Conserved charges in Einstein Gauss–Bonnet theory

2003/10/31 by Nathalie Deruelle, Joseph Katz, Sachiko Ogushi · 3 citations
Mathematics · Physics and Astronomy · #Anti-de Sitter space #Black Holes and Theoretical Physics #Black hole (networking) #Charge (physics) #Conserved quantity #Cosmology and Gravitation Theories #De Sitter universe #Einstein #Einstein's constant #Geometric Analysis and Curvature Flows #Superpotential #gr-qc #hep-th

paper · pdf · doi:10.1088/0264-9381/21/8/004

published as Class.Quant.Grav.21:1971,2004 · 17 pages, LaTeX, references added, typos corrected, version to appear in Class. Quant. Grav

arxiv created 2004/02/23 · openalex publication_date 2004/03/16 · arxiv updated 2010/12/03 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06

Abstract

Using Noether's identities, we define a superpotential with respect to a background for the Einstein Gauss–Bonnet theory of gravity. As an example, we show that its associated conserved charge yields the mass-energy of a D -dimensional Gauss–Bonnet black hole in an anti-de Sitter spacetime.

Citations

• Black hole in three-dimensional spacetime
• Stability of gravity with a cosmological constant
• The four laws of black hole mechanics
• Thermodynamics of black holes in anti-de Sitter space
• Particle creation by black holes
• Black Holes and Entropy
• Covariant Conservation Laws in General Relativity

Cited by

• Some globally conserved currents from generalized Killing vectors and scalar test fields
• Weak equivalence principle for self-gravitating bodies: A sieve for purely metric theories of gravity
• Lanczos–Lovelock models of gravity