Rigidity in the positive mass theorem with charge

Marcus A. Khuri; Gilbert Weinstein

doi:10.1063/1.4820469

Rigidity in the positive mass theorem with charge

Marcus A. Khuri, Gilbert Weinstein

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

In this paper, we show how a natural coupling of the Dirac equation with the generalized Jang equation leads to a proof of the rigidity statement in the positive mass theorem with charge, without the maximal slicing condition, provided a solution to the coupled system exists.

Original language	English
Article number	092501
Journal	Journal of Mathematical Physics
Volume	54
Issue number	9
DOIs	https://doi.org/10.1063/1.4820469
State	Published - 11 Sep 2013

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title = "Rigidity in the positive mass theorem with charge",

abstract = "In this paper, we show how a natural coupling of the Dirac equation with the generalized Jang equation leads to a proof of the rigidity statement in the positive mass theorem with charge, without the maximal slicing condition, provided a solution to the coupled system exists.",

author = "Khuri, {Marcus A.} and Gilbert Weinstein",

note = "Funding Information: M. A. Khuri acknowledges the support of NSF Grant No. DMS-1007156, DMS-1308753, and a Sloan Research Fellowship.",

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N2 - In this paper, we show how a natural coupling of the Dirac equation with the generalized Jang equation leads to a proof of the rigidity statement in the positive mass theorem with charge, without the maximal slicing condition, provided a solution to the coupled system exists.

AB - In this paper, we show how a natural coupling of the Dirac equation with the generalized Jang equation leads to a proof of the rigidity statement in the positive mass theorem with charge, without the maximal slicing condition, provided a solution to the coupled system exists.

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Rigidity in the positive mass theorem with charge

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