Shock waves and Birkhoff's theorem in Lovelock gravity

Abstract

Spherically symmetric shock waves are shown to exist in Lovelock gravity. They amount to a change of branch of the spherically symmetric solutions across a null hypersurface. The implications of their existence for the status of Birkhoff's theorem in the theory is discussed.

9 pages, no figures, clarifying changes made in the text of section III and references added

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Cited by in corpus (7)

• A Lovelock black hole bestiary
• Lovelock black holes with maximally symmetric horizons
• Gravitoelectromagnetism and other decompositions of the Riemann tensor
• Gauss-Bonnet lagrangian G ln G and cosmological exact solutions
• The tetralogy of Birkhoff theorems
• Geometrodynamics of spherically symmetric Lovelock gravity
• Hamiltonian dynamics of Lovelock black holes with spherical symmetry