Quantum entropies in extreme dilaton black hole backgrounds

Physics

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Quantum Aspects Of Black Holes, Evaporation, Thermodynamics, Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity, Quantum Field Theory In Curved Spacetime

Scientific paper

For spinor fields, the entropies from the spin-1/2- and spin-1/2+ components, Sq-ext and Sq+ext, are quite different, though the former is 7/8 times the scalar entropy and the latter contains an extra term. The brick wall model is applicable to both NEBH and EBH. For the EDBH with 0≺a2≺1, using the brick wall model with the cutoff ɛ being given by ɛ(1- a2)/(1+a2)=(1+a2)κm2/ (1+a2) and κ the surface gravity on the event horizon, at the Hawking temperature TH=κ/2π, the scalar and spinor entropies are Sqext=S0/(1- a2)(1+a2)2 with S0=1/135 and SqFext=7/2Sqext+[1/6(1- a2)], respectively. For the EGHSDBH, the spin-1/2- and spin-1/2+ fields contribute the entropies Sq- ext=7/8Sqext, Sq+ext=7/8Sqext+(πm/6β) ln(L/ɛ), respectively; at the Hawking temperature, the spinor entropy is SqFext=(7/2+30)Sqext with Sqext=1/360 ln(L/ɛ).

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