In this paper, the author presents a framework for getting a series of exact vacuum solutions to the Einstein equation. This procedure of resolution is based on a canonical form of the metric. According to this proced...In this paper, the author presents a framework for getting a series of exact vacuum solutions to the Einstein equation. This procedure of resolution is based on a canonical form of the metric. According to this procedure, the Einstein equation can be reduced to some 2-dimensional Laplace-like equations or rotation and divergence equations, which are much convenient for the resolution.展开更多
The entropy density, energy density, pressure, and equation of state of an ideal relativistic gas around the Schwarzschild-anti-de Sitter black hole with a global monopole are investigated by using the brick-wall meth...The entropy density, energy density, pressure, and equation of state of an ideal relativistic gas around the Schwarzschild-anti-de Sitter black hole with a global monopole are investigated by using the brick-wall method. It is shown that the sub-leading term with spin-dependence exists and that the corrected expression for any spin field is very different from that for scalar field. The usual result that these thermodynamical quantities take the same forms as those in fiat spacetime holds only for the leading term.展开更多
文摘In this paper, the author presents a framework for getting a series of exact vacuum solutions to the Einstein equation. This procedure of resolution is based on a canonical form of the metric. According to this procedure, the Einstein equation can be reduced to some 2-dimensional Laplace-like equations or rotation and divergence equations, which are much convenient for the resolution.
基金The project supported by the Natural Science Foundation of Zhanjiang Normal College under Grant No.L0612
文摘The entropy density, energy density, pressure, and equation of state of an ideal relativistic gas around the Schwarzschild-anti-de Sitter black hole with a global monopole are investigated by using the brick-wall method. It is shown that the sub-leading term with spin-dependence exists and that the corrected expression for any spin field is very different from that for scalar field. The usual result that these thermodynamical quantities take the same forms as those in fiat spacetime holds only for the leading term.
