Limiting Case of the Spin Hypersurface Dirac Operator arising in the positive mass theorem for black holes
| Dec 31, 2020
About this article
Published Online: Dec 31, 2020
Page range: 459 - 466
Received: Jul 04, 2019
Accepted: Sep 30, 2019
DOI: https://doi.org/10.2478/amns.2020.2.00070
Keywords
© 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.