6533b82ffe1ef96bd129527d
RESEARCH PRODUCT
Method to compute the stress-energy tensor for a quantized scalar field when a black hole forms from the collapse of a null shell
Alessandro FabbriAlessandro FabbriShohreh Gholizadeh SiahmazgiPaul R. AndersonRaymond D. Clarksubject
High Energy Physics - Theorydimension: 4space-time: SchwarzschildField (physics)Vacuum stateFOS: Physical sciencesGeneral Relativity and Quantum Cosmology (gr-qc)coupling: scalarcoupling: minimal01 natural sciencesGeneral Relativity and Quantum Cosmologyrenormalizationvacuum stateGeneral Relativity and Quantum Cosmologyblack hole: formation0103 physical sciencesStress–energy tensorsymmetry: rotationTensordimension: 2010306 general physicsMathematical physicsPhysics[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th]010308 nuclear & particles physicsshell modelfield theory: scalarfield theory in curved spacegravitation: collapseBlack holeFormal aspects of field theoryUnruh effectHigh Energy Physics - Theory (hep-th)tensor: energy-momentum[PHYS.GRQC]Physics [physics]/General Relativity and Quantum Cosmology [gr-qc]quantizationSchwarzschild radiusScalar fielddescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2020-09-07 | Physical Review D |