Quantum Corrections to the Entropy of a Black Hole with a Global Monopole or a Cosmic String due to Dirac Fields

Mao-Wang Lu

Chinese Journal of Physics

43卷5期（2005 / 10 / 01）

909 - 914

英文

The quantum corrections to the entropy arising from the Dirac spin field, of a static spherically-symmetric black hole with a global monopole or a cosmic string are investigated by the brick wall method. It is shown that, when the usual contribution from the surrounding vacuum system is ignored, the quantum corrections consist of two parts: one is a quadratically divergent term with a geometric character; the other is a logarithmically divergent term not proportional to the area of the horizon. The renormalization of the quadratic and logarithmic divergences is discussed briefly.