THERMAL PROPERTIES OF KERR-NEWMAN-DE SITTER XY BLACK HOLES

Hawking radiation of scalar particles of Kerr-Newman-de Sitter XY (KNdSXY) black holes is studied by using complex analytical continuation (CAC) technique. We derive the surface gravity κ_h,κ_c and Hawking temperature T_b,T_c of the event horizons r₊,r₊₊. All of them are proportional to (|A|)^1/2, where A is an indefinite multiple of KNdSXY metric.     

CALCULATION OF α_3 COEFFICIENT OF SCALAR FIELD BY POINT SEPARATION METHOD

The α_3 coefficient of scalar field in arbitrary Riemann space-time background is calculated by point separation method in this article. The primary expression of α_3 involves 25 invariants. Using the identities derived in the appendix, we can reduce α_3 from 25 invariants to 17 invariants which agree with Gilkey's formula for α_s coefficient of the scalar field derived by geometric methods and reasons. Recently we derived two important invariant identilies, using these identities we can reduce α_3 from 17 invariants to 15 invariants which would much simplify the calculation of the energymomentum tensor of vacuum polarization.     

一个避免奇点的振荡式反弹宇宙模型

对于K>0的经典Friedmann时空(有奇点),求其共形不变的能动张量的反常迹(相应于背景时空真空涨落的单圈项)和经典作用量Γ₀的量子修正项Γ₁,从而导出了一个半经典的Einstein场方程.选用合理的边界条件,解此方程,得到了一个能够避免奇点的、时间对称的振荡式反弹的宇宙解.     

Kerr时空中任意自旋的统一场方程的退耦和分离变量

通过微扰与退耦计算得到,在Kerr时空中对于静止质量为零、自旋为任意值的粒子场,所有场分量都能退耦,再采用Kinnersley零标架证明:只有中微子场的两个分量和电磁场的两个分量可以分离变量。     

Dirac粒子的Hawking蒸发

在Kerr背景时空中求解Dirac方程是一个长期没有解决的问题。1976年Chandrasekhar成功地找到了Kerr背景时空中静止质量不为零的Dirac方程的退耦和分离变量的量子方程。本文在此基础上,在近似极端Kerr黑洞的事件视界附近找到了静止质量不为零的Dirac方程的解,并成功地导出了Hawking热谱公式,从而解决了Dirac粒子在Kerr黑洞的Hawking蒸发问题。 关键词：     

ASYMPTOTIC EXPANSION OF GREEN FUNCTION OR HEAT KERNEL IN SPACE WITH TORSION

An algorithm for asymptotic expansion of Green function or heat kemel in space with torsion is proposed. The De Witt-Seeley-Gilkey coeffcient E₂(x) is calculated.     

用旋量零标架方法计算氢原子能级

本文用旋量零标架方法计算相对论性氢原子能级,所得结果与Γ矩阵方法算得的结果一样,但不明显地使用任何对易关系。 关键词：     

Kerr-Newman时空中荷电Dirac粒子的Hawking辐射

本文研究任意Kerr-Newman黑洞视界曲面上荷电Dirac粒子的Hawking辐射,首先构造了一套“对称零标架”,用这套零标架计算了旋系数,导出了Dirac方程,在视界曲面附近解Dirac方程。得到荷电Dirac粒子四分量波函数的显示表式。利用解析延拓技巧,最后得到荷电Dirac粒子Hawking辐射的热谱公式。 关键词：     

VACUUM POLARIZATION ENERGYMOMENTUM TENSORS FOR SCALAR FIELD IN CURVED SPACETIME

The general expression of vacuum polarization energymomentum tensors for scalar field is derived in one loop approximation. Some special cases are discussed. Parts of the energymomentum tensors for scalar field around the Kerr-Newman blackholes are calculated.     

A NEW DIRECT METHOD FOR HEAT KERNEL EXPANSION IN CURVED SPACE AND THE RESUMMED FORM OF NONDERIVATIVE TERM

A new method is proposed for heat kernel expansion in curved space, without using the recursion relation. The existence of the resummed form of nonderivative terms arising out of X from the operator A =-□+ X is proved. The De Witt-Seeley-Gilkey coefficients E₂(x) and E₄(x) are derived.