Euler observers in geometrodynamics

Abstract

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.

11 pages. arXiv admin note: substantial text overlap with arXiv:1306.0602, arXiv:1306.2174

References in corpus (1)

• Quadrupole moments of baryons

Cited by in corpus (10)

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• Covariant diagonalization of the perfect fluid stress-energy tensor
• New symmetry for the imperfect fluid
• The equivalence between local inertial frames and electromagnetic gauge in Einstein-Maxwell theories
• New symmetry in higher curvature spacetimes
• Symmetry evolution for the imperfect fluid under perturbations
• On the nature of the new group LB1