BMS current algebra in the context of the Newman-Penrose formalism

Abstract

Starting from an action principle adapted to the Newman-Penrose formalism, we provide a self-contained derivation of BMS current algebra, which includes the generalization of the Bondi mass loss formula to all BMS generators. In the spirit of the Newman-Penrose approach, infinitesimal diffeomorphisms are expressed in terms of four scalars rather than a vector field. In this framework, the on-shell closed co-dimension two forms of the linearized theory associated with Killing vectors of the background are constructed from a standard algorithm. The explicit expression for the breaking that occurs when using residual gauge transformations instead of exact Killing vectors is worked out and related to the presymplectic flux.

v2: section 2 is reorganized and the presentation is improved, to appear in Classical and Quantum Gravity

References in corpus (9)

• Gravitational action with null boundaries
• Surface charge algebra in gauge theories and thermodynamic integrability
• Asymptotics and Hamiltonians in a First order formalism
• Liouville theory beyond the cosmological horizon
• Subleading BMS charges and fake news near null infinity
• On covariant phase space methods
• Conserved currents in the Cartan formulation of general relativity
• Three-dimensional spacetimes of maximal order
• Note on the symplectic structure of asymptotically flat gravity and BMS symmetries

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