Abstract
The thermodynamics of a static spherically symmetric black hole-global monopole system is investigated by two methods: surface gravity and the euclidean path integral. It is shown that if the mass of the black hole that swallows the monopole is sufficiently large compared to that of the monopole, then the Hawking temperature is decreased and the horizon area is raised by the presence of a global monopole, but the entropy-horizon area relation S = 1 4 A , where S is the entropy and A is the horizon area, is unaltered. It is found that the coalescence of a sufficiently heavy black hole with a global monopole is thermodynamically permissible because it is in accord with the second law of thermodynamics, i.e., the Hawking area theorem; such a black hole with a global monopole, if it exists in the first place, will not decay to a black hole without a global monopole neither by collapse nor by annihilation of the monopole quantum number via Higgs radiation. Also it is noted that the first law of black hole thermodynamics proposed by Bardeen, Carter and Hawking should be modified.
Published Version
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