T4 gauge theory of gravity and new general relativity.

Computer Science

Scientific paper

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Gravitation Theory, General Relativity

Scientific paper

The authors formulate a space-time translation T4 gauge theory of gravity on the Minkowski space-time with appropriate choice of the Lagrangian. By comparing the energy-momentum law of this theory with that of new general relativity constructed on the Weitzenböck space-time , it is found that in the classical limit the gauge potentials correspond to the parallel vector fields in the Weitzenböck space-time, and that the gauge field equation coincides with the field equation of gravity in new general relativity in the linearized version. Thus it is concluded that in the classical limit the T4 gauge theory of gravity leads to the new general relativity.

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