Classical Limit for Dirac Fermions with Modified Action in the Presence of a Black Hole
Abstract
:1. Introduction
2. Dirac Fermions in the Black Hole in the Painleve–Gullstrand Reference Frame
3. Covariant Formulation of the Theory and Its Classical Limit
4. The Stress–Energy Tensor of the Non-Interacting Classical Particles
4.1. General Expression for the Stress–Energy Tensor
4.2. The Stress–Energy Tensor in the Limit
4.3. Expression for the Stress–Energy Tensor for Finite in the Case When the Substance Is Co-Moving with the Space Flow
5. Description of the Gravitational Collapse in the Generalized Painlevé-Gullstrand Coordinates
6. Classical Dynamics of Particles
7. Conclusions
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
References
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Lewkowicz, M.; Zubkov, M. Classical Limit for Dirac Fermions with Modified Action in the Presence of a Black Hole. Symmetry 2019, 11, 1294. https://doi.org/10.3390/sym11101294
Lewkowicz M, Zubkov M. Classical Limit for Dirac Fermions with Modified Action in the Presence of a Black Hole. Symmetry. 2019; 11(10):1294. https://doi.org/10.3390/sym11101294
Chicago/Turabian StyleLewkowicz, Meir, and Mikhail Zubkov. 2019. "Classical Limit for Dirac Fermions with Modified Action in the Presence of a Black Hole" Symmetry 11, no. 10: 1294. https://doi.org/10.3390/sym11101294