Limiting Case of the Spin Hypersurface Dirac Operator arising in the positive mass theorem for black holes

In this paper, we give an explicit form of the scalar curvaure for the limiting case of the eigenvalue of the hypersurface Dirac operator which arises in the positive mass theorem for black holes. Then, we show that the hypersurface is an Einstein.

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Bibliographic Details
Published in:	Applied mathematics and nonlinear sciences Vol. 6; no. 1; pp. 459 - 466
Main Author:	Eker, Serhan
Format:	Journal Article
Language:	English
Published:	Beirut Sciendo 01.01.2021 De Gruyter Brill Sp. z o.o., Paradigm Publishing Services
Subjects:	Dirac operator Estimation of eigenvalues geometry Primary 53C27 Secondary, 34L40, 35P15 Spin and Spin
ISSN:	2444-8656, 2444-8656
Online Access:	Get full text
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Summary:	In this paper, we give an explicit form of the scalar curvaure for the limiting case of the eigenvalue of the hypersurface Dirac operator which arises in the positive mass theorem for black holes. Then, we show that the hypersurface is an Einstein.
Bibliography:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14
ISSN:	2444-8656 2444-8656
DOI:	10.2478/amns.2020.2.00070