Considering the contribution of both the outer and inner horizons, the Hamilton-Jacobi method is applied to a Kerr-Newman black hole and a negative temperature of the inner horizon is obtained. Under the negative temp...Considering the contribution of both the outer and inner horizons, the Hamilton-Jacobi method is applied to a Kerr-Newman black hole and a negative temperature of the inner horizon is obtained. Under the negative temperature inside the black hole, the thermodynamics of the two horizons is studied, and the new Bekenstein-Smarr formula is given. The entropies of the inner and outer horizons are all positive. The new entropy expression of the black hole satisfies the Nernst Theorem and can be regarded as the Planck absolute entropy.展开更多
基金Supported by National Natural Science Foundation of China under Grant Nos.10773002,10875012the National Basic Research Program of China under Grant No.2003CB716302
文摘Considering the contribution of both the outer and inner horizons, the Hamilton-Jacobi method is applied to a Kerr-Newman black hole and a negative temperature of the inner horizon is obtained. Under the negative temperature inside the black hole, the thermodynamics of the two horizons is studied, and the new Bekenstein-Smarr formula is given. The entropies of the inner and outer horizons are all positive. The new entropy expression of the black hole satisfies the Nernst Theorem and can be regarded as the Planck absolute entropy.