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AN AMBIGUOUS STATEMENT CALLED THE "TETRAD POSTULATE" AND THE CORRECT FIELD EQUATIONS SATISFIED BY THE TETRAD FIELDS
- W. Rodrigues, Q. A. G. Souza
- Physics, Mathematics
- 30 November 2004
The names tetrad, tetrads, cotetrads have been used with many different meanings in the physics literature, not all of them equivalent from the mathematical point of view. In this paper, we introduce… Expand
The squares of the dirac and spin-dirac operators on a riemann-cartan space(time)
- E. Notte-Cuello, W. A. Rodrigues, Q. A. G. Souza
- Mathematics, Physics
- 18 March 2007
In this paper we introduce the Dirac and spin-Dirac operators associated to a connection on Riemann-Cartan space(time) and standard Dirac and spin-Dirac operators associated with a Levi-Civita… Expand
The Dirac Operator and the Structure of Riemann-Cartan-Weyl Spaces
- Q. A. G. Souza, W. A. Rodrigues
- Physics
- 1994
- 20
- 1
Conservation Laws on Riemann-Cartan, Lorentzian and Teleparallel Spacetimes
- W. Rodrigues, Q. A. G. Souza, R. Rocha
- Physics, Mathematics
- 3 May 2006
In this paper using a Clifford bundle formalism we examine (a): the strong conditions for existence of conservation laws involving only the energy-momentum and angular momentum of the matter fields… Expand
The Clifford bundle and the nature of the gravitational field
- W. Rodrigues, Q. A. G. Souza
- Physics
- 1 November 1993
In this paper we formulate Einstein's gravitational theory with the Clifford bundle formalism. The formalism suggests interpreting the gravitational field in the sense of Faraday, i.e., with the… Expand
The Hyperbolic Clifford Algebra of Multivecfors
- W. Rodrigues, Q. A. G. Souza
- Mathematics, Physics
- 18 March 2007
In this paper we give a thoughtful exposition of the Clifford algebra Cl(HV ) of multivecfors which is naturally associated with a hyperbolic space HV , whose elements are called vecfors. Geomet^
Spinor Fields and Superfields as Equivalence Classes of Exterior Algebra Fields
- W. Rodrigues, Q. A. G. Souza, J. Vaz
- Mathematics
- 1995
In this paper we show that spinor fields with the right transformation properties and also supernelds can be represented as equivalence classes of exterior algebra fields. We construct explicitly… Expand
The mathematical structure of Newtonian spacetime: Classical dynamics and gravitation
- W. A. Rodrigues, Q. A. G. Souza, Y. Bozhkov
- Physics
- 1 June 1995
We give a precise and modern mathematical characterization of the Newtonian spacetime structure (ℕ). Our formulation clarifies the concepts of absolute space, Newton's relative spaces, and absolute… Expand
Operador de Dirac, espaços de Riemann- Cartan-Weyl e a natureza do campo gravitacional
- Q. A. G. Souza, W. R. Junior
- Physics
- 19 August 1992
Neste trabalho apresentamos a teoria da gravitacao de Einstein como uma teoria de campos no sentido de Faraday, isto e, como uma teoria onde o campo gravitacional, como os demais campos fisicos,… Expand
Teorias de espaço-tempo e leis de conservação
- Q. A. G. Souza, W. R. Junior
- Philosophy
- 25 July 1987
O objetivo deste trabalho e o estudo das leis de conservacao nas teorias de espaco-tempo classicas, que essencialmente constituem-se da fisica de Galileu e Newton e da fisica de Lorentz e Einstein.… Expand