Positive mass conjecture for five-dimensional Lorentzian manifolds

DOI10.1063/1.532906zbMath0952.83010OpenAlexW1974760481WikidataQ123012196 ScholiaQ123012196MaRDI QIDQ4270365

Xiao Zhang

Publication date: 21 November 1999

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

Full work available at URL: https://doi.org/10.1063/1.532906

zbMATH Keywords

positive mass conjecture

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Gravitational energy and conservation laws; groups of motions (83C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items

Lower eigenvalue estimates of a Dirac-type operator involving electromagnetic field, The Dirac-Witten operator on pseudo-Riemannian manifolds, Positive energy theorem for (4+1)-dimensional asymptotically anti-de Sitter spacetimes, Positive mass theorems for higher dimensional Lorentzian manifolds, A new quasi-local mass and positivity, Rigidity results of free boundary maximal hypersurfaces in the region bounded by a de Sitter space, A note on positive energy theorem for spaces with asymptotic SUSY compactification, Positive mass theorems for high-dimensional spacetimes with black holes, Lower bounds for the eigenvalues of the spin\(^{c}\) Dirac-Witten operator, Lower bounds for eigenvalues of the Dirac-Witten operator

Cites Work

• On Witten's proof of the positive energy theorem
• Proof of the positive mass theorem. II
• On the proof of the positive mass conjecture in general relativity
• A new proof of the positive energy theorem.
• Coordinate Invariance and Energy Expressions in General Relativity
• The mass of an asymptotically flat manifold
• The Yamabe problem