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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Bibliographische Detailangaben
Veröffentlicht in:	Applied mathematics and nonlinear sciences Jg. 6; H. 1; S. 459 - 466
1. Verfasser:	Eker, Serhan
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Beirut Sciendo 01.01.2021 De Gruyter Brill Sp. z o.o., Paradigm Publishing Services
Schlagworte:	Dirac operator Estimation of eigenvalues geometry Primary 53C27 Secondary, 34L40, 35P15 Spin and Spin
ISSN:	2444-8656, 2444-8656
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	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.
Bibliographie:	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