Symmetric Hyperbolic System in the Self-dual Teleparallel Gravity

Details Symmetric Hyperbolic System in the Self-dual Teleparallel Gravity Symmetric Hyperbolic System in the Self-dual Teleparallel Gravity

2004-08-16

arxiv.org/abs/gr-qc/0408047v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, no figures

Scientific paper

10.1103/PhysRevD.70.044009

In order to discuss the well-posed initial value formulation of the teleparallel gravity and apply it to numerical relativity a symmetric hyperbolic system in the self-dual teleparallel gravity which is equivalent to the Ashtekar formulation is posed. This system is different from the ones in other works by that the reality condition of the spatial metric is included in the symmetric hyperbolicity and then is no longer an independent condition. In addition the constraint equations of this system are rather simpler than the ones in other works.

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