Entropy of the Dirac field in a Kerr-Newman black hole

Details Entropy of the Dirac field in a Kerr-Newman black hole Entropy of the Dirac field in a Kerr-Newman black hole

Mar 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000phrvd..61f3003w&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 61, Issue 6, 15 March 2000, id.063003

Physics

18

Black Holes, Quantum Aspects Of Black Holes, Evaporation, Thermodynamics, Quantum Ensemble Theory

Scientific paper

Thinking of the Dirac equations in Newman-Penrose formalism, there are four components of the wave function ψ11,ψ12,ψ21,ψ22. We consider that the total free energy is summed up from the free energies of the four components. Then the entropy of the Dirac field in a Kerr-Newman black hole is calculated via the brick-wall method. We find that the calculation of the Dirac field is similar to that of a scalar field. It also requires a radial and an angular cutoff ɛ and δ. Moreover, if the cutoff values ɛ¯ and δ satisfy the same proper relation in the scalar field between them, the resulting entropy is 7/2 times the Klein-Gordon field.

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