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arxiv: 1704.03536 · v1 · pith:HF45EPUInew · submitted 2017-04-10 · 🌀 gr-qc · hep-th

The GUP effect on Hawking Radiation of the 2+1 dimensional Black Hole

classification 🌀 gr-qc hep-th
keywords hawkingblackholediracparticleradiationdimensionaleffect
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We investigate the Generalized Uncertainty Principle (GUP) effect on the Hawking radiation of the 2+1 dimensional Martinez-Zanelli black hole by using the Hamilton-Jacobi method. In this connection, we discuss the tunnelling probabilities and Hawking temperature of the spin-1/2 and spin-0 particles for the black hole. Therefore, we use the modified Klein-Gordon and Dirac equations based on the GUP. Then, we observe that the Hawking temperature of the scalar and Dirac particles depend on not only the black hole properties, but also the properties of the tunnelling particle, such as angular momentum, energy and mass. And, in this situation, we see that the tunnellig probability and the Hawking radiation of the Dirac particle is different from that of the scalar particle.

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  1. Quantum-Corrected Thermodynamics of Conformal Weyl Gravity Black Holes: GUP Effects and Phase Transitions

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    Quantum-corrected thermodynamics of conformal Weyl gravity black holes via GUP and exponential entropy reveals parameter-dependent divergences in heat capacity and shifts in Joule-Thomson inversion points indicating p...