Addressing graduate students and researchers in theoretical physics and mathematics, this book presents a new formulation of the theory of gravity. In the new approach the gravitational field has the same ontology as the electromagnetic, strong, and weak fields. In other words it is a physical field living in Minkowski spacetime. Some necessary new mathematical concepts are introduced and carefully explained. Then they are used to describe the deformation of geometries, the key to describing the gravitational field as a plastic deformation of the Lorentz vacuum. It emerges after further analysis that the theory provides trustworthy energy-momentum and angular momentum conservation laws, a feature that is normally lacking in General Relativity.
Author(s): Virginia Velma Fernández, Waldyr A. Rodrigues (auth.)
Series: Fundamental Theories of Physics 168
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2010
Language: English
Pages: 154
Tags: Classical and Quantum Gravitation, Relativity Theory;Internal Medicine;General Practice / Family Medicine;Primary Care Medicine;Psychology, general;Public Health/Gesundheitswesen
Front Matter....Pages i-x
Introduction....Pages 1-12
Multiforms, Extensors, Canonical and Metric Clifford Algebras....Pages 13-32
Multiform Functions and Multiform Functionals....Pages 33-46
Multiform and Extensor Calculus on Manifolds....Pages 47-74
Gravitation as Plastic Distortion of the Lorentz Vacuum....Pages 75-81
Gravitation Described by the Potentials $${\mathfrak{g}}^{\mathbf{\alpha }} ={ \mbox{ h}}^{\dag }({{ {\vartheta}}}^{\mathbf{\alpha }})$$ ....Pages 83-92
Hamiltonian Formalism....Pages 93-103
Conclusions....Pages 105-107
Back Matter....Pages 109-153
