Using a new tortoise coordinate transformation,we discuss the quantum nonthermal radiation characteristics near an event horizon by studying the Hamilton-Jacobi equation of a scalar particle in curved space-time,and o...Using a new tortoise coordinate transformation,we discuss the quantum nonthermal radiation characteristics near an event horizon by studying the Hamilton-Jacobi equation of a scalar particle in curved space-time,and obtain the event horizon surface gravity and the Hawking temperature on that event horizon.The results show that there is a crossing of particle energy near the event horizon.We derive the maximum overlap of the positive and negative energy levels.It is also found that the Hawking temperature of a black hole depends not only on the time,but also on the angle.There is a problem of dimension in the usual tortoise coordinate,so the present results obtained by using a correct-dimension new tortoise coordinate transformation may be more reasonable.展开更多
根据时空对称性,确定了整体单极Anti de Sitter(AdS)黑洞的事件视界和宇宙视界的位置,利用Damour Ruffini方法研究了AdS黑洞的温度,给出了Klein Gordon方程在视界附近的渐近解.通过引入Edding ton Finkelstein坐标,解波动方程所获得的热...根据时空对称性,确定了整体单极Anti de Sitter(AdS)黑洞的事件视界和宇宙视界的位置,利用Damour Ruffini方法研究了AdS黑洞的温度,给出了Klein Gordon方程在视界附近的渐近解.通过引入Edding ton Finkelstein坐标,解波动方程所获得的热谱,证实了AdS黑洞具有Hawking辐射.展开更多
In the process of dealing with the Hawking effect of Dirac particles in the non-stationary Kerr space-time, a new universal method to define the generalized Tortoise coordinate transformation is given. By means of thi...In the process of dealing with the Hawking effect of Dirac particles in the non-stationary Kerr space-time, a new universal method to define the generalized Tortoise coordinate transformation is given. By means of this coordinate transformation, one can discuss the properties of the dynamical equation of particles near event horizons, and get automatically the temperature of Hawking radiation using the method suggested by Damour and others, and thereby dodge the difficulties in calculating the renormalised energy-momentum tensor.展开更多
基金Project supported by the National Natural Science Foundation of China (Grant Nos. 10873003,11045005,and 11273009)the Natural Science Foundation of Zhejiang Province,China (Grant No. Y6090739)
文摘Using a new tortoise coordinate transformation,we discuss the quantum nonthermal radiation characteristics near an event horizon by studying the Hamilton-Jacobi equation of a scalar particle in curved space-time,and obtain the event horizon surface gravity and the Hawking temperature on that event horizon.The results show that there is a crossing of particle energy near the event horizon.We derive the maximum overlap of the positive and negative energy levels.It is also found that the Hawking temperature of a black hole depends not only on the time,but also on the angle.There is a problem of dimension in the usual tortoise coordinate,so the present results obtained by using a correct-dimension new tortoise coordinate transformation may be more reasonable.
文摘根据时空对称性,确定了整体单极Anti de Sitter(AdS)黑洞的事件视界和宇宙视界的位置,利用Damour Ruffini方法研究了AdS黑洞的温度,给出了Klein Gordon方程在视界附近的渐近解.通过引入Edding ton Finkelstein坐标,解波动方程所获得的热谱,证实了AdS黑洞具有Hawking辐射.
基金Project supported by the National Natural Science Foundation of China.
文摘In the process of dealing with the Hawking effect of Dirac particles in the non-stationary Kerr space-time, a new universal method to define the generalized Tortoise coordinate transformation is given. By means of this coordinate transformation, one can discuss the properties of the dynamical equation of particles near event horizons, and get automatically the temperature of Hawking radiation using the method suggested by Damour and others, and thereby dodge the difficulties in calculating the renormalised energy-momentum tensor.
