Hawking Radiation from Black Holes Formed During Quantum Tunneling
Hawking Radiation from Black Holes Formed During Quantum Tunneling
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发表时间：
2008
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通讯作者：
J. Henry
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作者：
J. Henry
我们研究了经过量子隧穿的背景几何上标量场的行为。考虑的两个例子是平面空间中的移动镜子，它穿过势垒，和一个假真空泡，它穿过势垒形成黑洞。对Schrödinger和Wheeler-DeWitt方程进行了WKB近似，从而在经典允许的几何形状之间插值欧几里得度量解上求解场方程。然后，可以使用鲁巴科夫提出的非酉波古卢波夫变换方法来确定隧穿后的场的状态。结果表明，隧道的作用是抑制最初存在的任何激励，并且，在黑洞的情况下，欧几里得克鲁斯卡尔流形上的场的行为确保了在霍金温度下的晚时间辐射将是热的。
We study the behaviour of scalar fields on background geometries which undergo quantum tunneling. The two examples considered are a moving mirror in flat space which tunnels through a potential barrier, and a false vacuum bubble which tunnels to form a black hole. WKB approximations to the Schrödinger and Wheeler-DeWitt equations are made, leading one to solve field equations on the Euclidean metric solution interpolating between the classically allowed geometries. The state of the field after tunneling can then be determined using the method of non-unitary Bogolubov transformations developed by Rubakov. It is shown that the effect of the tunneling is to damp any excitations initially present, and, in the case of the black hole, that the behaviour of fields on the Euclidean Kruskal manifold ensures that the late time radiation will be thermal at the Hawking temperature.