Two-step spacetime deformation-induced dynamical torsion

Abstract

We extend the geometrical ideas of the spacetime deformations to study the physical foundation of the post-Riemannian geometry. To this aim, we construct the theory of two-step spacetime deformation as a guiding principle. We address the theory of teleparallel gravity and construct a consistent Einstein-Cartan (EC) theory with the dynamical torsion. We show that the equations of the standard EC theory, in which the equation defining torsion is the algebraic type and, in fact, no propagation of torsion is allowed, can be equivalently replaced by the set of modified EC equations in which the torsion, in general, is dynamical. The special physical constraint imposed upon the spacetime deformations yields the short-range propagating spin-spin interaction.

Rotating Black Holes in Microscopic Theory: the Implications for Periodic Source M82X-2

“…The proposed theory explores a spontaneous breaking of gravitation gauge symmetry ( [18,9,10] and earlier references cited therein, which thoroughly discussed in [11,12]). Much use has been made of the language of fundamental geometric structure, that is, a distortion gauge induced fiber-bundle, incorporating with the spacetime deformation/distortionframework [12,19,20].…”

“…In the framework of spacetime deformation theory ( [19] and references therein), we consider a smooth deformation map Ω : M 4 → M 4 , written in the terms of the world-deformation tensor Ω, the general, M 4 , and the flat, M 4 , smooth differential 4D-manifolds. A following notational conventions will be used throughout this paper.…”

“…The interested reader is invited to consult the original papers [19,12,20] for further details of the theory of spacetime deformation.…”

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“…This extension, suitable for applications in extremely high energy astrophysics, is a bold assumption in its own right. In its present formulation, this theory exploits the language of the fundamental geometric structure-distortion gauge induced fiber-bundle, which provides a modified gravitational theory, as a corollary of the spacetime deformation/distortion framework, suggested by Ter-Kazarian (2015a) (see also Ter-Kazarian 2011, 2015b. It should be emphasized, that the standard Riemannian (and its extensions) space interacting quantum field theory cannot be a satisfactory ground for addressing the problems in quest.…”

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