Torsion waves in metric-affine field theory
Alastair King,Dmitri Vassiliev +1 more
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TLDR
In this paper, the Yang-Mills action for the affine connection was used to model the neutrino in metric-affine field theory, and a special subfamily of spacetimes with zero Ricci curvature was found.Abstract:
The approach of metric-affine field theory is to define spacetime as a real oriented 4-manifold equipped with a metric and an affine connection. The 10 independent components of the metric tensor and the 64 connection coefficients are the unknowns of the theory. We write the Yang-Mills action for the affine connection and vary it both with respect to the metric and the connection. We find a family of spacetimes which are stationary points. These spacetimes are waves of torsion in Minkowski space. We then find a special subfamily of spacetimes with zero Ricci curvature; the latter condition is the Einstein equation describing the absence of sources of gravitation. A detailed examination of this special subfamily suggests the possibility of using it to model the neutrino. Our model naturally contains only two distinct types of particles which may be identified with left-handed neutrinos and right-handed antineutrinos.read more
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Book
Gauge Theories Of Gravitation: A Reader With Commentaries
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Einstein-aether theory, violation of Lorentz invariance, and metric-affine gravity
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A special exact spherically symmetric solution in f(T) gravity theories
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References
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Journal ArticleDOI
The classical theory of fields
TL;DR: The principle of relativity Relativistic mechanics Electromagnetic fields electromagnetic waves as discussed by the authors The propagation of light The field of moving charges Radiation of electromagnetic waves Particle in a gravitational field The gravitational field equation
Book
Quantum Field Theory
TL;DR: In this article, a modern pedagogic introduction to the ideas and techniques of quantum field theory is presented, with a brief overview of particle physics and a survey of relativistic wave equations and Lagrangian methods.
Book
Geometry, topology, and physics
TL;DR: Geometry, Topology and physics, Second Edition as mentioned in this paper is an excellent introduction to differential geometry and topology for postgraduate students and researchers in theoretical and mathematical physics, with a considerably expanded first chapter, reviewing aspects of path integral quantization and gauge theories.
Book
The Meaning of Relativity
TL;DR: The Meaning of Relativity as mentioned in this paper is the first book by Einstein to be published by an American publisher, having been published by Princeton University Press in 1921 under the title "The Stafford Little Lectures for that year".
Journal ArticleDOI
Metric affine gauge theory of gravity: Field equations, Noether identities, world spinors, and breaking of dilation invariance
TL;DR: In this article, the authors present explicit models for a symmetry breakdown in the cases of the Weyl (or homothetic) group, the SL(4, R), or the GL(4-R) covering subgroup.