NDLI: Hawking temperature in the eternal BTZ black hole: an example of holography in AdS spacetime

Content Provider	Springer Nature Link
Author	Ortíz, L.
Copyright Year	2012
Abstract	We review the relation between AdS spacetime in 1 $$+$$ 2 dimensions and the BTZ black hole (BTZbh). Later we show that a ground state in AdS spacetime becomes a thermal state in the BTZbh. We show that this is true in the bulk and in the boundary of AdS spacetime. The existence of this thermal state is tantamount to say that the Unruh effect exists in AdS spacetime and becomes the Hawking effect for an eternal BTZbh. In order to make this we use the correspondence introduced in algebraic holography between algebras of quasi-local observables associated to wedges and double cones regions in the bulk of AdS spacetime and its conformal boundary respectively. Also we give the real scalar quantum field as a concrete heuristic realization of this formalism.
Starting Page	427
Ending Page	448
Page Count	22
File Format	PDF
ISSN	00017701
Journal	General Relativity and Gravitation
Volume Number	45
Issue Number	2
e-ISSN	15729532
Language	English
Publisher	Springer US
Publisher Date	2012-11-07
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	BTZ black hole Holography AdS spacetime AdS/CFT Theoretical, Mathematical and Computational Physics Classical and Quantum Gravitation, Relativity Theory Differential Geometry Quantum Physics Astronomy, Astrophysics and Cosmology Cosmology
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy

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Hawking temperature in the eternal BTZ black hole: an example of holography in AdS spacetime