Characterization of (asymptotically) Kerr-de Sitter-like spacetimes at null infinity

Marc Mars; Tim-Torben Paetz; Jose M. M. Senovilla; Walter Simon

doi:10.1088/0264-9381/33/15/155001

Characterization of (asymptotically) Kerr-de Sitter-like spacetimes at null infinity

Marc Mars (Corresponding author)
, Tim-Torben Paetz
, Jose M. M. Senovilla
, Walter Simon

Gravitational Physics

Publications: Contribution to journal › Article › Peer Reviewed

Abstract

We investigate solutions (M, g) to Einstein?s vacuum field equations with positive cosmological constant ? which admit a smooth past null infinity I- la Penrose and a Killing vector field whose associated MarsSimon tensor (MST) vanishes. The main purpose of this work is to provide a characterization of these spacetimes in terms of their Cauchy data on I-. Along the way, we also study spacetimes for which the MST does not vanish. In that case there is an ambiguity in its definition which is captured by a scalar function Q. We analyze properties of the MST for different choices of Q. In doing so, we are led to a definition of asymptotically Kerrde Sitter-like spacetimes, which we also characterize in terms of their asymptotic data on I-. & copy ; 2016 IOP Publishing Ltd.

Original language	English
Article number	155001
Number of pages	48
Journal	Classical and Quantum Gravity
Volume	33
Issue number	15
DOIs	https://doi.org/10.1088/0264-9381/33/15/155001
Publication status	Published - 5 Jul 2016

Funding

MM acknowledges financial support under the projects FIS2012-30926, FIS2015-65140-P (Spanish MINECO-fondos FEDER) and P09-FQM-4496 (J Andalucia-FEDER). TTP acknowledges financial support by the Austrian Science Fund (FWF): P 24170-N16. JMMS is supported under grant FIS2014-57956-P (Spanish MINECO-fondos FEDER), GIU12/15 (Gobierno Vasco), UFI 11/55 (UPV/EHU) and by project P09-FQM-4496 (J Andalucia-FEDER). The research of WS was funded by the Austrian Science Fund (FWF): P 23337-N16.

Austrian Fields of Science 2012

103028 Theory of relativity

Keywords

characterization
Kerr-de Sitter-like
cosmological constant
null infinity
Mars-Simon tensor
SYMMETRIC HYPERBOLIC SYSTEMS
FIELD-EQUATIONS
EINSTEIN
EXISTENCE
SMOOTH
Kerrde Sitter-like
MarsSimon tensor

Access to Document

10.1088/0264-9381/33/15/155001

Cite this

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title = "Characterization of (asymptotically) Kerr-de Sitter-like spacetimes at null infinity",

abstract = "We investigate solutions (M, g) to Einstein?s vacuum field equations with positive cosmological constant ? which admit a smooth past null infinity I- la Penrose and a Killing vector field whose associated MarsSimon tensor (MST) vanishes. The main purpose of this work is to provide a characterization of these spacetimes in terms of their Cauchy data on I-. Along the way, we also study spacetimes for which the MST does not vanish. In that case there is an ambiguity in its definition which is captured by a scalar function Q. We analyze properties of the MST for different choices of Q. In doing so, we are led to a definition of asymptotically Kerrde Sitter-like spacetimes, which we also characterize in terms of their asymptotic data on I-. \& copy ; 2016 IOP Publishing Ltd.",

keywords = "characterization, Kerr-de Sitter-like, cosmological constant, null infinity, Mars-Simon tensor, SYMMETRIC HYPERBOLIC SYSTEMS, FIELD-EQUATIONS, EINSTEIN, EXISTENCE, SMOOTH, Kerrde Sitter-like, MarsSimon tensor",

author = "Marc Mars and Tim-Torben Paetz and Senovilla, \{Jose M. M.\} and Walter Simon",

