13 citations · 19 across the 8 of their papers we have counts for
8 papers
A Unified Invariant Formulation, by Frames, from General Relativity to the Atomic Scale
Shmuel Kaniel
The aim of this article is the formulation of the basic laws of Physics by frames, i.e. quadruples of exterior differential one forms. The basic operator is a modification of the H…
An invariant joint alternative, by frames, to Einstein and Schroedinger equations
Shmuel Kaniel
The Hodge-de Rham Laplacean is an extension to forms of the wave equation. A frame is a quartuple of 1-forms. The Hodge-de Rham Laplacean is modified to model it on the frame itsel…
Equations of motion for a (non-linear) scalar field model as derived from the field equations
Shmuel Kaniel, Yakov Itin
The problem of derivation of the equations of motion from the field equations is considered. Einstein's field equations have a specific analytical form: They are linear in the seco…
On the derivation of the equations of motion in theories of gravity
Shmuel Kaniel, Yakov Itin
The equations of motion of massive particles in GR are completely determined by the field equation. We utilize the particular form of Einstein's field equation and propose for the…
On the derivation of the equation of motion in a scalar model
Shmuel Kaniel, Yakov Itin
A new method for derivation of the equation of motion from the field equation is proposed. The problem of embedding the singularities in a field satisfying the field equations is d…
Equation of motion in a scalar model of gravity
Shmuel Kaniel, Yakov Itin
A scalar model of gravity is considered. We propose Lorentz invariant field equation . The aim of this model is to get, approximately, Newton's law…
On a class of invariant coframe operators with application to gravity
Yakov Itin, Shmuel Kaniel
Let a differential 4D-manifold with a smooth coframe field be given. Consider the operators on it that are linear in the second order derivatives or quadratic in the first order de…
Gravity on parallelizable manifold
S. Kaniel, Y. Itin
General relativity postulates that the gravity field is defined on a Riemannian manifold. The field equations are i.e. Ricci's curvature tensor vanishes. The field equat…