Lagrangian Brane Dynamics in General Relativity and Einstein-Gauss-Bonnet Gravity

Abstract

This paper gives a new, simple and concise derivation of brane actions and brane dynamics in general relativity and in Einstein-Gauss-Bonnet gravity. We present a unified treatment, applicable to timelike surface layers and spacelike transition layers, and including consideration of the more difficult lightlike case.

15 pages, to appear in Phys. Rev. D

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Cited by in corpus (21)

• `Mass without mass' from thin shells in Gauss-Bonnet gravity
• Tensor perturbations of $f(R)$-branes
• Tensor perturbations of $f(T)$-branes
• Shock Formation in Lovelock Theories
• Two Aspects of Black hole entropy in Lanczos-Lovelock models of gravity
• Brown-York quasilocal energy in Lanczos-Lovelock gravity and black hole horizons
• Spherically Symmetric and Rotating Wormholes Produced by Lightlike Branes
• Topological Black Holes of Einstein-Yang-Mills dilaton Gravity
• Dynamics of a self-gravitating shell of matter
• Weyl-Conformally-Invariant Lightlike p-Brane Theories: New Aspects in Black Hole Physics and Kaluza-Klein Dynamics
• Non-singular black holes from gravity-matter-brane lagrangians
• "Mass Inflation" With Lightlike Branes
• Hiding and Confining Charges via "Tube-like" Wormholes
• Weyl-Invariant Lightlike Branes and Soldering of Black Hole Space-Times
• Shell-mediated tunnelling between (anti-)de Sitter vacua
• Shock waves and Birkhoff's theorem in Lovelock gravity
• Thin Shell Dynamics and Equations of State
• Asymptotically Plane Wave Spacetimes and their Actions
• Collapsing Layers on Schwarzschild-Lemaitre Geodesics
• Kruskal-Penrose Formalism for Lightlike Thin-Shell Wormholes
• Stability, Singularities and Mass Thresholds in Child Universe Production: a concise survey including some recent results and prospects