Sonic velocity in holographic fluids and its applications

Gravity/fluid correspondence acts as an important tool in investigating the strongly correlated fluids.We carefully investigate the holographic fluids at the finite cutoff surface by considering different boundary conditions in the scenario of gravity/fluid correspondence. We find that the sonic velocity of the boundary fluids at the finite cutoff surface is critical in clarifying the superficial similarity between the bulk viscosity and perturbation of the pressure for the holographic fluid, where we set a special boundary condition at the finite cutoff surface to explicitly express this superficial similarity. Moreover, we further take the sonic velocity into account to investigate a case with a more general boundary condition. In this more genaral case, although two parameters in the first order stress tensor of holographic fluid cannot be fixed, one can still extract the information about the transport coefficients by considering the sonic velocity seriously.     

黑洞物理

 什么是黑洞?通常的答案是:黑洞是非常致密的天体,它的引力是如此之强以致连光也无法逃逸。而在广义相对论中,它的定义是"黑洞是时空中连光都无法逃逸的区域"。     

Reissner-Nordstrom黑洞中带电粒子由隧穿导致的Hawking辐射的进一步讨论

以Reissner-Nordstrom黑洞(R-N黑洞)为例，从黑洞热力学定律出发，对R-N黑洞中的带电粒子的量子隧穿效应进行了重新分析.将作用量的虚部重写成黑洞热力学定律的形式后，发现在Parikh工作框架下的量子隧穿效应与黑洞热力学的第一、第二定律有潜在的联系；而且，如果认为量子隧穿过程为可逆过程，则量子隧穿效应中的结果与黑洞热力学第一、第二定律是一致的.换而言之，Parikh的结论只对可逆过程成立. 关键词： Reissner-Nordstrom黑洞 黑洞热力学定律 隧穿 可逆过程     

Hawking Radiation from the Horowitz-Strominger Black Hole

When a black hole radiates particles, it losses energy and shrinks, the horizon contracts from its original radius to a new smaller radius. This leads to the separation between the initial and final radii, which sets the barrier for the particles to tunnel We develop the work of Parikh [Phys. Rev. Lett. 85 (2000) 5042; Gen. Rel. Grav. 36 (2004) 2419] to a Horowitz-Strominger black hole, i.e. applying the Wentzel-Kramers-Brillouin approximation and semi-classical method to calculate the rate of the Hawking radiation. The result agrees with Г～e^-21mf=e^△SBH. It is also proven that the energy spectrum deviates from exact thermality.