Generating generalized G{sub D-2} solutions

Journal Article · Sun Jun 15 00:00:00 EDT 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.77.124021· OSTI ID:21212030

Breton, N; Lopez, L A ^[1]; Feinstein, A ^[2]

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1. Departamento de Fisica, Centro de Investigacion y de Estudios Avanzados del Instituto Politecnico Nacional, Apdo. 14-740, Distrito Federal (Mexico)
2. Departamento de Fisica Teorica, Universidad del Pais Vasco, Apartado 644, E-48080, Bilbao (Spain)

We show how one can systematically construct vacuum solutions to Einstein field equations with D-2 commuting Killing vectors in D>4 dimensions. The construction uses Einstein-scalar field seed solutions in four dimensions and is performed both for the case when all the Killing directions are spacelike, as well as when one of the Killing vectors is timelike. The later case corresponds to generalizations of stationary axially symmetric solutions to higher dimensions. Some examples representing generalizations of known higher dimensional stationary solutions are discussed in terms of their rod structure and horizon locations and deformations.

• OSTI ID: 21212030
• Journal Information: Physical Review. D, Particles Fields, Vol. 77, Issue 12; Other Information: DOI: 10.1103/PhysRevD.77.124021; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AXIAL SYMMETRY
CONSTRUCTION
DEFORMATION
EINSTEIN FIELD EQUATIONS
MANY-DIMENSIONAL CALCULATIONS
MATHEMATICAL SOLUTIONS
SCALAR FIELDS