Teleparallel Gravity [electronic resource] : An Introduction / by Ruben Aldrovandi, José Geraldo Pereira.

From the Content: Basic Notions -- Linear Frames and Tetrads -- Connections -- Gauge Theories and Gravitation -- The Gauge Tenets -- General Relativity -- Gravitation and the Gauge Paradigm -- Fundamentals of Teleparallel Gravity -- Geometrical Setting -- Particle Mechanics -- Free Particles Revisited -- Basic Notions -- Free Equation of Motion -- Global Formulation for Gravity -- Phase Factor Approach -- Colella-Overhauser-Werner Experiment -- Hodge Dual for Soldered Bundles -- Why a New Dual -- Dual Torsion -- Lagrangian and Field Equations -- Lagrangian of Teleparallel Gravity.-Gravitational Energy-Momentum Density -- Field Equations and Conservation Laws -- Teleparallel Gravity -- General Relativity -- Gravitation Without the Equivalence Principle -- Introductory Remarks -- Gravitational Coupling of the Fundamental Fields -- Gravitational Coupling Revisited -- Duality Symmetry -- Duality Symmetry and Gravitation -- Teleparallel Kaluza-Klein Theory -- Kaluza-Klein Theory: a Brief Review -- The Connection Space -- Translations in the Connection Space -- A Glimpse on Einstein-Cartan -- Epilogue.

Teleparallel Gravity (TG) is an alternative theory for gravitation, which is equivalent to General Relativity (GR). However, it is conceptually different. For example in GR geometry replaces the concept of force, and the trajectories are determined by geodesics. TG attributes gravitation to torsion, which accounts for gravitation by acting as a force. TG has already solved some old problems of gravitation (like the energy-momentum density of the gravitational field). The interest in TG has grown in the last few years. The book here proposed will be the first one dedicated exclusively to TG, and will include the foundations of the theory, as well as applications to specific problems to illustrate how the theory works.