Teleparallel gauge theory of gravity

Abstract

In this work a tetrad theory of gravity, invariant under conformal transformations, is investigated. The action of the theory is similar to the action of Maxwell's electromagnetism. The role of the electromagnetic gauge potential is played by the trace of the torsion tensor of the Weitzenböck spacetime. It is shown that all static, spherically symmetric space-times, are solutions of the vacuum field equations. However, by fixing the gauge in the linearized form of the vacuum field equations, the usual Newtonian limit for the gravitational field is obtained.

10 pages, no figures, 5 references added

References in corpus (8)

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• Alternatives to Dark Matter and Dark Energy
• A class of elementary particle models without any adjustable real parameters
• Conformally invariant teleparallel theories of gravity
• The Conformal Constraint in Canonical Quantum Gravity
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Cited by in corpus (12)

• Cosmological reconstruction of $f(T,\mathcal{T})$ Gravity
• Charged Black Holes in Generalized Teleparallel Gravity
• Nonmetricity theories and aspects of gauge symmetry
• Lorenz Gauge Fixing of $f(T)$ Teleparallel Cosmology
• Conformal Invariant Teleparallel Cosmology
• Dirac field as a source of the inflation in 2+1 dimensional Teleparallel gravity
• On FRW Model in Conformal Teleparallel Gravity
• Conformal Teleparallel Theories and Weyl Geometry
• On existence of a possible Lorentz invariant modified gravity in Weitzenböck spacetime
• Charged (A)dS black hole solutions in conformal teleparallel equivalent of general relativity
• The meaning of torsion in teleparallel theories
• Spherically symmetric charged black hole in conformal teleparallel equivalent of general relativity