Lanczos–Lovelock models of gravity

2013/02/28 by T. Padmanabhan, Dawood Kothawala, D. Kothawala · 2 citations
Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Curvature #Generalization #Gravitation #Metric (unit) #Noncommutative and Quantum Gravity Theories #Polynomial #Quadratic equation #Set (abstract data type) #astro-ph.CO #gr-qc #hep-th

paper · pdf · doi:10.1016/j.physrep.2013.05.007

published as Physics Reports 531: 115-171 (2013) · 95 pages; final version published in Physics Reports

openalex publication_date 2013/06/03 · arxiv created 2013/12/12 · arxiv updated 2013/12/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Lanczos-Lovelock models of gravity represent a natural and elegant generalization of Einstein's theory of gravity to higher dimensions. They are characterized by the fact that the field equations only contain up to second derivatives of the metric even though the action functional can be a quadratic or higher degree polynomial in the curvature tensor. Because these models share several key properties of Einstein's theory they serve as a useful set of candidate models for testing the emergent paradigm for gravity. This review highlights several geometrical and thermodynamical aspects of Lanczos-Lovelock models which have attracted recent attention.

Citations

• Entropy and temperature from black-hole/near-horizon-CFT duality
• Cosmological Constant - the Weight of the Vacuum
• Black Hole Thermodynamics from Euclidean Horizon Constraints
• A General Definition of "Conserved Quantities" in General Relativity and Other Theories of Gravity
• Black holes in general relativity
• Comparison of the Noether charge and Euclidean methods for computing the entropy of stationary black holes
• Conformal entropy as a consequence of the properties of stationary Killing horizons
• Canonical analysis and stability of Lanczos–Lovelock gravity
• What we don't know about BTZ black hole entropy
• Thermodynamics of Spacetime: The Einstein Equation of State
• Gravitation, gauge theories and differential geometry
• Statistical entropy of Schwarzschild black strings and black holes
• Shortcuts to high symmetry solutions in gravitational theories
• Lovelock theories, holography and the fate of the viscosity bound
• Near-Horizon Conformal Symmetry and Black Hole Entropy
• Effective gravity theories with dilations
• Black hole explosions?
• Path integral derivation of the Brown-Henneaux central charge
• General Gauss Bonnet brane cosmology
• Structure of Lanczos-Lovelock Lagrangians in critical dimensions
• Conformal field theory, (2 + 1)-dimensional gravity and the BTZ black hole
• Black Hole Entropy from Conformal Field Theory in Any Dimension
• Black hole entropy from classical Liouville theory
• Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity
• Near-horizon conformal symmetry and black hole entropy in any dimension
• Hawking radiation as tunneling for spherically symmetric black holes: A generalized treatment
• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Conserved charges in Einstein Gauss–Bonnet theory
• Entropy from conformal field theory at Killing horizons
• Hawking Radiation as Tunneling
• Dynamics of diffeomorphism degrees of freedom at a horizon
• Black Holes and Entropy
• Equipartition of energy in the horizon degrees of freedom and the emergence of gravity

Cited by

• Comments on joint terms in gravitational action
• Proca theory of four-dimensional regularized Gauss-Bonnet gravity and black holes with primary hair