Existence theorem for solutions of Witten’s equation and nonnegativity of total mass

DOI10.1063/1.525421zbMath0486.53024OpenAlexW2091183249MaRDI QIDQ3946745

Oscar A. Reula

Publication date: 1982

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.525421

zbMATH Keywords

positive mass conjectureWitten's equation

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 (17)

Generator algebra of the asymptotic Poincaré group in the general theory of relativity ⋮ On the Hamiltonian of general relativity ⋮ Killing vectors in asymptotically flat space–times. I. Asymptotically translational Killing vectors and the rigid positive energy theorem ⋮ A strictly-positive mass theorem ⋮ Total energy momentum in general relativity ⋮ On the total mass of closed universes ⋮ Total mass-momentum of arbitrary initial-data sets in general relativity ⋮ Hamiltonian dynamics of higher-order theories of gravity ⋮ There is no isolated p-p wave ⋮ A relation between local and total energy in general relativity ⋮ Dominant energy conditions and Sen-Witten special orthonormal frame ⋮ Equivalence of the spinor and tensor methods in the positive energy problem ⋮ Quasi-local energy-momentum and angular momentum in general relativity ⋮ Quasi-local energy-momentum and angular momentum in gr: a review article ⋮ Supersymmetric dyonic black holes in Kaluza-Klein theory. ⋮ Phase space of general relativity revisited: A canonical choice of time and simplification of the Hamiltonian ⋮ On the positive energy theorem involving mass and electromagnetic charges

Cites Work

• Note on positive-definiteness of the of the energy of the gravitational field
• Elliptic systems in H(s,delta) spaces on manifolds which are Euclidean at infinity
• A new proof of the positive energy theorem.
• Gravitational waves in general relativity VIII. Waves in asymptotically flat space-time
• ENERGY EXTRACTION*
• On the existence of neutrino ’’zero-modes’’ in vacuum spacetimes

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