Physical Decomposition of the Gauge and Gravitational Fields

Details Physical Decomposition of the Gauge and Gravitational Fields Physical Decomposition of the Gauge and Gravitational Fields

Apr 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010gras.conf..130c&link_type=abstract

GRAVITATION AND ASTROPHYSICS. Proceedings of the Ninth Asia-Pacific International Conference. Held 29 June-2 July 2009 in Wuhan,

Astronomy and Astrophysics

Astrophysics

Gauge Invariance, Field Decomposition, Gravitational Energy

Scientific paper

Physical decomposition of the non-Abelian gauge field has recently solved the two-decade-lasting problem of a gauge-invariant gluon spin. Here we extend this approach to gravitation and attack the century-lasting problem of a covariant gravitational energy density. Counterpart of the gauge field in gravity, the affine connection, is unambiguously separated into a pure geometric term which does not contribute to the curvature tensor, and a gauge-independent physical term which always vanishes in a flat space-time. By this decomposition the conventional pseudo-tensors of the gravitational energy are easily converted to be true tensors, and a physical meaning does exist for the energy density.

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