Topic: General mass forumlas for charged Kerr-Ads black holes

Speaker:高思杰 教授，北京师范大学

  高思杰博士，2002年毕业于美国芝加哥大学物理系，获博士学位。2002至2005年任葡萄牙里斯本科技大学博士后。现为北京师范大学物理系教授、博 导，2012年入选教育部“新世纪优秀人才支持计划”，国际知名物理期刊 Classical and Quantum Gravity编委。研究领域包括:广义相对论、黑洞的经典及热力学性质等。

Abstract:

  It is well-known that the mass of a non-asymptotically flat spacetime cannot be uniquely defined. A reasonable definition of mass for the Kerr-AdS black hole has been found and widely used in studying black hole thermodynamics. However, the derivation usually needs a background subtraction to eliminate the divergence. It is also unknown whether this formula can be extended to a more general form. In this paper, we provide a more straightforward derivation for the mass formula, only demanding that the first law of black hole thermodynamics and Smarr formula are satisfied. We first make use of the Iyer-Wald formalism to derive a first law of charged Kerr-AdS black hole in the extended phase space. However, this mass is obviously not integrable. We then modify the coefficients of the first law to make the mass integrable. Finally, by applying the scaling argument to the modified first law, we obtain the Smarr formula, i.e., the explicit form of the mass. Remarkably, our mass formula contains a free parameter and when it is set to zero, we recover the familiar mass formula in the literature. Moreover, by making use of the gauge freedom of the Killing vector field, we find a favorite parameter t’ which just gives the first law and makes the mass integrable. This mass formula has not been widely noticed, and could have important applications in future studies.

时间&地点：2023年5月25日，3:15PM，物理学院425室