Linear growth of the two-point function for the Unruh state in 1 + 1 dimensional black holes

Linear growth of the two-point function for the Unruh state in 1 + 1 dimensional black holes
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1 1 维黑洞中 Unruh 态两点函数的线性增长

DOI:
10.1142/9789811269776_0100
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发表时间:
2023
期刊:
Proceedings of the Sixteenth Marcel Grossmann Meeting on General Relativity
影响因子:
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通讯作者:
Traschen, Jennie
Traschen, Jennie
中科院分区:
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文献类型:
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作者:
Anderson, Paul R.;Scofield, Zachary P.;Traschen, Jennie

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在二维Schwarzschild-de Sitter时空中,研究了Unruh态无质量最小耦合标量场的对称两点函数。当这些点在空间方向上分裂时,这个函数根据在未来黑洞和宇宙学视界上定义良好的时间坐标线性增长。当场处于Unruh状态时,这种类型的行为也发生在其他静态黑洞时空的二维中,并且在较晚的时候,它发生在由空壳坍塌形成黑洞的时空中。讨论了Schwarzschild-de Sitter时空中质量标量场在二维对称两点函数情形的推广。
The symmetric two-point function for a massless, minimally coupled scalar field in the Unruh state is examined for Schwarzschild-de Sitter spacetime in two dimensions. This function grows linearly in terms of a time coordinate that is well-defined on the future black hole and cosmological horizons, when the points are split in the space direction. This type of behavior also occurs in two dimensions for other static black hole spacetimes when the field is in the Unruh state, and at late times it occurs in spacetimes where a black hole forms from the collapse of a null shell. The generalization to the case of the symmetric two-point function in two dimensions for a massive scalar field in Schwarzschild-de Sitter spacetime is discussed.