Surface Charges Toolkit for Gravity
arXiv:1911.07264 · doi:10.1142/S0218271820500406
Abstract
These notes provide a detailed catalog of surface charge formulas for different classes of gravity theories. The present catalog reviews and extends the existing literature on the topic. Part of the focus is on reviewing the method to compute quasi-local surface charges for gauge theories in order to clarify conceptual issues and their range of applicability. Many surface charge formulas for gravity theories are expressed in metric, tetrads-connection, Chern-Simons connection, and even BF variables. For most of them, the language of differential forms is exploited and contrasted with the more popular metric components language. The gravity theory is coupled with matter fields as scalar, Maxwell, Skyrme, Yang-Mills, and spinors. Furthermore, three examples with ready-to-download notebook codes, show the method in full action. Several new results are highlighted through the notes.
Text improved, new section with examples, references added, 59 pages
References in corpus (36)
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- The Spin Foam Approach to Quantum Gravity
- A General Definition of "Conserved Quantities" in General Relativity and Other Theories of Gravity
- Covariant theory of asymptotic symmetries, conservation laws and central charges
- Local BRST cohomology in gauge theories
- Barbero's Hamiltonian derived from a generalized Hilbert-Palatini action
- Energy in Generic Higher Curvature Gravity Theories
- Entropy of Lovelock Black Holes
- Charged Rotating Black Hole in Three Spacetime Dimensions
- Surface charge algebra in gauge theories and thermodynamic integrability
- Lanczos-Lovelock models of gravity
- Black Hole Entropy and the Dimensional Continuation of the Gauss-Bonnet Theorem
- Conserved charges for gravity with locally AdS asymptotics
- Conformally dressed black hole in 2+1 dimensions
- Boundary charges in gauge theories: using Stokes theorem in the bulk
- Analytic self-gravitating Skyrmions, cosmological bounces and AdS wormholes
- Aspects of general higher-order gravities
- Central Charges in Extreme Black Hole/CFT Correspondence
- New Action Principle for General Relativity
- Asymptotic conservation laws in field theory
- Exact vacuum solution of a (1+2)-dimensional Poincare gauge theory: BTZ solution with torsion
- Transgression forms and extensions of Chern-Simons gauge theories
- Solution Phase Space and Conserved Charges: A General Formulation for Charges Associated with Exact Symmetries
- A short review on Noether's theorems, gauge symmetries and boundary terms
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- AdS_2 Supergravity and Superconformal Quantum Mechanics
- Skyrmion Black Hole Hair: Conservation of Baryon Number by Black Holes and Observable Manifestations
- Revisiting Conserved Charges in Higher Curvature Gravitational Theories
- Surface Charges for Gravity and Electromagnetism in the First Order Formalism
- Asymptotic structure of the Einstein-Maxwell theory on AdS
- Spacetime Thermodynamics with Contorsion
- Spin connection formulations of real Lorentzian General Relativity
- A 4D gravity theory and G2-holonomy manifolds
Cited by in corpus (12)
- Non-relativistic and Carrollian limits of Jackiw-Teitelboim gravity
- The first law and Wald entropy formula of heterotic stringy black holes at first order in alpha prime
- Null infinity as an open Hamiltonian system
- The first law of heterotic stringy black hole mechanics at zeroth order in alpha prime
- Lorentzian Taub-NUT spacetimes: Misner string charges and the first law
- The First Law for the Lorentzian Rotating Taub-NUT
- Covariant canonical formulations of classical field theories
- Corners of gravity: the case of gravity as a constrained BF theory
- A tale of two theories of gravity in asymptotically Anti-de Sitter spacetime
- Notes on solution phase space and BTZ black hole
- Conserved charges and asymptotic symmetries of BTZ-like black holes in Einstein-bumblebee gravity
- On the unexpected geometrical origin of the algebra of symmetries