The delocalized effective degrees of freedom of a black hole at low frequencies

Barak Kol

doi:10.1007/s10714-008-0673-x

The delocalized effective degrees of freedom of a black hole at low frequencies

Barak Kol^*

^*Corresponding author for this work

Racah Institute of Physics

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

10 Scopus citations

Abstract

Identifying the fundamental degrees of freedom of a black hole poses a long-standing puzzle. Recently Goldberger and Rothstein forwarded a theory of the low frequency degrees of freedom within the effective field theory approach, where they are relevancy ordered but of unclear physical origin. Here these degrees of freedom are identified with near-horizon but non-compact gravitational perturbations which are decomposed into delocalized multipoles. Their world-line (kinetic) action is determined within the classical effective field theory (CLEFT) approach and their interactions are discussed. The case of the long-wavelength scattering of a scalar wave off a Schwarzschild black hole is treated in some detail, interpreting within the CLEFT approach the equality of the leading absorption cross section with the horizon area.

Original language	American English
Pages (from-to)	2061-2068
Number of pages	8
Journal	General Relativity and Gravitation
Volume	40
Issue number	10
DOIs	https://doi.org/10.1007/s10714-008-0673-x
State	Published - Oct 2008

Bibliographical note

Funding Information:
Acknowledgments I would like to thank the members of our group for comments on a talk. This research is supported by The Israel Science Foundation grant no 607/05, DIP grant H.52, EU grant MRTN-CT-2004-512194 and the Einstein Center at the Hebrew University.

Keywords

Black holes
Effective field theory

Access to Document

10.1007/s10714-008-0673-x

Cite this

@article{e685f13f85c841a1b92f46826357a05c,

title = "The delocalized effective degrees of freedom of a black hole at low frequencies",

abstract = "Identifying the fundamental degrees of freedom of a black hole poses a long-standing puzzle. Recently Goldberger and Rothstein forwarded a theory of the low frequency degrees of freedom within the effective field theory approach, where they are relevancy ordered but of unclear physical origin. Here these degrees of freedom are identified with near-horizon but non-compact gravitational perturbations which are decomposed into delocalized multipoles. Their world-line (kinetic) action is determined within the classical effective field theory (CLEFT) approach and their interactions are discussed. The case of the long-wavelength scattering of a scalar wave off a Schwarzschild black hole is treated in some detail, interpreting within the CLEFT approach the equality of the leading absorption cross section with the horizon area.",

keywords = "Black holes, Effective field theory",

author = "Barak Kol",

note = "Funding Information: Acknowledgments I would like to thank the members of our group for comments on a talk. This research is supported by The Israel Science Foundation grant no 607/05, DIP grant H.52, EU grant MRTN-CT-2004-512194 and the Einstein Center at the Hebrew University.",

year = "2008",

month = oct,

doi = "10.1007/s10714-008-0673-x",

language = "American English",

volume = "40",

pages = "2061--2068",

journal = "General Relativity and Gravitation",

issn = "0001-7701",

publisher = "Springer New York",

number = "10",

}

TY - JOUR

T1 - The delocalized effective degrees of freedom of a black hole at low frequencies

AU - Kol, Barak

N1 - Funding Information: Acknowledgments I would like to thank the members of our group for comments on a talk. This research is supported by The Israel Science Foundation grant no 607/05, DIP grant H.52, EU grant MRTN-CT-2004-512194 and the Einstein Center at the Hebrew University.

PY - 2008/10

Y1 - 2008/10

N2 - Identifying the fundamental degrees of freedom of a black hole poses a long-standing puzzle. Recently Goldberger and Rothstein forwarded a theory of the low frequency degrees of freedom within the effective field theory approach, where they are relevancy ordered but of unclear physical origin. Here these degrees of freedom are identified with near-horizon but non-compact gravitational perturbations which are decomposed into delocalized multipoles. Their world-line (kinetic) action is determined within the classical effective field theory (CLEFT) approach and their interactions are discussed. The case of the long-wavelength scattering of a scalar wave off a Schwarzschild black hole is treated in some detail, interpreting within the CLEFT approach the equality of the leading absorption cross section with the horizon area.

AB - Identifying the fundamental degrees of freedom of a black hole poses a long-standing puzzle. Recently Goldberger and Rothstein forwarded a theory of the low frequency degrees of freedom within the effective field theory approach, where they are relevancy ordered but of unclear physical origin. Here these degrees of freedom are identified with near-horizon but non-compact gravitational perturbations which are decomposed into delocalized multipoles. Their world-line (kinetic) action is determined within the classical effective field theory (CLEFT) approach and their interactions are discussed. The case of the long-wavelength scattering of a scalar wave off a Schwarzschild black hole is treated in some detail, interpreting within the CLEFT approach the equality of the leading absorption cross section with the horizon area.

KW - Black holes

KW - Effective field theory

UR - http://www.scopus.com/inward/record.url?scp=52549086755&partnerID=8YFLogxK

U2 - 10.1007/s10714-008-0673-x

DO - 10.1007/s10714-008-0673-x

M3 - Article

AN - SCOPUS:52549086755

SN - 0001-7701

VL - 40

SP - 2061

EP - 2068

JO - General Relativity and Gravitation

JF - General Relativity and Gravitation

IS - 10

ER -

The delocalized effective degrees of freedom of a black hole at low frequencies

Abstract

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Cite this