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New physical interpretation of the Bel-Robinson tensor

J Garecki

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A 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.


PACS

04.20.Fy Canonical formalism, Lagrangians, and variational principles

11.15.-q Gauge field theories

04.62.+v Quantum fields in curved spacetime

MSC

81T13 Yang-Mills and other gauge theories (See also 53C07, 58E15)

83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)

81T20 Quantum field theory on curved space backgrounds

Subjects

Gravitation and cosmology

Particle physics and field theory

Dates

Issue 3 (May 1985)



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