Equivalence of the spinor and tensor methods in the positive energy problem

DOI10.1063/1.533424zbMath0977.83056OpenAlexW1968977756MaRDI QIDQ2738130

V. A. Pelykh

Publication date: 30 August 2001

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

Full work available at URL: https://doi.org/10.1063/1.533424

zbMATH Keywords

general relativitypositive energy problemspinor and tensor methods

Mathematics Subject Classification ID

Gravitational energy and conservation laws; groups of motions (83C40) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60)

Related Items

Self-dual teleparallel formulation of general relativity and the positive energy theorem ⋮ Dominant energy conditions and Sen-Witten special orthonormal frame

Cites Work

• On Witten's proof of the positive energy theorem
• Existence of maximal surfaces in asymptotically flat spacetimes
• On the proof of the positive mass conjecture in general relativity
• A new proof of the positive energy theorem.
• Spinor fields and the positive energy theorem
• Phase space of general relativity revisited: A canonical choice of time and simplification of the Hamiltonian
• Existence theorem for solutions of Witten’s equation and nonnegativity of total mass
• Triads and the Witten equation
• On the existence of neutrino ’’zero-modes’’ in vacuum spacetimes
• On the behavior of the solutions of the differential equation ΔU = F(x,u) in the neighborhood of a point

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