Method to compute the stress-energy tensor for a quantized scalar field when a black hole forms from the collapse of a null shell

被引：8

作者：

Anderson, Paul R. ^{[1
]}

Siahmazgi, Shohreh Gholizadeh ^{[1
]}

Clark, Raymond D. ^{[1
]}

Fabbri, Alessandro ^{[2
,3
,4
]}

机构：

[1] Wake Forest Univ, Dept Phys, Winston Salem, NC 27109 USA

[2] Univ Valencia, Dept Fis Teor, CSIC, C Dr Moliner 50, Burjassot 46100, Spain

[3] Univ Valencia, IFIC, CSIC, C Dr Moliner 50, Burjassot 46100, Spain

[4] Univ Paris Saclay, CNRS, IN2P3, IJC Lab, F-91405 Orsay, France

来源：

PHYSICAL REVIEW D | 2020年 / 102卷 / 12期

基金：

美国国家科学基金会;

关键词：

MOMENTUM TENSOR;

D O I：

10.1103/PhysRevD.102.125035

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

A method is given to compute the stress-energy tensor for a massless minimally coupled scalar field in a spacetime where a black hole forms from the collapse of a spherically symmetric null shell in four dimensions. Part of the method involves matching the modes for the in vacuum state to a complete set of modes in Schwarzschild spacetime. The other part involves subtracting from the unrenormalized expression for the stress-energy tensor when the field is in the in vacuum state, the corresponding expression when the field is in the Unruh state and adding to this the renormalized stress-energy tensor for the field in the Unruh state. The method is shown to work in the two-dimensional case where the results are known.

引用

页数：26

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