Journal ArticleDOI
On Hypermomentum in General Relativity II. The Geometry of Spacetime
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In this paper, a general linearly connected spacetime with a metric (L4, g) is shown to be an appropriate geometrical framework for general relativistic field theory.Abstract:
In Part I** of this series we have introduced the new notion of hypermomentum Δijk as a dynamical quantity characterizing classical matter fields. In Part II, as a preparation for a general relativistic field theory, we look for a geometry of spacetime which will allow for the accomodation of hypermomentum into general relativity. A general linearly connected spacetime with a metric (L4, g) is shown to be the appropriate geometrical frameworkread more
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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.
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Metric-affine variational principles in general relativity. I. Riemannian space-time
TL;DR: In this article, the Lagrange multiplier which effects this constraint, the hypermomentum current, is closely related to the constraint "force" which keeps space-time Riemannian.
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Short-range confining component in a quadratic poincaré gauge theory of gravitation
TL;DR: In the framework of Poincare gauge field theory, this paper showed that a certain quadratic Lagrangian has three limits: (1) a weak-field limit with a newtonian and a "confinement" potential, (2) a general relativistic limit including the Schwarzschild solution, and (3) the unphysical limit of a riemannian model of spacetime with a curvature-square lagrangian.
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A thermal interpretation of the cosmological constant
TL;DR: In this article, a generalised theory of gravity is proposed, in which the motion of a test particle is characterised by a finite proper acceleration in the local tangent space, and the theory is interpreted as an effective classical description of the finite temperature geometry experienced by quantum fields at a microscopic level.
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Hyperfluid — a model of classical matter with hypermomentum
TL;DR: In this article, a variational theory of a continuous medium is developed the elements of which carry momentum and hypermomentum ( hyperfluid ), and it is shown that the structure of the sources in metric-affine gravity is predetermined by the conservation identifies and, when using the Weyssenhoff ansatz, these explicitly yield the hyper-fluid currents.