note = "Funding Information: MM acknowledges financial support under the projects FIS2012-30926, FIS2015-65140-P (Spanish MINECO-fondos FEDER) and P09-FQM-4496 (J Andaluc{\'i}aFEDER). TTP acknowledges financial support by the Austrian Science Fund (FWF): P 24170-N16. JMMS is supported under grant FIS2014-57956-P (Spanish MINECO-fondos FEDER), GIU12/15 (Gobierno Vasco), UFI 11/55 (UPV/EHU) and by project P09-FQM-4496 (J Andaluc{\'i}a-FEDER). The research of WS was funded by the Austrian Science Fund (FWF): P 23337-N16.",

year = "2016",

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doi = "10.1088/0264-9381/33/15/155001",

language = "English",

volume = "33",

journal = "Classical and Quantum Gravity",

issn = "0264-9381",

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AU - Mars, Marc

AU - Paetz, Tim-Torben

AU - Senovilla, Jose M. M.

AU - Simon, Walter

N1 - Funding Information: MM acknowledges financial support under the projects FIS2012-30926, FIS2015-65140-P (Spanish MINECO-fondos FEDER) and P09-FQM-4496 (J AndalucíaFEDER). TTP acknowledges financial support by the Austrian Science Fund (FWF): P 24170-N16. JMMS is supported under grant FIS2014-57956-P (Spanish MINECO-fondos FEDER), GIU12/15 (Gobierno Vasco), UFI 11/55 (UPV/EHU) and by project P09-FQM-4496 (J Andalucía-FEDER). The research of WS was funded by the Austrian Science Fund (FWF): P 23337-N16.

PY - 2016/7/5

Y1 - 2016/7/5

N2 - We investigate solutions (M, g) to Einstein?s vacuum field equations with positive cosmological constant ? which admit a smooth past null infinity I- la Penrose and a Killing vector field whose associated MarsSimon tensor (MST) vanishes. The main purpose of this work is to provide a characterization of these spacetimes in terms of their Cauchy data on I-. Along the way, we also study spacetimes for which the MST does not vanish. In that case there is an ambiguity in its definition which is captured by a scalar function Q. We analyze properties of the MST for different choices of Q. In doing so, we are led to a definition of asymptotically Kerrde Sitter-like spacetimes, which we also characterize in terms of their asymptotic data on I-. & copy ; 2016 IOP Publishing Ltd.

AB - We investigate solutions (M, g) to Einstein?s vacuum field equations with positive cosmological constant ? which admit a smooth past null infinity I- la Penrose and a Killing vector field whose associated MarsSimon tensor (MST) vanishes. The main purpose of this work is to provide a characterization of these spacetimes in terms of their Cauchy data on I-. Along the way, we also study spacetimes for which the MST does not vanish. In that case there is an ambiguity in its definition which is captured by a scalar function Q. We analyze properties of the MST for different choices of Q. In doing so, we are led to a definition of asymptotically Kerrde Sitter-like spacetimes, which we also characterize in terms of their asymptotic data on I-. & copy ; 2016 IOP Publishing Ltd.

KW - characterization

KW - Kerr-de Sitter-like

KW - cosmological constant

KW - null infinity

KW - Mars-Simon tensor

KW - SYMMETRIC HYPERBOLIC SYSTEMS

KW - FIELD-EQUATIONS

KW - EINSTEIN

KW - EXISTENCE

KW - SMOOTH

KW - Kerrde Sitter-like

KW - MarsSimon tensor

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U2 - 10.1088/0264-9381/33/15/155001

DO - 10.1088/0264-9381/33/15/155001

M3 - Article

SN - 0264-9381

VL - 33

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

IS - 15

M1 - 155001

ER -

Characterization of (asymptotically) Kerr-de Sitter-like spacetimes at null infinity

Abstract

Funding

Austrian Fields of Science 2012

Keywords

Access to Document

Other files and links

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Global solutions of the vacuum Einstein equations with initial data on a light-cone

Stationary Black Holes and Penrose Inequalities

Cite this

Characterization of (asymptotically) Kerr-de Sitter-like spacetimes at null infinity

Abstract

Funding

Austrian Fields of Science 2012

Keywords

Access to Document

Other files and links

Fingerprint

Projects

Global solutions of the vacuum Einstein equations with initial data on a light-cone

Stationary Black Holes and Penrose Inequalities

Cite this