Black holes and black strings in plane waves

Abstract

We investigate the construction of black holes and black strings in vacuum plane wave spacetimes using the method of matched asymptotic expansions. We find solutions of the linearised equations of motion in the asymptotic region for a general source on a plane wave background. We observe that these solutions do not satisfy our previously defined conditions for being asymptotically plane wave. Hence, the space of asymptotically plane wave solutions is restricted. We consider the solution in the near region, treating the plane wave as a perturbation of a black object, and find that there is a regular black string solution but no regular black hole solution.

28 pages, v2: minor changes, added reference

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Cited by in corpus (9)

• Essentials of Blackfold Dynamics
• New Horizons for Black Holes and Branes
• Black Strings from Minimal Geometric Deformation in a Variable Tension Brane-World
• From D3-Branes to Lifshitz Space-Times
• Blackfolds in (Anti)-de Sitter Backgrounds
• Comparing space+time decompositions in the post-Newtonian limit
• Einstein's action and the harmonic gauge in terms of Newtonian fields
• Blackfolds, Plane Waves and Minimal Surfaces
• Supertranslations and Holographic Stress Tensor