An extended Einstein-Cartan formulation of Chern-Simons gravity

Mauro Cambiaso, Luis Urrutia

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We consider the non-dynamical Chern-Simons modification to general relativity in the framework of the Einstein-Cartan formulation, as providing a source for torsion. Since the experimental and observational bounds on torsion are very stringent, we propose a new iterative procedure to look for vacuum solutions of the system by expanding the tetrad, connection and embedding parameter, together with all derived quantities, in terms of a dimensionless small parameter β which codifies the Chern-Simons coupling. Careful consideration is given to the Bianchi identities together with the consistency conditions they impose via the equations of motion. Starting from a torsionless zeroth-order vacuum solution we derive the second order differential equation for the O(β) corrections to the metric, for an arbitrary embedding parameter. Subsequent specialization to either the canonical or the axial embedding allows us to show that a slowly rotating Kerr metric is an O(β) solution of the system.

Original languageEnglish
Title of host publicationRecent Developments in Gravitation and BEC's Phenomenology - IV Mexican Meeting on Mathematical and Experimental Physics
Subtitle of host publicationSymposium on Gravitation BEC's Phenomenology
Pages47-53
Number of pages7
DOIs
Publication statusPublished - 2010
Event4th Mexican Meeting on Mathematical and Experimental Physics: Symposium on Gravitation BEC's Phenomenology - Mexico City, Mexico
Duration: 19 Jul 201023 Jul 2010

Publication series

NameAIP Conference Proceedings
Volume1318
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

Other4th Mexican Meeting on Mathematical and Experimental Physics: Symposium on Gravitation BEC's Phenomenology
Country/TerritoryMexico
CityMexico City
Period19/07/1023/07/10

Keywords

  • Chern-Simons gravity
  • Einstein Cartan formulation
  • Kerr metric

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Fingerprint

Dive into the research topics of 'An extended Einstein-Cartan formulation of Chern-Simons gravity'. Together they form a unique fingerprint.

Cite this