Uniqueness of Kerr space-time near null infinity

Journal Article · Mon Dec 15 04:00:00 EST 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.78.124009· OSTI ID:21251133

Xiaoning, Wu ^[1]; Shan, Bai ^[2]

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1. Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, P.O. Box 2734, Beijing, 100080 (China)
2. Institute of Theoretical Physics, Chinese Academy of Sciences, P.O. Box 2735, Beijing, 100080 (China)

We reexpress the Kerr metric in standard Bondi-Sachs coordinates near null infinity I{sup +}. Using the uniqueness result of the characteristic initial value problem, we prove the Kerr metric is the only asymptotically flat, stationary, axially symmetric, type-D solution of the vacuum Einstein equation. The Taylor series of Kerr space-time is expressed in terms of Bondi-Sachs coordinates, and the Newman-Penrose constants have been calculated.

• OSTI ID: 21251133
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 12 Vol. 78; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AXIAL SYMMETRY
COORDINATES
EINSTEIN FIELD EQUATIONS
KERR METRIC
MATHEMATICAL SOLUTIONS
SPACE-TIME