NDLI: Universal Positive Mass Theorems

Content Provider	Springer Nature Link
Author	Herzlich, Marc
Copyright Year	2016
Abstract	In this paper, we develop a general study of contributions at infinity of Bochner–Weitzenböck-type formulas on asymptotically flat manifolds, inspired by Witten’s proof of the positive mass theorem. As an application, we show that similar proofs can be obtained in a much more general setting as any choice of an irreducible natural bundle and a very large choice of first-order operators may lead to a positive mass theorem along the same lines if the necessary curvature conditions are satisfied.
Starting Page	973
Ending Page	992
Page Count	20
File Format	PDF
ISSN	00103616
Journal	Communications in Mathematical Physics
Volume Number	351
Issue Number	3
e-ISSN	14320916
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2016-10-20
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Theoretical, Mathematical and Computational Physics Mathematical Physics Quantum Physics Complex Systems Classical and Quantum Gravitation, Relativity Theory
Content Type	Text
Resource Type	Article
Subject	Statistical and Nonlinear Physics Mathematical Physics

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Universal Positive Mass Theorems