2013/06/17 by Alcides Garat · 1 citation
Mathematics · Physics and Astronomy · #gr-qc #hep-th #math-ph #math.MP
paper · pdf · doi:10.1142/s0219887814500601
published as International Journal of Geometric Methods in Modern Physics Vol. 11, No. 06, 1450060 (2014) · 11 pages. arXiv admin note: substantial text overlap with arXiv:1306.0602, arXiv:1306.2174
arxiv created 2013/06/17 · arxiv updated 2019/08/20
Euler observers are a fundamental tool for the study of spacetime evolution. Cauchy surfaces are evolved through the use of hypersurface orthogonal fields and their relationship to coordinate observers, that enable the use of already developed algorithms. In geometrodynamics new tetrad vectors have been introduced with outstanding simplifying properties. We are going to use these already introduced tetrad vectors in the case where we consider a curved four dimensional Lorentzian spacetime with the presence of electromagnetic fields. These Einstein-Maxwell geometries will provide the new tetrad that we are going to use in order to develop an algorithm to produce Cauchy evolution with additional simplifying properties.