Uniqueness theorem for stationary black hole solutions of {sigma}-models in five dimensions

Journal Article · Fri Oct 15 04:00:00 EDT 2004 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.70.084025· OSTI ID:20705495

Rogatko, Marek ^[1]

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1. Institute of Physics, Maria Curie-Sklodowska University, 20-031 Lublin, pl.Marii Curie-Sklodowskiej 1 (Poland)

I prove the uniqueness theorem for stationary self-gravitating nonlinear {sigma}-models in five-dimensional spacetime. I show that the Myers-Perry vacuum Kerr spacetime is the only maximally extended, stationary, axisymmetric asymptotically flat solution having the regular rotating event horizon with a constant mapping.

• OSTI ID: 20705495
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 Vol. 70; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AXIAL SYMMETRY
AXIOMATIC FIELD THEORY
BLACK HOLES
COSMOLOGY
GRAVITATION
MANY-DIMENSIONAL CALCULATIONS
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS
SIGMA MODEL
SPACE-TIME
VACUUM STATES