Charges and Energy in Chern-Simons Theories and Lovelock Gravity

Abstract

Starting from the SO(2,2n) Chern-Simons form in (2n+1) dimensions we calculate the variation of conserved quantities in Lovelock gravity and Lovelock-Maxwell gravity through the covariant formalism developed in gr-qc/0305047. Despite the technical complexity of the Lovelock Lagrangian we obtain a remarkably simple expression for the variation of the charges ensuing from the diffeomorphism covariance of the theory. The viability of the result is tested in specific applications and the formal expression for the entropy of Lovelock black holes is recovered.

24 pages

References in corpus (4)

• Energy in Generic Higher Curvature Gravity Theories
• Charged Rotating Black Branes in anti-de Sitter Einstein-Gauss-Bonnet Gravity
• Conserved Quantities from the Equations of Motion (with applications to natural and gauge natural theories of gravitation)
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Cited by in corpus (20)

• The Lovelock Black Holes
• Holography of Gravitational Action Functionals
• Finite action principle for Chern-Simons AdS gravity
• Conserved Charges in Einstein Gauss-Bonnet theory
• Invariant conserved currents in gravity theories with local Lorentz and diffeomorphism symmetry
• On Higher Order Gravities, Their Analogy to GR, and Dimensional Dependent Version of Duff's Trace Anomaly Relation
• Augmented Variational Principles and Relative Conservation Laws in Classical Field Theory
• Theorem to generate Einstein-Non Linear Maxwell Fields
• Covariantized Noether identities and conservation laws for perturbations in metric theories of gravity
• Hoffmann-Infeld Black Hole Solutions in Lovelock Gravity
• On Transgression Forms and Chern--Simons (Super)gravity
• Viability of Noether symmetry of F(R) theory of gravity
• Nonlinear Perturbations and Conservation Laws on Curved Backgrounds in GR and Other Metric Theories
• Invariant conserved currents for gravity
• Three types of superpotentials for perturbations in the Einstein-Gauss-Bonnet gravity
• Covariant Quiver Gauge Theories
• Covariant Lagrangian Formulation of Chern-Simons and BF Theories
• Solution for Static, Spherically Symmetric Lovelock Gravity Coupled with Yang-Mills Hierarchy
• Field-theoretical construction of currents and superpotentials in Lovelock gravity
• Conserved quantities for black hole solutions in pure Lovelock gravity