Article
Limiting Case of the Spin Hypersurface Dirac Operator arising in the positive mass theorem for black holes
Authors
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.
Keywords
Spin and Spinc geometry, Dirac operator, Estimation of eigenvalues, Primary 53C27, Secondary, 34L40, 35P15
Citation
Eker, S. (2020). Limiting case of the spin hypersurface dirac operator arising in the positive mass theorem for black holes. Applied Mathematics and Nonlinear Sciences, 5(2), 459–466. https://doi.org/10.2478/amns.2020.2.00070
S. Eker, “Limiting case of the spin hypersurface dirac operator arising in the positive mass theorem for black holes,” Applied Mathematics and Nonlinear Sciences, vol. 5, no. 2, pp. 459–466, 2020, doi: 10.2478/amns.2020.2.00070.
Eker S. Limiting case of the spin hypersurface dirac operator arising in the positive mass theorem for black holes. Applied Mathematics and Nonlinear Sciences. 2020;5(2):459–466. doi:10.2478/amns.2020.2.00070.
Eker, S. (2020), ‘Limiting case of the spin hypersurface dirac operator arising in the positive mass theorem for black holes’, Applied Mathematics and Nonlinear Sciences, 5(2), pp. 459–466. Available at: https://doi.org/10.2478/amns.2020.2.00070.
Eker, Serhan. “Limiting Case of the Spin Hypersurface Dirac Operator Arising in the Positive Mass Theorem for Black Holes.” Applied Mathematics and Nonlinear Sciences, vol. 5, no. 2, 2020, pp. 459–466. https://doi.org/10.2478/amns.2020.2.00070.
Eker, Serhan. “Limiting Case of the Spin Hypersurface Dirac Operator Arising in the Positive Mass Theorem for Black Holes.” Applied Mathematics and Nonlinear Sciences 5, no. 2 (2020): 459–466. https://doi.org/10.2478/amns.2020.2.00070.
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Published by: Engineering Journals
