欧氏作用量、配分函数与黑洞－整体单极热力学

利用消去约束的欧氏作用量，本文研究了球对称黑洞与整体单极体系的热力学。结果表明：对于在有限边界处温度和表面面积固定的正则系综，系统的确存在稳定的热平衡。通过与具有相同边界条件的通常黑洞比较发现，这类系统如果存在的话将不会自发衰变为无整体单极的单一黑洞．

Euclidean Action, Partition Function and Thermodynamics of a Black Hole-Global Monopole

Using the Euclidean action with constraints eliminated, we investigate thermodynamics of the spherical black-hole-global-monopole system. It is shown that there indeed exists stable thermal equilibrium for the system in the canonical ensemble in which the temperature and surface area are fixed at a finite boundary. A comparison with ordinary black holes under equivalent boundary conditions indicates that if such a system exists, it will not decay spontaneously to a black hole without a global monopole.