Limiting Case of the Spin Hypersurface Dirac Operator arising in the positive mass theorem for black holes
31. Dez. 2020
Über diesen Artikel
Online veröffentlicht: 31. Dez. 2020
Seitenbereich: 459 - 466
Eingereicht: 04. Juli 2019
Akzeptiert: 30. Sept. 2019
DOI: https://doi.org/10.2478/amns.2020.2.00070
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© 2020 Serhan Eker, published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.
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.