Teleparallel gravity. An introduction

Description

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. Front Matter....Pages I-XIII Basic Notions....Pages 1-15 Lorentz Connections and Inertia....Pages 17-23 Gauge Theories and Gravitation....Pages 25-38 Fundamentals of Teleparallel Gravity....Pages 39-50 Gravitational Coupling Prescription....Pages 51-57 Particle Mechanics....Pages 59-72 Global Formulation for Gravity....Pages 73-81 Hodge Dual for Soldered Bundles....Pages 83-87 Lagrangian and Field Equations....Pages 89-100 Gravitational Energy-Momentum Density....Pages 101-110 Gravitation in the Lack of Universality....Pages 111-120 Gravitational Coupling of the Fundamental Fields....Pages 121-128 Spin-2 Field Coupled to Gravitation....Pages 129-141 Teleparallel Equivalent of Some Solutions....Pages 143-149 Duality Symmetry....Pages 151-158 Teleparallel Kaluza-Klein Theory....Pages 159-170 Einstein-Cartan Theory....Pages 171-177 Why to Study Teleparallel Gravity....Pages 179-186 Back Matter....Pages 187-214