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)
Abstract
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...
Subjects
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

[1] Struckmeier J 2013 J. Phys. G: Nucl. Part. Phys. 40 015007

[2] Ryder L H 2009 Introduction to General Relativity (Cambridge University Press)

[3] Cheng T P and Li L F 2000 Gauge Theory of Elementary Particle Physics (Oxford University Press, USA) ISBN 0198519613

[4] Jose´ J V and Saletan E J 1998 Classical Dynamics (Cambridge University Press, Cambridge)

[5] Struckmeier J 2005 J. Phys. A: Math. Gen. 38 1257

[6] Struckmeier J 2009 Int. J. Mod. Phys. 18 79 URL http://arxiv.org/abs/0811.0496

[7] Palatini A 1919 Rend. Circ. Mat. Palermo 43 203

[8] Borunda M, Janssen B and Bastero-Gil M 2008 arXiv:0804:4440 [hep-th]

[9] Stephenson G 1958 Il Nuovo Cimento IX 263

[10] Lanczos C 1938 Ann. Math. 39 842-850

[11] Stelle K S 1977 Phys. Rev. D 16 953

[12] Einstein A 1918 Private letter to H. Weyl, ETH Zu¨rich Library, Archives and Estates

[13] Misner C W, Thorne K S and Wheeler J A 1973 Gravitation (W. H. Freeman and Company, New York)

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