Spherically symmetric static solution for colliding null dust

Abstract

The Einstein equations are integrated in the presence of two (incoming and outgoing) streams of null dust, under the assumptions of spherical symmetry and staticity. The solution is also written in double null and radiation coordinates and it is reinterpreted as an anisotropic fluid. Interior matching with a static fluid and exterior matching with the Vaidya solution along null hypersurfaces is discussed. The connection with two-dimensional dilaton gravity is established.

12 pages, 7 figures, to appear in Phys. Rev. D

References in corpus (5)

• Black Holes of Negative Mass
• Null dust in canonical gravity
• Wormholes, Gamma Ray Bursts and the Amount of Negative Mass in the Universe
• On a Static Solution to Einstein Equations with incoming and outgoing radiation
• General Solution for Self-Gravitating Spherical Null Dust

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• Dilaton Gravity in Two Dimensions
• Dynamical generation of wormholes with charged fluids in quadratic Palatini gravity
• Binary black hole spacetimes with a helical Killing vector
• Wormholes supported by pure ghost radiation
• Planck scale physics and topology change through an exactly solvable model
• Construction and enlargement of traversable wormholes from Schwarzschild black holes
• Irradiated asymmetric Friedmann branes
• Wormholes, naked singularities and universes of ghost radiation
• Canonical theory of spherically symmetric spacetimes with cross-streaming null dusts
• A Spherically Symmetric Closed Universe as an Example of a 2D Dilatonic Model
• The Spherically Symmetric Standard Model with Gravity
• Standing waves in general relativity
• Geometrodynamics in a spherically symmetric, static crossflow of null dust
• Semi-transparent brane-worlds
• Minimally coupled scalar fields as imperfect fluids
• Nonstaticity with type II, III, or IV matter field in $f(R_{\mu \nu \rho \sigma },g^{\mu \nu })$ gravity
• Comment on "The complete Schwarzschild interior and exterior solution in the harmonic coordinate system" [J. Math. Phys. 39, 6086 (1998)]
• Orbiting Radiation Stars
• Dynamics of a self gravitating light-like matter shell with spherical symmetry