Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2010-08-03
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
"Presented at the Fifth Meeting on CPT and Lorentz Symmetry, Bloomington, Indiana, June 28-July 2, 2010"
Scientific paper
We consider the nondynamical Chern-Simons (CS) modification to General Relativity (GR) in the framework of the Einstein-Cartan formulation, as providing a way to incorporate a slowly rotating Kerr black hole in the space of solutions. Our proposal lies on considering the CS term as a source of torsion and on an iterative procedure to look for vacuum solutions of the system, by expanding the tetrad, the connection and the embedding parameter, in powers of a dimensionless small parameter $\beta$ which codifies the CS coupling. Starting from a torsionless zeroth-order vacuum solution we derive the second-order differential equation for the $\mathcal{O}(\beta)$ corrections to the metric, for an arbitrary embedding parameter. Furthermore we can show that the slowly rotating Kerr metric is an $\mathcal{O}(\beta)$ solution of the system either in the canonical or the axial embeddings.
Cambiaso Mauro
Urrutia Luis F.
No associations
LandOfFree
Slowly rotating Kerr black hole as a solution of Einstein-Cartan gravity extended by a Chern-Simons term does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Slowly rotating Kerr black hole as a solution of Einstein-Cartan gravity extended by a Chern-Simons term, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Slowly rotating Kerr black hole as a solution of Einstein-Cartan gravity extended by a Chern-Simons term will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-615363