A comparative review of certain gauge theories of the gravitational field

Mathematics – Group Theory

Scientific paper

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Gauge Invariance, Gravitation Theory, Gravitational Fields, Group Theory, Relativity, Canonical Forms, Error Analysis, Field Theory (Physics), Mathematical Models

Scientific paper

A general formal analysis is made in order to obtain a better understanding and greater synthesis of the mathematical structure of the gravitational field gauge theories. Under this approach, some misstatements appearing in current theories are detected. A theory based on the direct product groups T(4) x GL(4) and T(4) O(1, 3) is suggested (in contrast to those using the Poincare group, semidirect product). Such a theory corrects the above-mentioned deficiencies.

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