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arXiv · 2009.03453

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

Paul R. Anderson·Shohreh Gholizadeh Siahmazgi·Raymond D. Clark·Alessandro Fabbri
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Abstract

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.

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Paul R. Anderson, Shohreh Gholizadeh Siahmazgi, Raymond D. Clark, Alessandro Fabbri. 2020-09-07. Method to compute the stress-energy tensor for a quantized scalar field when a black hole forms from the collapse of a null shell. https://doi.org/10.1103/physrevd.102.125035

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