Abstract
The tunneling behavior of fermions with half-integral spin from a higher dimensional charged anti-de Sitter (AdS) black hole in de Rham, Gabadadze and Tolley (dRGT) massive gravity is investigated via a modified Hamilton–Jacobi equation. The results demonstrate that the modified thermodynamic quantities not only are related to the properties of the higher dimensional charged AdS black hole in dRGT massive gravity but also depend on the parameter beta , the coupling constant sigma and the mass of emitted particles m. In addition, the modified Hawking temperature is higher than the original temperature; hence, the effect of MDR can significantly enhance the evolution of the black hole. Besides, our results can be verified using the modified Stefan–Boltzmann law.
Highlights
Based on the classical viewpoint, black holes were once thought to only absorb objects [1]. This changed after Hawking proved that black holes can radiate particles
In the theory of black hole radiation, Hawking introduced the quantum mechanism into gravity theory of curved spacetime and demonstrated that black holes can emit particles [2,3]. This theory profoundly reveals the connection among quantum theory, gravitation theory, thermodynamics, and statistical physics
One can calculate the temperature of black holes using the Hawking radiation
Summary
Based on the classical viewpoint, black holes were once thought to only absorb objects [1] This changed after Hawking proved that black holes can radiate particles. It is believed that the MDR can modify the equation of motion of particles on the event horizon of black holes. We study the fermion tunneling from a D-dimensional charged AdS black hole in dRGT massive gravity via the modified Hamilton–. The correction for the Hawking temperature of the D-dimensional charged AdS black hole in dRGT massive gravity is obtained. 3, by using the modified Hamilton–Jacobi equation, the modified tunneling rate of a fermion with half-integral spin and the correction for the Hawking temperature of a D-.
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