TY - JOUR

T1 - Extended solution space for Chern-Simons gravity

T2 - The slowly rotating Kerr black hole

AU - Cambiaso, Mauro

AU - Urrutia, Luis F.

PY - 2010/11/18

Y1 - 2010/11/18

N2 - 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 β 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(β) corrections to the metric, for an arbitrary zeroth-order embedding parameter. In particular, the slowly rotating Kerr metric is an O(β) solution in either the canonical or the axial embeddings.

AB - 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 β 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(β) corrections to the metric, for an arbitrary zeroth-order embedding parameter. In particular, the slowly rotating Kerr metric is an O(β) solution in either the canonical or the axial embeddings.

UR - http://www.scopus.com/inward/record.url?scp=78651354617&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.82.101502

DO - 10.1103/PhysRevD.82.101502

M3 - Article

AN - SCOPUS:78651354617

VL - 82

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

SN - 1550-7998

IS - 10

M1 - 101502

ER -