The Fermionic Shells in Spherically Symmetric Space-Time
The thermodynamic properties of fermionic shells with planck-length inner surfaces near from the Schwarzschild black hole horizon are studied by means of statistical mechanics.From the fermion giant partition function definition,the concrete expression of the giant partition function is obtained through the calculation of co-variant space volume.It is found that fermions condenses at non-zero temperatures in curved spacetime.By analyzing the entropy of fermionic gas near the Schwarzschild black hole event horizon,it exhibits an area dependence similar to entropy.Is is also true when applied to(D+1)-dimensional spherically symmetric static spacetime.These results provide a new perspective for the study of black hole thermodynamics.
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