TY - JOUR
T1 - Extended solution space for Chern-Simons gravity
T2 - The slowly rotating Kerr black hole
AU - Cambiaso, Mauro
AU - Urrutia, Luis F.
N1 - Copyright:
Copyright 2011 Elsevier B.V., All rights reserved.
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 -