GUP corrected fermion tunnelling from \(2+1\) dimensional black string. (English) Zbl 1337.83047
Summary: In this paper, using the generalized Dirac equation which is modified by GUP, we study the fermion tunneling from \(2+1\) dimensional black string. Our results show that the Hawking temperature is not only depended on the event horizon of black string but also related to the quantum number of emitted fermion (energy and mass). Meanwhile, we find the GUP can slow down the Hawking temperature increase and lead to the remnants. It implies that the GUP can avoid the evaporation of black holes.
MSC:
| 83C57 | Black holes |
| 81Q05 | Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics |
| 81R20 | Covariant wave equations in quantum theory, relativistic quantum mechanics |
| 81S05 | Commutation relations and statistics as related to quantum mechanics (general) |
| 83C60 | Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism |
| 83C80 | Analogues of general relativity in lower dimensions |
| 81P15 | Quantum measurement theory, state operations, state preparations |
| 83E30 | String and superstring theories in gravitational theory |
| 83C47 | Methods of quantum field theory in general relativity and gravitational theory |
| 80A10 | Classical and relativistic thermodynamics |
Keywords:
the generalized uncertainty principle; generalized Dirac equation; \(2+1\) dimensional black string; Hawking temperature; event horizontReferences:
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