Interaction of Hawking radiation with static sources outside a Schwarzschild black hole

A Higuchi; G E A Matsas; D Sudarsky

Interaction of Hawking radiation with static sources outside a Schwarzschild black hole

A Higuchi, G E A Matsas, D Sudarsky

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We show that the response rate of (i) a static source interacting with Hawking radiation of a massless scalar held in Schwarzschild spacetime (with the Unruh vacuum) and that of (ii) a uniformly accelerated source with the same proper acceleration in Minkowski spacetime (with the Minkowski vacuum) are equal. We show that this equality will not hold if the Unruh vacuum is replaced by the Hartle-Hawking Vacuum. It is verified that the source responds to the Hawking radiation near the horizon as if it were at rest in a thermal bath in Minkowski spacetime with the same temperature. It is also verified that the response rate in the Hartle-Hawking vacuum approaches that in Minkowski spacetime with the same temperature far away from the black hole. Finally, we compare our results with others in the literature. [S0556-2821(98)02922-1].

Original language	English
Article number	104021
Pages (from-to)	-
Number of pages	10
Journal	Physical Review D
Volume	5810
Issue number	10
Publication status	Published - 15 Nov 1998

Keywords

ACCELERATED PARTICLE DETECTORS
QUANTUM FIELD-THEORY
THERMAL BATH
SPACE-TIME
RINDLER
DERIVATION
STATIONARY
OSCILLATOR

Cite this

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title = "Interaction of Hawking radiation with static sources outside a Schwarzschild black hole",

abstract = "We show that the response rate of (i) a static source interacting with Hawking radiation of a massless scalar held in Schwarzschild spacetime (with the Unruh vacuum) and that of (ii) a uniformly accelerated source with the same proper acceleration in Minkowski spacetime (with the Minkowski vacuum) are equal. We show that this equality will not hold if the Unruh vacuum is replaced by the Hartle-Hawking Vacuum. It is verified that the source responds to the Hawking radiation near the horizon as if it were at rest in a thermal bath in Minkowski spacetime with the same temperature. It is also verified that the response rate in the Hartle-Hawking vacuum approaches that in Minkowski spacetime with the same temperature far away from the black hole. Finally, we compare our results with others in the literature. [S0556-2821(98)02922-1].",

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TY - JOUR

T1 - Interaction of Hawking radiation with static sources outside a Schwarzschild black hole

AU - Higuchi, A

AU - Matsas, G E A

AU - Sudarsky, D

PY - 1998/11/15

Y1 - 1998/11/15

N2 - We show that the response rate of (i) a static source interacting with Hawking radiation of a massless scalar held in Schwarzschild spacetime (with the Unruh vacuum) and that of (ii) a uniformly accelerated source with the same proper acceleration in Minkowski spacetime (with the Minkowski vacuum) are equal. We show that this equality will not hold if the Unruh vacuum is replaced by the Hartle-Hawking Vacuum. It is verified that the source responds to the Hawking radiation near the horizon as if it were at rest in a thermal bath in Minkowski spacetime with the same temperature. It is also verified that the response rate in the Hartle-Hawking vacuum approaches that in Minkowski spacetime with the same temperature far away from the black hole. Finally, we compare our results with others in the literature. [S0556-2821(98)02922-1].

AB - We show that the response rate of (i) a static source interacting with Hawking radiation of a massless scalar held in Schwarzschild spacetime (with the Unruh vacuum) and that of (ii) a uniformly accelerated source with the same proper acceleration in Minkowski spacetime (with the Minkowski vacuum) are equal. We show that this equality will not hold if the Unruh vacuum is replaced by the Hartle-Hawking Vacuum. It is verified that the source responds to the Hawking radiation near the horizon as if it were at rest in a thermal bath in Minkowski spacetime with the same temperature. It is also verified that the response rate in the Hartle-Hawking vacuum approaches that in Minkowski spacetime with the same temperature far away from the black hole. Finally, we compare our results with others in the literature. [S0556-2821(98)02922-1].

KW - ACCELERATED PARTICLE DETECTORS

KW - QUANTUM FIELD-THEORY

KW - THERMAL BATH

KW - SPACE-TIME

KW - RINDLER

KW - DERIVATION

KW - STATIONARY

KW - OSCILLATOR

M3 - Article

SN - 0556-2821

VL - 5810

SP - -

JO - Physical Review D

JF - Physical Review D

IS - 10

M1 - 104021

ER -