruction.
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Gravitational Collapse and Formation of Regular Black Holes: Dymnikova, Hayward, and Beyond
The paper derives a radiation density formula for a collapse in which baryonic matter converts into arbitrary target regular black hole matter.
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On a star with expanding isotropic fluid
The claimed star solution is a spatially flat FLRW universe whose scale factor grows like sqrt(cosh(2kt)); its late-time de Sitter phase has Lambda=3k^2, not k^2.
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