Details
Original language | English |
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Article number | 105008 |
Journal | Classical and quantum gravity |
Volume | 35 |
Issue number | 10 |
Publication status | Published - 11 Apr 2018 |
Abstract
Certain dynamical black hole solutions can be mapped to static spacetimes by conformal metric transformations. This mapping provides a physical link between the conformal Killing horizon of the dynamical black hole and the Killing horizon of the static spacetime. Using the Vaidya spacetime as an example, we show how this conformal relation can be used to derive thermodynamic properties of such dynamical black holes. Although these horizons are defined quasi-locally and can be located by local experiments, they are distinct from other popular notions of quasi-local horizons such as apparent horizons. Thus in the dynamical Vaidya spacetime describing constant accretion of null dust, the conformal Killing horizon, which is null by construction, is the natural horizon to describe the black hole.
Keywords
- black holes, horizons, thermodynamics
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Physics and Astronomy (miscellaneous)
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In: Classical and quantum gravity, Vol. 35, No. 10, 105008, 11.04.2018.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Conformal Killing horizons and their thermodynamics
AU - Nielsen, Alex B.
AU - Shoom, Andrey A.
N1 - Funding Information: AAS is grateful to the Natural Sciences and Engineering Research Council of Canada Discovery Grant No. 261429-2013 for its financial support.
PY - 2018/4/11
Y1 - 2018/4/11
N2 - Certain dynamical black hole solutions can be mapped to static spacetimes by conformal metric transformations. This mapping provides a physical link between the conformal Killing horizon of the dynamical black hole and the Killing horizon of the static spacetime. Using the Vaidya spacetime as an example, we show how this conformal relation can be used to derive thermodynamic properties of such dynamical black holes. Although these horizons are defined quasi-locally and can be located by local experiments, they are distinct from other popular notions of quasi-local horizons such as apparent horizons. Thus in the dynamical Vaidya spacetime describing constant accretion of null dust, the conformal Killing horizon, which is null by construction, is the natural horizon to describe the black hole.
AB - Certain dynamical black hole solutions can be mapped to static spacetimes by conformal metric transformations. This mapping provides a physical link between the conformal Killing horizon of the dynamical black hole and the Killing horizon of the static spacetime. Using the Vaidya spacetime as an example, we show how this conformal relation can be used to derive thermodynamic properties of such dynamical black holes. Although these horizons are defined quasi-locally and can be located by local experiments, they are distinct from other popular notions of quasi-local horizons such as apparent horizons. Thus in the dynamical Vaidya spacetime describing constant accretion of null dust, the conformal Killing horizon, which is null by construction, is the natural horizon to describe the black hole.
KW - black holes
KW - horizons
KW - thermodynamics
UR - http://www.scopus.com/inward/record.url?scp=85046251408&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1708.08015
DO - 10.48550/arXiv.1708.08015
M3 - Article
AN - SCOPUS:85046251408
VL - 35
JO - Classical and quantum gravity
JF - Classical and quantum gravity
SN - 0264-9381
IS - 10
M1 - 105008
ER -