113 citations · 484 across the 24 of their papers we have counts for
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Full spacetime inversion generated by electromagnetic Abelian gauge transformations
Alcides Garat
In a previous manuscript we addressed the possibility of generating a reflection in a region of spacetime inside a null surface under electromagnetic gauge transformations. In this…
Symmetry evolution for the imperfect fluid under perturbations
Alcides Garat
Ever since a new symmetry was found for the imperfect fluid with vorticity the question of the effect of perturbations on the symmetry itself has been raised. This new symmetry aro…
Tetrads in SU(N) Yang-Mills geometrodynamics
Alcides Garat
The discovery of the SU(3) symmetry was fundamental as to establishing an ordering principle in particle physics. We already studied how to couple the SU(3) symmetry to the gravita…
Isomorphism between the local Poincare generalized translations group and the group of spacetime transformations (x LB1)4
Alcides Garat
We will prove that there is a direct relationship between the Poincare subgroup of translations, and the group of tetrad transformations LB1 introduced in a previous manuscript. LB…
Singular gauge transformations in geometrodynamics
Alcides Garat
The new tetrads introduced previously for non-null electromagnetic fields in Einstein- Maxwell spacetimes enable a direct link to the local electromagnetic gauge group of transform…
New symmetry for the imperfect fluid
Alcides Garat
We will address the existence of a new symmetry for an imperfect fluid by introducing local four-velocity gauge-like transformations for the case when there is vorticity. A similar…
Dynamical symmetry breaking in Yang-Mills geometrodynamics
Alcides Garat
We will analyze through a first order perturbative formulation the local loss of symmetry when a source of non-Abelian Yang-Mills and gravitational fields interacts with an externa…
The equivalence between local inertial frames and electromagnetic gauge in Einstein-Maxwell theories
Alcides Garat
It has been proven that locally the inertial frames and gauge states of the electromagnetic field are equivalent. This proof is valid for Einstein-Maxwell theories in four-dimensio…
The Monopole and the Coulomb field as duals within the unifying Reissner-Nordstrom geometry
Alcides Garat
We are going to prove that the Monopole and the Coulomb fields are duals within the unifying structure provided by the Reissner-Nordstrom spacetime. This is accomplished when notic…
Euler observers in geometrodynamics
Alcides Garat
Euler observers are a fundamental tool for the study of spacetime evolution. Cauchy surfaces are evolved through the use of hypersurface orthogonal fields and their relationship to…
Gauge invariant method for maximum simplification of the field strength in non-Abelian Yang-Mills theories
Alcides Garat
A new local gauge invariant method is introduced in order to maximally simplify the expression for a SU(2) non-Abelian field strength. The new tetrads introduced in previous works…
Dynamical symmetry breaking in geometrodynamics
Alcides Garat
We will analyze through a first order perturbative formulation the local loss of symmetry when a source of electromagnetic and gravitational field interacts with an agent that pert…
Second proof for SU(2) isomorphic to LB1 X LB1 X LB1 theorem
Alcides Garat
In this note we present a second independent proof for the theorem introduced previously that establishes an isomorphism between SU(2) and LB1 X LB1 X LB1. Since the local groups L…
Covariant diagonalization of the perfect fluid stress-energy tensor
Alcides Garat
We introduce new tetrads that manifestly and covariantly diagonalize the stress-energy tensor for a perfect fluid with vorticity at every spacetime point. This new tetrad can be ap…
Tetrads in SU(3) X SU(2) X U(1) Yang-Mills geometrodynamics
Alcides Garat
The relationship between gauge and gravity amounts to understanding underlying new geometrical local structures. These structures are new tetrads specially devised for Yang-Mills t…
The Lorentz force equation as Fermi-Walker transport in geometrodynamics
Alcides Garat
A new tetrad introduced within the framework of geometrodynamics for non-null electromagnetic fields allows for the geometrical analysis of the Lorentz force equation and its solut…
Tetrads in low-energy weak interactions
Alcides Garat
Tetrads are introduced in order to study the relationship between tetrad gauge states of spacetime and particle interactions, specially in weak processes at low energy. Through sev…
Tetrads in Yang-Mills geometrodynamics
Alcides Garat
A new set of tetrads is introduced within the framework of SU(2) X U(1) Yang-Mills field theories in four dimensional Lorentz curved spacetimes. Each one of these tetrads diagonali…
Tetrads in Geometrodynamics
Alcides Garat
A new tetrad is introduced within the framework of geometrodynamics for non-null electromagnetic fields. This tetrad diagonalizes the electromagnetic stress-energy tensor and allow…
Nonexistence of conformally flat slices of the Kerr spacetime
Alcides Garat, Richard H. Price
Initial data for black hole collisions are commonly generated using the Bowen-York approach based on conformally flat 3-geometries. The standard (constant Boyer-Lindquist time) spa…
Gauge invariant formalism for second order perturbations of Schwarzschild spacetimes
A. Garat, R. H. Price
The ``close limit,'' a method based on perturbations of Schwarzschild spacetime, has proved to be a very useful tool for finding approximate solutions to models of black hole colli…
The constraint algebra of quantum gravity in the loop representation
Rodolfo Gambini, Alcides Garat, Jorge Pullin
We study the algebra of constraints of quantum gravity in the loop representation based on Ashtekar's new variables. We show by direct computation that the quantum commutator algeb…