Some exact solutions with torsion in 5D Einstein-Gauss-Bonnet gravity

Journal Article · Wed Aug 15 00:00:00 EDT 2007 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.76.044021· OSTI ID:21027616

Canfora, F ^[1]; Giacomini, A; Willison, S ^[1]

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1. Centro de Estudios Cientificos (CECS), Casilla 1469 Valdivia (Chile)

Exact solutions with torsion in Einstein-Gauss-Bonnet gravity are derived. These solutions have a cross product structure of two constant curvature manifolds. The equations of motion give a relation for the coupling constants of the theory in order to have solutions with nontrivial torsion. This relation is not the Chern-Simons combination. One of the solutions has an AdS{sub 2}xS{sup 3} structure and is so the purely gravitational analogue of the Bertotti-Robinson space-time where the torsion can be seen as the dual of the covariantly constant electromagnetic field.

• OSTI ID: 21027616
• Journal Information: Physical Review. D, Particles Fields, Vol. 76, Issue 4; Other Information: DOI: 10.1103/PhysRevD.76.044021; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMPLEX MANIFOLDS
COSMOLOGY
COUPLING CONSTANTS
ELECTROMAGNETIC FIELDS
EQUATIONS OF MOTION
EXACT SOLUTIONS
GENERAL RELATIVITY THEORY
GRAVITATION
MANY-DIMENSIONAL CALCULATIONS
SPACE-TIME
TORSION