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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Podrobná bibliografie
Vydáno v:	Applied mathematics and nonlinear sciences Ročník 6; číslo 1; s. 459 - 466
Hlavní autor:	Eker, Serhan
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Beirut Sciendo 01.01.2021 De Gruyter Brill Sp. z o.o., Paradigm Publishing Services
Témata:	Dirac operator Estimation of eigenvalues geometry Primary 53C27 Secondary, 34L40, 35P15 Spin and Spin
ISSN:	2444-8656, 2444-8656
On-line přístup:	Získat plný text
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Popis
Shrnutí:	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.
Bibliografie:	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