Null boundary gravitational charges from local Lorentz symmetries
arXiv:2211.04736 · doi:10.1103/PhysRevD.107.044004
Abstract
In this paper, we revisit the null boundary gravitational charge in the Newman-Penrose formalism with special emphasis on the charges from local Lorentz transformations. We find that there is one more charge derived from the local Lorentz transformation and the new charge is purely from the Holst term. This reveals a remarkable fact that trivial terms which do not change classical equations of motion can not only affect the boundary degrees of freedom through their contributions to the boundary charges but also have their own rights to create new boundary degrees of freedom.
arXiv comment10 pages
References in corpus (35)
- The Dynamics of General Relativity
- Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
- Black Hole Entropy from Near-Horizon Microstates
- The Kerr/CFT Correspondence
- Aspects of the BMS/CFT correspondence
- BMS charge algebra
- Supertranslations and Superrotations at the Black Hole Horizon
- Edge modes of gravity -- I: Corner potentials and charges
- The Weyl BMS group and Einstein's equations
- Currents and Superpotentials in classical gauge invariant theories I. Local results with applications to Perfect Fluids and General Relativity
- Symplectic and Killing Symmetries of AdS Gravity: Holographic vs Boundary Gravitons
- Edge modes of gravity -- II: Corner metric and Lorentz charges
- Null boundary phase space: slicings, news and memory
- Black hole entropy and Lorentz-diffeomorphism Noether charge
- New dual gravitational charges
- Symmetries at Null Boundaries: Two and Three Dimensional Gravity Cases
- Currents and Superpotentials in classical gauge theories: II. Global aspects and the example of Affine gravity
- Boundary effects in General Relativity with tetrad variables
- Conservation and Integrability in Lower-Dimensional Gravity
- Asymptotics and Hamiltonians in a First order formalism
- BMS current algebra in the context of the Newman-Penrose formalism
- A gauge-invariant symplectic potential for tetrad general relativity
- Properties of Dual Supertranslation Charges in Asymptotically Flat Spacetimes
- Dual gravitational charges and soft theorems
- Asymptotic gravitational charges
- Hamiltonian derivation of dual gravitational charges
- Subleading BMS charges and fake news near null infinity
- Null Surface Thermodynamics
- Symmetries at Causal Boundaries in 2D and 3D Gravity
- Chiral Massive News: Null Boundary Symmetries in Topologically Massive Gravity
- Hamiltonian and Noether charges in first order gravity
- A note on dual gravitational charges
- Near horizon gravitational charges
- Higher derivative asymptotic charges and internal Lorentz symmetries
- Conserved currents in the Palatini formulation of general relativity