Supertranslations at Spatial and Timelike Infinities in the First-Order Formalism
arXiv:2409.01783 · doi:10.1103/PhysRevD.111.024033
Abstract
We study supertranslations at spatial and future timelike infinity in the first-order formalism. We relax the Ashtekar-Engle-Sloan boundary conditions to allow supertranslations at the spatial infinity and obtain the precise form of the tetrads and Lorentz connections. Employing the covariant phase space technique we obtain the Hamiltonian charges for the supertranslations at both timelike and spatial infinities. The charges obtained are shown to match the expressions reported adopting the metric-based approach.
arXiv commentMore explanations added; minor corrections made; almost matches with the published version
References in corpus (30)
- Isolated and dynamical horizons and their applications
- Soft Hair on Black Holes
- The Gravitational Hamiltonian, Action, Entropy, and Surface Terms
- Aspects of the BMS/CFT correspondence
- BMS supertranslations and Weinberg's soft graviton theorem
- Symmetries of asymptotically flat 4 dimensional spacetimes at null infinity revisited
- Isolated Horizons: Hamiltonian Evolution and the First Law
- Asymptotic symmetries and subleading soft graviton theorem
- Superrotation Charge and Supertranslation Hair on Black Holes
- Supertranslations and Superrotations at the Black Hole Horizon
- Symmetries and charges of general relativity at null boundaries
- BMS Group at Spatial Infinity: the Hamiltonian (ADM) approach
- Exponential corrections to black hole entropy
- The BMS4 algebra at spatial infinity
- Asymptotic symmetries of gravity and soft theorems for massive particles
- Hamiltonian structure and asymptotic symmetries of the Einstein-Maxwell system at spatial infinity
- Relaxing the Parity Conditions of Asymptotically Flat Gravity
- Asymptotics and Hamiltonians in a First order formalism
- Conservation of asymptotic charges from past to future null infinity: Supermomentum in general relativity
- Logarithmic supertranslations and supertranslation-invariant Lorentz charges
- Actions, topological terms and boundaries in first order gravity: A review
- Boundary and Corner Terms in the Action for General Relativity
- Hamiltonian and Noether charges in first order gravity
- Surface terms, Asymptotics and Thermodynamics of the Holst Action
- Celestial Holography: Lectures on Asymptotic Symmetries
- Action and Hamiltonians in higher dimensional general relativity: First order framework
- Asymptotic symmetries and charges at spatial infinity in general relativity
- Unified Treatment of null and Spatial Infinity IV: Angular Momentum at Null and Spatial Infinity
- The gravitational Hamiltonian, first order action, Poincaré charges and surface terms
- Timelike Infinity and Asymptotic Symmetry