J Garecki 1985 Class. Quantum Grav. 2 403 doi:10.1088/0264-9381/2/3/015
J Garecki
Show affiliationsA short presentation of the gauge theory of gravitation with quadratic Lagrangian Lg=(c4/16 pi G)( Omega .ji Lambda eta ij+ Theta i Lambda * Theta i)+(h(cross)c/16 pi ) Omega .ji Lambda * Omega .ij, where h is the Planck constant; c is the velocity of light in vacuum, G means the Newtonian gravitational constant and Omega .ji and Theta i are the curvature and torsion 2-forms respectively, is given. Then, the new physical interpretation of the so-called Bel-Robinson tensor in the framework of the theory is presented; namely, the Bel-Robinson tensor multiplied by the constant beta =hc/16 pi is physically interpreted as the 4-index energy-momentum tensor of the vacuum and torsionless gauge field R.klmi.
04.20.Fy Canonical formalism, Lagrangians, and variational principles
81T13 Yang-Mills and other gauge theories (See also 53C07, 58E15)
83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
Issue 3 (May 1985)
J Garecki 1985 Class. Quantum Grav. 2 403
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