An Ambiguous Statement Called "tetrad Postulate" and the Correct Field Equations Satisfied by the Tetrad Fields

An Ambiguous Statement Called Author: W. A. Rodrigues
Publisher:
ISBN:
Category : Geometry, Differential
Languages : en
Pages : 68

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An Ambiguous Statement Called "tetrad Postulate" and the Correct Field Equations Satisfied by the Tetrad Fields

An Ambiguous Statement Called Author: W. A. Rodrigues
Publisher:
ISBN:
Category : Geometry, Differential
Languages : en
Pages : 68

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Book Description


Gravitation as a Plastic Distortion of the Lorentz Vacuum

Gravitation as a Plastic Distortion of the Lorentz Vacuum PDF Author: Virginia Velma Fernández
Publisher: Springer Science & Business Media
ISBN: 3642135897
Category : Science
Languages : en
Pages : 154

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Book Description
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.

The Many Faces of Maxwell, Dirac and Einstein Equations

The Many Faces of Maxwell, Dirac and Einstein Equations PDF Author: Waldyr A. Rodrigues, Jr
Publisher: Springer
ISBN: 3319276379
Category : Science
Languages : en
Pages : 592

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Book Description
This book is an exposition of the algebra and calculus of differential forms, of the Clifford and Spin-Clifford bundle formalisms, and of vistas to a formulation of important concepts of differential geometry indispensable for an in-depth understanding of space-time physics. The formalism discloses the hidden geometrical nature of spinor fields. Maxwell, Dirac and Einstein fields are shown to have representatives by objects of the same mathematical nature, namely sections of an appropriate Clifford bundle. This approach reveals unity in diversity and suggests relationships that are hidden in the standard formalisms and opens new paths for research. This thoroughly revised second edition also adds three new chapters: on the Clifford bundle approach to the Riemannian or semi-Riemannian differential geometry of branes; on Komar currents in the context of the General Relativity theory; and an analysis of the similarities and main differences between Dirac, Majorana and ELKO spinor fields. The exercises with solutions, the comprehensive list of mathematical symbols, and the list of acronyms and abbreviations are provided for self-study for students as well as for classes. From the reviews of the first edition: “The text is written in a very readable manner and is complemented with plenty of worked-out exercises which are in the style of extended examples. ... their book could also serve as a textbook for graduate students in physics or mathematics." (Alberto Molgado, Mathematical Reviews, 2008 k)

The Heat Equation with Singular Nonlinearity and Singular Initial Data

The Heat Equation with Singular Nonlinearity and Singular Initial Data PDF Author: M. Loayza
Publisher:
ISBN:
Category : Heat equation
Languages : en
Pages : 26

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Perturbative Self-interacting Scalar Field Theory

Perturbative Self-interacting Scalar Field Theory PDF Author: R. da Rocha
Publisher:
ISBN:
Category : Generalized spaces
Languages : en
Pages : 18

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Error Estimates for Semi-Galerkin Approximations of Nonhomogenous Incompressible Fluids

Error Estimates for Semi-Galerkin Approximations of Nonhomogenous Incompressible Fluids PDF Author: Pablo Gustavo Albuquerque Braz e Silva
Publisher:
ISBN:
Category : Fluid dynamics
Languages : en
Pages : 38

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A Geometric Itô Formula

A Geometric Itô Formula PDF Author: Pedro J. Catuogno
Publisher:
ISBN:
Category : Geometry, Differential
Languages : en
Pages : 20

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On an Integral with Two Branch Points

On an Integral with Two Branch Points PDF Author: Edmundo Capelas de Oliveira
Publisher:
ISBN:
Category : Integrals
Languages : en
Pages : 16

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Invexity and the Kuhn-Tucker Theorem in the Continous-time Context

Invexity and the Kuhn-Tucker Theorem in the Continous-time Context PDF Author: V. Antunes de Oliveira
Publisher:
ISBN:
Category : Mathematical optimization
Languages : en
Pages : 24

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Decomposition of Fuzzy Sets and Multilinearization for the Extension Principle

Decomposition of Fuzzy Sets and Multilinearization for the Extension Principle PDF Author:
Publisher:
ISBN:
Category : Differentiable functions
Languages : en
Pages : 18

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