Black hole thermodynamics and quantum hair

Astronomy and Astrophysics – Astronomy

Scientific paper

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Black Holes (Astronomy), Entropy, Fermions, Quantum Theory, Thermodynamic Properties, Yang-Mills Theory, Euclidean Geometry, Thermodynamic Equilibrium, Weighting Functions

Scientific paper

A formula is derived for the Euclidean action of a black hole surrounded
by Yang-Mills, scalar, and fermion fields. This is used to prove that
the entropy of a black hole with classical hair is given by the usual
formula, S = 1/4 A, where A is the area of the event horizon. The
modifications for quantum hair are discussed.

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