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

Mauro Cambiaso, Luis F. Urrutia

Research output: Contribution to journalArticlepeer-review

18 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number101502
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume82
Issue number10
DOIs
Publication statusPublished - 18 Nov 2010

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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