<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</abstract>

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.

Limiting Case of the Spin Hypersurface Dirac Operator arising in the positive mass theorem for black holes

Applied Mathematics and Nonlinear Sciences

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...

Limiting Case of the Spin Hypersurface Dirac Operator arising in the positive mass theorem for black holes

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
Spin and Spin geometry, Dirac operator, Estimation of eigenvalues

© 2020 Serhan Eker, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Limiting Case of the Spin Hypersurface Dirac Operator arising in the positive mass theorem for black holes

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

KeywordsSpin and Spin geometry, Dirac operator, Estimation of eigenvalues

© 2020 Serhan Eker, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
Spin and Spin geometry, Dirac operator, Estimation of eigenvalues