Coordinates are messy -- not only in general relativity

DOI10.1007/978-3-031-42096-2_11MaRDI QIDQ6654071

Carla Cederbaum, Melanie Graf

Publication date: 18 December 2024

Mathematics Subject Classification ID

Astronomy and astrophysics (85-XX) Relativity and gravitational theory (83-XX)

Cites Work

• 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
• On the invariant mass conjecture in general relativity
• Role of surface integrals in the Hamiltonian formulation of general relativity
• On the proof of the positive mass conjecture in general relativity
• A new proof of the positive energy theorem.
• 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
• On center of mass and foliations by constant spacetime mean curvature surfaces for isolated systems in general relativity
• Explicit Riemannian manifolds with unexpectedly behaving center of mass
• The mass of an asymptotically flat manifold
• The Yamabe problem

Related Items (1)

Differential geometry in the large. Abstracts from the workshop held July 2--7, 2023

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