The initial boundary value problem and quasi-local Hamiltonians in general relativity
DOI10.1088/1361-6382/ac0a86zbMath1482.83002arXiv2103.15673OpenAlexW3168792721WikidataQ114096978 ScholiaQ114096978MaRDI QIDQ5162835
Zhongshan An, Michael T. Anderson
Publication date: 5 November 2021
Published in: Classical and Quantum Gravity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.15673
Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Boundary value problems on manifolds (58J32) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10) Propagation of singularities; initial value problems on manifolds (58J47)
Related Items (4)
Cites Work
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- The Ricci flow on manifolds with boundary
- Total mean curvature, scalar curvature, and a variational analog of Brown-York mass
- Quasi-local energy-momentum and angular momentum in general relativity
- Isometric embeddings into the Minkowski space and new quasi-local mass
- On boundary value problems for Einstein metrics
- Reduction of symplectic manifolds with symmetry
- The initial boundary value problem for Einstein's vacuum field equation
- The existence and uniqueness of solutions of Yang-Mills equations with bag boundary conditions
- Positive mass theorem and the boundary behaviors of compact manifolds with nonnegative scalar curvature.
- On geometric problems related to Brown-York and Liu-Yau quasilocal mass
- Conformal immersions of prescribed mean curvature in \(\mathbb{R}^3\)
- Continuum and discrete initial-boundary value problems and Einstein's field equations
- Boundary conditions for coupled quasilinear wave equations with application to isolated systems
- Global aspects of the Cauchy problem in general relativity
- Théorème d'existence pour certains systèmes d'équations aux dérivées partielles non linéaires
- Covariant phase space with boundaries
- On the stability of gravity with Dirichlet walls
- Local symmetries and constraints
- General definition of “conserved quantities” in general relativity and other theories of gravity
- Setting the boundary free in AdS/CFT
- The inverse function theorem of Nash and Moser
- Dirichlet and neumann boundary value problems for Yang-Mills connections
- Canonical phase space formulation of quasi-local general relativity
- Covariant phase space, constraints, gauge and the Peierls formula
- Geometric boundary data for the gravitational field
- Well-posed initial-boundary value problem for the harmonic Einstein equations using energy estimates
- The conformal method and the conformal thin-sandwich method are the same
- General Relativity
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