A hyperbolic tetrad formulation of the Einstein equations for numerical relativity

Details A hyperbolic tetrad formulation of the Einstein equations for numerical relativity A hyperbolic tetrad formulation of the Einstein equations for numerical relativity

2003-01-21

arxiv.org/abs/gr-qc/0301072v2

Phys.Rev. D67 (2003) 084017; Erratum-ibid. D72 (2005) 049903

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Eqs. (59), (B3), (B4), and (B5) have been corrected (multiplied by -1). Two typos have been fixed, and citations have been rem

Scientific paper

10.1103/PhysRevD.67.084017

The tetrad-based equations for vacuum gravity published by Estabrook, Robinson, and Wahlquist are simplified and adapted for numerical relativity. We show that the evolution equations as partial differential equations for the Ricci rotation coefficients constitute a rather simple first-order symmetrizable hyperbolic system, not only for the Nester gauge condition on the acceleration and angular velocity of the tetrad frames considered by Estabrook et al., but also for the Lorentz gauge condition of van Putten and Eardley, and for a fixed gauge condition. We introduce a lapse function and a shift vector to allow general coordinate evolution relative to the timelike congruence defined by the tetrad vector field.

Affiliated with

Also associated with

No associations

Rating

A hyperbolic tetrad formulation of the Einstein equations for numerical relativity 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 A hyperbolic tetrad formulation of the Einstein equations for numerical relativity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A hyperbolic tetrad formulation of the Einstein equations for numerical relativity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-571136