Boundary conditions at spatial infinity from a Hamiltonian point of view
Piotr T. Chrusciel
TL;DR
This paper demonstrates that the ADM mass and momentum are intrinsic geometric invariants for asymptotically flat initial data in general relativity, analyzed through a Hamiltonian framework.
Contribution
It provides a Hamiltonian perspective on boundary conditions at spatial infinity, establishing the invariance of ADM quantities.
Findings
ADM mass and momentum are geometric invariants
Hamiltonian approach clarifies boundary conditions at infinity
Results reinforce the geometric nature of conserved quantities
Abstract
We show that the ADM mass and momentum are geometric invariants of asymptotically flat initial data sets
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsBlack Holes and Theoretical Physics · Stochastic processes and statistical mechanics · Quantum chaos and dynamical systems