Low-frequency scalar absorption cross sections for stationary black holes

A Higuchi

doi:10.1088/0264-9381/18/20/102

Low-frequency scalar absorption cross sections for stationary black holes

A Higuchi

Mathematics

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

Abstract

We discuss the absorption cross section for the minimally-coupled massless scalar field into a stationary and circularly symmetric black hole with nonzero angular velocity in four or higher dimensions. In particular, we show that it equals the horizon area in the zero-frequency limit provided that the solution of the scalar field equation with an incident monochromatic plane wave converges pointwise to a smooth time-independent solution outside the black hole and on the future horizon, with the error term being at most linear in the frequency. We also show that this equality holds for static black holes which are not necessarily spherically symmetric. The zero-frequency scattering cross section is found to vanish in both cases.

Original language	English
Pages (from-to)	L139-L144
Number of pages	6
Journal	Classical and Quantum Gravity
Volume	18
Issue number	20
DOIs	https://doi.org/10.1088/0264-9381/18/20/102
Publication status	Published - 21 Oct 2001

Keywords

GREYBODY FACTORS
BARYON NUMBER
D-BRANES
NONEXISTENCE
PARTICLES
EMISSION
RATES

Access to Document

10.1088/0264-9381/18/20/102

http://dx.doi.org/10.1088/0264-9381/18/20/102

Cite this

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abstract = "We discuss the absorption cross section for the minimally-coupled massless scalar field into a stationary and circularly symmetric black hole with nonzero angular velocity in four or higher dimensions. In particular, we show that it equals the horizon area in the zero-frequency limit provided that the solution of the scalar field equation with an incident monochromatic plane wave converges pointwise to a smooth time-independent solution outside the black hole and on the future horizon, with the error term being at most linear in the frequency. We also show that this equality holds for static black holes which are not necessarily spherically symmetric. The zero-frequency scattering cross section is found to vanish in both cases.",

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PY - 2001/10/21

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N2 - We discuss the absorption cross section for the minimally-coupled massless scalar field into a stationary and circularly symmetric black hole with nonzero angular velocity in four or higher dimensions. In particular, we show that it equals the horizon area in the zero-frequency limit provided that the solution of the scalar field equation with an incident monochromatic plane wave converges pointwise to a smooth time-independent solution outside the black hole and on the future horizon, with the error term being at most linear in the frequency. We also show that this equality holds for static black holes which are not necessarily spherically symmetric. The zero-frequency scattering cross section is found to vanish in both cases.

AB - We discuss the absorption cross section for the minimally-coupled massless scalar field into a stationary and circularly symmetric black hole with nonzero angular velocity in four or higher dimensions. In particular, we show that it equals the horizon area in the zero-frequency limit provided that the solution of the scalar field equation with an incident monochromatic plane wave converges pointwise to a smooth time-independent solution outside the black hole and on the future horizon, with the error term being at most linear in the frequency. We also show that this equality holds for static black holes which are not necessarily spherically symmetric. The zero-frequency scattering cross section is found to vanish in both cases.

KW - GREYBODY FACTORS

KW - BARYON NUMBER

KW - D-BRANES

KW - NONEXISTENCE

KW - PARTICLES

KW - EMISSION

KW - RATES

U2 - 10.1088/0264-9381/18/20/102

DO - 10.1088/0264-9381/18/20/102

M3 - Article

SN - 1361-6382

VL - 18

SP - L139-L144

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

IS - 20

ER -