Non-trivial, static, geodesically complete space-times with a negative cosmological constant II. n ≥ 5

Michael T. Anderson; P. T. Chrusciel; E. Delay

doi:10.4171/013-1/7

Non-trivial, static, geodesically complete space-times with a negative cosmological constant II. n ≥ 5

Michael T. Anderson, P. T. Chrusciel, E. Delay

Publications: Contribution to book › Contribution to proceedings › Peer Reviewed

Abstract

We show that the recent work of Lee [23] implies existence of a large class of new singularity-free strictly static Lorentzian vacuum solutions of the Einstein equations with a negative cosmological constant. This holds in all space-time dimensions greater than or equal to four, and leads both to strictly static solutions and to black hole solutions. The construction allows in principle for metrics (whether black hole or not) with Yang-Mills-dilaton fields interacting with gravity through a Kaluza-Klein coupling.

Original language	English
Title of host publication	AdS /CFT Correspondence: Einstein Metrics and Their Conformal Boundaries
Subtitle of host publication	73rd Meeting of Theoretical Physicists and Mathematicians, Strasbourg, September 11-13, 2003
Editors	Olivier Biquard
Publisher	European Mathematical Society
Pages	165-204
Number of pages	60
ISBN (Electronic)	978-3-03719-513-0
ISBN (Print)	978-3-03719-013-5
DOIs	https://doi.org/10.4171/013-1/7
Publication status	Published - May 2005
Externally published	Yes

Publication series

Series	IRMA Lectures in Mathematics and Theoretical Physics
Volume	8
ISSN	2523-5133

Austrian Fields of Science 2012

101006 Differential geometry

Keywords

gr-qc
hep-th
math.DG

Access to Document

10.4171/013-1/7

https://arxiv.org/abs/gr-qc/0401081

Cite this

Anderson, M. T., Chrusciel, P. T., & Delay, E. (2005). Non-trivial, static, geodesically complete space-times with a negative cosmological constant II. n ≥ 5. In O. Biquard (Ed.), AdS /CFT Correspondence: Einstein Metrics and Their Conformal Boundaries : 73rd Meeting of Theoretical Physicists and Mathematicians, Strasbourg, September 11-13, 2003 (pp. 165-204). European Mathematical Society. https://doi.org/10.4171/013-1/7

Anderson, Michael T. ; Chrusciel, P. T. ; Delay, E. / Non-trivial, static, geodesically complete space-times with a negative cosmological constant II. n ≥ 5. AdS /CFT Correspondence: Einstein Metrics and Their Conformal Boundaries : 73rd Meeting of Theoretical Physicists and Mathematicians, Strasbourg, September 11-13, 2003. editor / Olivier Biquard. European Mathematical Society, 2005. pp. 165-204 (IRMA Lectures in Mathematics and Theoretical Physics, Vol. 8).

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abstract = " We show that the recent work of Lee [23] implies existence of a large class of new singularity-free strictly static Lorentzian vacuum solutions of the Einstein equations with a negative cosmological constant. This holds in all space-time dimensions greater than or equal to four, and leads both to strictly static solutions and to black hole solutions. The construction allows in principle for metrics (whether black hole or not) with Yang-Mills-dilaton fields interacting with gravity through a Kaluza-Klein coupling. ",

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Anderson, MT, Chrusciel, PT & Delay, E 2005, Non-trivial, static, geodesically complete space-times with a negative cosmological constant II. n ≥ 5. in O Biquard (ed.), AdS /CFT Correspondence: Einstein Metrics and Their Conformal Boundaries : 73rd Meeting of Theoretical Physicists and Mathematicians, Strasbourg, September 11-13, 2003. European Mathematical Society, IRMA Lectures in Mathematics and Theoretical Physics, vol. 8, pp. 165-204. https://doi.org/10.4171/013-1/7

Non-trivial, static, geodesically complete space-times with a negative cosmological constant II. n ≥ 5. / Anderson, Michael T.; Chrusciel, P. T.; Delay, E.
AdS /CFT Correspondence: Einstein Metrics and Their Conformal Boundaries : 73rd Meeting of Theoretical Physicists and Mathematicians, Strasbourg, September 11-13, 2003. ed. / Olivier Biquard. European Mathematical Society, 2005. p. 165-204 (IRMA Lectures in Mathematics and Theoretical Physics, Vol. 8).

Publications: Contribution to book › Contribution to proceedings › Peer Reviewed

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N2 - We show that the recent work of Lee [23] implies existence of a large class of new singularity-free strictly static Lorentzian vacuum solutions of the Einstein equations with a negative cosmological constant. This holds in all space-time dimensions greater than or equal to four, and leads both to strictly static solutions and to black hole solutions. The construction allows in principle for metrics (whether black hole or not) with Yang-Mills-dilaton fields interacting with gravity through a Kaluza-Klein coupling.

AB - We show that the recent work of Lee [23] implies existence of a large class of new singularity-free strictly static Lorentzian vacuum solutions of the Einstein equations with a negative cosmological constant. This holds in all space-time dimensions greater than or equal to four, and leads both to strictly static solutions and to black hole solutions. The construction allows in principle for metrics (whether black hole or not) with Yang-Mills-dilaton fields interacting with gravity through a Kaluza-Klein coupling.

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KW - hep-th

KW - math.DG

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BT - AdS /CFT Correspondence: Einstein Metrics and Their Conformal Boundaries

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Anderson MT, Chrusciel PT, Delay E. Non-trivial, static, geodesically complete space-times with a negative cosmological constant II. n ≥ 5. In Biquard O, editor, AdS /CFT Correspondence: Einstein Metrics and Their Conformal Boundaries : 73rd Meeting of Theoretical Physicists and Mathematicians, Strasbourg, September 11-13, 2003. European Mathematical Society. 2005. p. 165-204. (IRMA Lectures in Mathematics and Theoretical Physics, Vol. 8). doi: 10.4171/013-1/7

Non-trivial, static, geodesically complete space-times with a negative cosmological constant II. n ≥ 5

Abstract

Publication series

Austrian Fields of Science 2012

Keywords

Access to Document

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Cite this