Limiting Case of the Spin Hypersurface Dirac Operator arising in the positive mass theorem for black holes
31 dic 2020
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Publicado en línea: 31 dic 2020
Páginas: 459 - 466
Recibido: 04 jul 2019
Aceptado: 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.