论文标题

卡斯纳(Kasner)空间中的引力波和rendler楔子中的林德(Rindler)

Gravitational waves in Kasner spacetimes and Rindler wedges in Regge-Wheeler gauge: Unruh effect

论文作者

Sugiyama, Yuuki, Yamamoto, Kazuhiro, Kobayashi, Tsutomu

论文摘要

我们将来得出了重力波的解决方案(F)扩展和过去(P)缩小Kanser的空位以及左侧(L)和右(R)Rindler楔形物的Regge-Wheeler仪表中。所有度量组件的溶液以每个区域的分析形式获得。我们识别出等同于无质量标量场的主变量,以描述奇数平价的重力自由度,甚至在二维平面对称空间中转换下的奇偶校验模式。然后,对主变量进行了量化,并发展了F,P,L和R区域中重力波的量子场理论。我们证明,左右rindler楔块中量化的重力波的模式函数是通过在Kasner Spacetime中的左移动和右移动波模式的分析延续获得的。在这些分析的基础上,我们讨论了Minkowski时空中均匀加速运动中观察者量化引力波的未造成效应。

We derive the solutions of gravitational waves in the future (F) expanding and the past (P) shrinking Kanser spacetimes as well as in the left (L) and right (R) Rindler wedges in the Regge-Wheeler gauge. The solutions for all metric components are obtained in an analytic form in each region. We identify the master variables, which are equivalent to massless scalar fields, to describe the gravitational degrees of freedom for the odd parity and even parity modes under the transformation in the two-dimensional plane symmetric space. Then, the master variables are quantized, and we develop the quantum field theory of the gravitational waves in the F, P, L, and R regions. We demonstrate that the mode functions of the quantized gravitational waves in the left and right Rindler wedges are obtained by an analytic continuation of the left-moving and right-moving wave modes in Kasner spacetime. On the basis of these analyses, we discuss the Unruh effect of quantized gravitational waves for an observer in a uniformly accelerated motion in Minkowski spacetime.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源