On center of mass and foliations by constant spacetime mean curvature surfaces for isolated systems in general relativity
DOI10.1007/s00526-021-02060-zzbMath1483.53086arXiv1901.00028OpenAlexW3197383282WikidataQ115386472 ScholiaQ115386472MaRDI QIDQ1981626
Carla Cederbaum, Anna Sakovich
Publication date: 6 September 2021
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.00028
evolution equationscenter of massasymptotically Euclidean spacetimefoliations by constant spacetime mean curvature surfaces
Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Perturbations of PDEs on manifolds; asymptotics (58J37)
Related Items (6)
Cites Work
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- Extremal surface barriers
- P.D.E.'s which imply the Penrose conjecture
- Mean curvature flow in a Ricci flow background
- Large outlying stable constant mean curvature spheres in initial data sets
- Foliations by stable spheres with constant mean curvature for isolated systems with general asymptotics
- Uniqueness of the foliation of constant mean curvature spheres in asymptotically flat 3-manifolds
- Quasilocal angular momentum and center of mass in general relativity
- Computing asymptotic invariants with the Ricci tensor on asymptotically flat and asymptotically hyperbolic manifolds
- Foliations by stable spheres with constant mean curvature for isolated systems without asymptotic symmetry
- The energy determined in general relativity on the basis of the traditional Hamiltonian approach does not have physical meaning
- Optimal rigidity estimates for nearly umbilical surfaces
- Stability of hypersurfaces with constant mean curvature
- On the invariant mass conjecture in general relativity
- Role of surface integrals in the Hamiltonian formulation of general relativity
- Elliptic partial differential equations of second order
- Transformations of asymptotically AdS hyperbolic initial data and associated geometric inequalities
- Foliations by spheres with constant expansion for isolated systems without asymptotic symmetry
- The Poincaré group as the symmetry group of canonical general relativity
- Definition of center of mass for isolated physical systems and unique foliations by stable spheres with constant mean curvature
- Explicit Riemannian manifolds with unexpectedly behaving center of mass
- Unique isoperimetric foliations of asymptotically flat manifolds in all dimensions
- Einstein manifolds
- Foliations of asymptotically flat 3-manifolds by 2-surfaces of prescribed mean curvature
- Generalized inverse mean curvature flows in spacetime
- Effective versions of the positive mass theorem
- Evaluation of the ADM mass and center of mass via the Ricci tensor
- Coordinate Invariance and Energy Expressions in General Relativity
- A counterexample to a recent version of the Penrose conjecture
- On the uniqueness of the foliation of spheres of constant mean curvature in asymptotically flat 3-manifolds
- Present status of the Penrose inequality
- The mass of an asymptotically flat manifold
- Foliation by Constant Mean Curvature Spheres on Asymptotically Flat Manifolds
- Partial Differential Equations
- On mapping properties of the general relativistic constraints operator in weighted function spaces, with applications
- Global Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations
- Riemannian Geometry
- On the center of mass of isolated systems with general asymptotics
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