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

Ariel University

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

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

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

Access to Document

10.1063/1.4820469

Cite this

@article{4de48a4da4aa43bcb0ce32a493730890,

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.",

year = "2013",

month = sep,

day = "11",

doi = "10.1063/1.4820469",

language = "الإنجليزيّة",

volume = "54",

journal = "Journal of Mathematical Physics",

issn = "0022-2488",

publisher = "American Institute of Physics",

number = "9",

}

TY - JOUR

T1 - Rigidity in the positive mass theorem with charge

AU - Khuri, Marcus A.

AU - Weinstein, Gilbert

N1 - Funding Information: M. A. Khuri acknowledges the support of NSF Grant No. DMS-1007156, DMS-1308753, and a Sloan Research Fellowship.

PY - 2013/9/11

Y1 - 2013/9/11

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.

UR - http://www.scopus.com/inward/record.url?scp=84884920752&partnerID=8YFLogxK

U2 - 10.1063/1.4820469

DO - 10.1063/1.4820469

M3 - مقالة

SN - 0022-2488

VL - 54

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 9

M1 - 092501

ER -

Rigidity in the positive mass theorem with charge

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this