publication . Article . Preprint . 2014

General Relativity as an Extended Canonical Gauge Theory

Jürgen Struckmeier;
Open Access
  • Published: 06 Nov 2014 Journal: Physical Review D, volume 91 (issn: 1550-7998, eissn: 1550-2368, Copyright policy)
  • Publisher: American Physical Society (APS)
It is widely accepted that the fundamental geometrical law of nature should follow from an action principle. The particular subset of transformations of a system's dynamical variables that maintain the form of the action principle comprises the group of canonical transformations. In the context of canonical field theory, the adjective "extended" signifies that not only the fields but also the space-time geometry is subject to transformation. Thus, in order to be physical, the transition to another, possibly noninertial frame of reference must necessarily constitute an extended canonical transformation that defines the general mapping of the connection coefficien...
free text keywords: General Relativity and Quantum Cosmology, Theory of relativity, Gauge theory, Physics, Covariant Hamiltonian field theory, Classical mechanics, Canonical transformation, Canonical coordinates, Frame of reference, Principle of relativity, Theoretical physics, Riemann curvature tensor, symbols.namesake, symbols

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