Limiting Case of the Spin Hypersurface Dirac Operator arising in the positive mass theorem for black holes
| 31 déc. 2020
À propos de cet article
Publié en ligne: 31 déc. 2020
Pages: 459 - 466
Reçu: 04 juil. 2019
Accepté: 30 sept. 2019
DOI: https://doi.org/10.2478/amns.2020.2.00070
Mots clés
© 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.