ADM, BMS, and some puzzling interconnections
arXiv:2505.11937 · doi:10.1088/1751-8121/add591
Abstract
The precise connection between the ADM and BMS formalisms is still far from being fully understood. It leads superficially to some puzzles whose resolution can provide new interesting physical insights. One example concerns the claimed local-in-angle conservation of energy in a gravitational scattering process, whose physical meaning I will try to clarify in an explicit example. As my main topic, I will sketch my own understanding of how a recent saga on the definition of angular momentum, its loss, and its radiation, appears to have found its way to a happy ending by appealing to some non-trivial connections between ADM and BMS quantities in asymptotically flat and stationary spacetimes.
arXiv comment17 pages, Contribution to Special issue of Journal of Physics A: "Fields, Gravity, Strings and Beyond: In Memory of Stanley Deser. Journal of Physics A: Mathematical and Theoretical, (2025)
References in corpus (28)
- The Dynamics of General Relativity
- On BMS Invariance of Gravitational Scattering
- A General Definition of "Conserved Quantities" in General Relativity and Other Theories of Gravity
- BMS supertranslations and Weinberg's soft graviton theorem
- Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order
- Conserved charges of the extended Bondi-Metzner-Sachs algebra
- The Eikonal Approach to Gravitational Scattering and Radiation at
- Radiative contribution to classical gravitational scattering at the third order in
- Universality of ultra-relativistic gravitational scattering
- Radiation Reaction from Soft Theorems
- Bondi-Sachs Formalism
- Gravitational radiation reaction along general orbits in the effective one-body formalism
- Universality in the classical limit of massless gravitational scattering
- The Poincaré and BMS flux-balance laws with application to binary systems
- Radiated Angular Momentum and Dissipative Effects in Classical Scattering
- The Asymptotic Behavior of Massless Fields and the Memory Effect
- Planckian Energy Scattering and Surface Terms in the Gravitational Action
- Conservation of asymptotic charges from past to future null infinity: Supermomentum in general relativity
- Logarithmic supertranslations and supertranslation-invariant Lorentz charges
- Angular momentum loss in gravitational scattering, radiation reaction, and the Bondi gauge ambiguity
- Compact binary coalescences: The subtle issue of angular momentum
- Coulombic contribution to the flux of angular momentum in general relativity
- A Supertranslation-Invariant Formula for the Angular Momentum Flux in Gravitational Scattering
- BMS charges without supertranslation ambiguity
- Null Infinity and Horizons: A New Approach to Fluxes and Charges
- Angular momentum and memory effect
- Unified Treatment of null and Spatial Infinity IV: Angular Momentum at Null and Spatial Infinity
- Unified Treatment of Null and Spatial Infinity III: Asymptotically Minkowski Space-times