How we went down the tetradic steps, and of Panurge's fear.
"Gargantua and Pantagruel, Complete." by Francois Rabelais
How we went down the tetradic steps, and of Panurge's fear.
"Gargantua and Pantagruel, Book V." by Francois Rabelais
Four, or the tetrad, is the most perfect of numbers and the root of all things.
"Three Thousand Years of Mental Healing" by George Barton Cutten
The tetrad for the perfect figure, the cube, length, depth, and width.
"Notes and Queries, Number 77, April 19, 1851" by Various
In figure 130 one lagging chromosome shows the dyad nature of the products of the division of the tetrad.
"Studies in Spermatogenesis (Part 1 of 2)" by Nettie Maria Stevens
During the tetrad division in the basidium nuclear reduction occurs.
"Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 3" by Various
Such an axis of symmetry is known as a tetrad axis of symmetry.
"Encyclopaedia Britannica, 11th Edition, Volume 7, Slice 7" by Various
The widespread, if not universal, formation of tetrads, i.e.
"Encyclopaedia Britannica, 11th Edition, Volume 7, Slice 8" by Various
***
It is clear from this expression that the energy depends on the parameter η and if this parameter equals zero then the tetrad (29) will coincide with the diagonal form of the tetrad (36) and the associated energy will be the same as that obtained before .
General Spherically Symmetric Non Singular Black Hole Solutions in Teleparallel Theory of Gravitation
Thus the total energy will coincide with that of the Schwarzschild solution, since the metric associated with the tetrad (29) in this case gives the Schwarzschild metric.
General Spherically Symmetric Non Singular Black Hole Solutions in Teleparallel Theory of Gravitation
We interpret ea ν as tetrad ﬁelds and ωab ν as spin connection. A model of gauge theory based on Poincar´e group and implying only torsion can be obtained choosing ν = 0.
Schwarzschild solution on a space-time with torsion
Seen from the tetrad frame itself, it has for components the anholonomy coeﬃcients.
Spin and Anholonomy in General Relativity
It can be seen from this expression that the energy-momentum couples to the tetrad ﬁeld, and the µ S µab is clearly antisymmetric spin current couples to the spin-connection.
Spin and Anholonomy in General Relativity
Tetrads — bases on 4-dimensional spacetime — are not necessarily of this kind.
Spin and Anholonomy in General Relativity
The spin tensor couples actually to the anholonomy of the tetrad ﬁeld — if we wish, to the completely antysymmetrized anholonomy coeﬃcient.
Spin and Anholonomy in General Relativity
At each point of the Riemannian space, Eq. (1) only determines the tetrad ﬁeld up to Lorentz transformations in the tetrad indices.
Spin and Anholonomy in General Relativity
Now, on such a curve there exists a tetrad ﬁeld {Ha} which is paralleltransported all along.9 That frame is inertial: by Eqs.(44) and (45), it has vanishing acceleration.
Spin and Anholonomy in General Relativity
We want the perturbed tetrad to remain orthonormal.
On the stability of general relativistic geometric thin disks
U µ , X µ , Y µ ) are the components of the tetrad previously deﬁned.
On the stability of general relativistic geometric thin disks
Thus, we set the perturbations on the Z µ tetrad vector equal to zero.
On the stability of general relativistic geometric thin disks
The Ricci tensor null tetrad components (i.e.
Energy Transport in the Vaidya System
The Newman-Penrose tetrad consists of two real and two complex null vectors (lα , nα , mα , mα ), where the bar indicates complex conjugation.
General Relativistic Theory of Light Propagation in the Field of Radiative Gravitational Multipoles
The vectors of the null tetrad are not uniquely determined by specifying lα .
General Relativistic Theory of Light Propagation in the Field of Radiative Gravitational Multipoles
***