The energy determined in general relativity on the basis of the traditional Hamiltonian approach does not have physical meaning

DOI10.1007/BF01016826zbMath0541.53024OpenAlexW2036924762MaRDI QIDQ794286

V. I. Denisov, Vladimir O. Soloviev

Publication date: 1983

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01016826

zbMATH Keywords

Hamiltonian approachenergy of a system

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Asymptotic procedures (radiation, news functions, (mathcal{H} )-spaces, etc.) in general relativity and gravitational theory (83C30) Applications of local differential geometry to the sciences (53B50)

Related Items (8)

Local existence in retarded time under a weak decay on complete null cones ⋮ Mass and energy in general relativity ⋮ A mass for ALF manifolds ⋮ The origin of the energy-momentum conservation law ⋮ Asymptotic behavior of solutions to the Yamabe equation with an asymptotically flat metric ⋮ On center of mass and foliations by constant spacetime mean curvature surfaces for isolated systems in general relativity ⋮ Foliations by stable spheres with constant mean curvature for isolated systems without asymptotic symmetry ⋮ The length function of a twistor spinor with zero

Cites Work

• Solution of the local mass problem in general relativity
• On the proof of the positive mass conjecture in general relativity
• A new proof of the positive energy theorem.

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