Extended solution space for Chern-Simons gravity: The slowly rotating Kerr black hole

Journal Article · Mon Nov 15 00:00:00 EST 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.101502· OSTI ID:21509905

Cambiaso, Mauro ^[1]; Urrutia, Luis F ^[1]

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1. Instituto de Ciencias Nucleares, Universidad Nacional Autonoma de Mexico, Apartado Postal 70-543, 04510 Mexico Distrito Federal (Mexico)

In the Einstein-Cartan formulation, an iterative procedure to find solutions in nondynamical Chern-Simons gravity in vacuum is proposed. The iterations, in powers of a small parameter {beta} which codifies the Chern-Simons coupling, start from an arbitrary torsionless solution of Einstein equations. With Schwarzschild as the zeroth-order choice, we derive a second-order differential equation for the O({beta}) corrections to the metric, for an arbitrary zeroth-order embedding parameter. In particular, the slowly rotating Kerr metric is an O({beta}) solution in either the canonical or the axial embeddings.

• OSTI ID: 21509905
• Journal Information: Physical Review. D, Particles Fields, Vol. 82, Issue 10; Other Information: DOI: 10.1103/PhysRevD.82.101502; (c) 2010 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BLACK HOLES
CORRECTIONS
COUPLING
DIFFERENTIAL EQUATIONS
EINSTEIN FIELD EQUATIONS
GRAVITATION
ITERATIVE METHODS
KERR METRIC
MATHEMATICAL SOLUTIONS
QUANTUM FIELD THEORY
SCHWARZSCHILD METRIC
SPACE
CALCULATION METHODS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
METRICS