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Geometry and Dynamics with Time-Dependent Constraints

1994/08/09 by Jonathan M. Evans, Evans, Jonathan M., Philip A. Tuckey +1
Engineering · Mathematics · Physics and Astronomy · #Control and Dynamics of Mobile Robots #Dynamics and Control of Mechanical Systems #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Mathematics and Applications #gr-qc #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9408055

8 pages, Plain TeX, CERN-TH.7392/94 and MPI-PhT/94-45

arxiv created 1994/08/09 · openalex publication_date 1994/08/09 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We describe how geometrical methods can be applied to a system with explicitly time-dependent second-class constraints so as to cast it in Hamiltonian form on its physical phase space. Examples of particular interest are systems which require time-dependent gauge fixing conditions in order to reduce them to their physical degrees of freedom. To illustrate our results we discuss the gauge-fixing of relativistic particles and strings moving in arbitrary background electromagnetic and antisymmetric tensor fields.

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