Chronology protection in stationary 3D spacetimes
Result description
We study chronology protection in stationary, rotationally symmetric spacetimes in 2+1 dimensional gravity, focusing especially on the case of negative cosmological constant. We show that in such spacetimes closed timelike curves must either exist all the way to the boundary or, alternatively, the matter stress tensor must violate the null energy condition in the bulk. We also show that the matter in the closed timelike curve region gives a negative contribution to the conformal weight from the point ofview of the dual conformal field theory. We illustrate these properties in a class of examples involving rotating dust in anti-de Sitter space, and comment on the use of the AdS/CFT correspondence to study chronology protection.
Keywords
conformal field theorycausality violationnull-energy condition violationenergy-momentum tensorAdS/CFTtime machineEinstein equation
The result's identifiers
Result code in IS VaVaI
Alternative codes found
RIV/68378271:_____/11:00425587
Result on the web
DOI - Digital Object Identifier
Alternative languages
Result language
angličtina
Original language name
Chronology protection in stationary 3D spacetimes
Original language description
We study chronology protection in stationary, rotationally symmetric spacetimes in 2+1 dimensional gravity, focusing especially on the case of negative cosmological constant. We show that in such spacetimes closed timelike curves must either exist all the way to the boundary or, alternatively, the matter stress tensor must violate the null energy condition in the bulk. We also show that the matter in the closed timelike curve region gives a negative contribution to the conformal weight from the point ofview of the dual conformal field theory. We illustrate these properties in a class of examples involving rotating dust in anti-de Sitter space, and comment on the use of the AdS/CFT correspondence to study chronology protection.
Czech name
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Czech description
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Classification
Type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BF - Elementary particle theory and high energy physics
OECD FORD branch
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Result continuities
Project
GAP203/11/1388: Black hole microstates and chronology protection in string theory
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of High Energy Physics
ISSN
1126-6708
e-ISSN
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Volume of the periodical
2011
Issue of the periodical within the volume
11
Country of publishing house
US - UNITED STATES
Number of pages
20
Pages from-to
1-19
UT code for WoS article
000297572900053
EID of the result in the Scopus database
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Result type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP
BF - Elementary particle theory and high energy physics
Year of implementation
2011