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The irreducible decomposition technique is applied to the study of classical models of metric-affine gravity (MAG). The dynamics of the gravitational field is described by a 12-parameter Lagrangian encompassing a Hilbert-Einstein term,…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Yu. N. Obukhov , E. J. Vlachynsky , W. Esser , F. W. Hehl

The spacetime of the metric-affine gauge theory of gravity (MAG) encompasses {\it nonmetricity} and {\it torsion} as post-Riemannian structures. The sources of MAG are the conserved currents of energy-momentum and dilation, shear and spin.…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Yu. N. Obukhov , E. J. Vlachynsky , W. Esser , R. Tresguerres , F. W. Hehl

In Minkowski spacetime it is well-known that the canonical energy-momentum current is involved in the construction of the globally conserved currents of energy-momentum and total angular momentum. For the construction of conserved currents…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Ralf Hecht , Friedrich W. Hehl , J. Dermott McCrea , Eckehard W. Mielke , Yuval Ne'eman

We study the cosmology of the complete quadratic (in torsion and nonmetricity) metric-affine gravity. Namely, we add to the scalar-curvature gravitational Lagrangian, the 17 independent quadratic (parity-even and parity-odd) torsion and…

广义相对论与量子宇宙学 · 物理学 2024-05-01 Damianos Iosifidis , Konstantinos Pallikaris

In this paper we study the cosmological aspects of metric-affine $f(R)$ gravity with hyperfluid. The equations of motion of the theory are obtained by varying the action with respect to the metric and the independent connection.…

广义相对论与量子宇宙学 · 物理学 2024-04-29 Damianos Iosifidis , Ratbay Myrzakulov , Lucrezia Ravera

In this work we study diffeomorphism-invariant metric-affine theories of gravity from the point of view of self-interacting field theories on top of Minkowski spacetime (or other background). We revise how standard metric theories couple to…

广义相对论与量子宇宙学 · 物理学 2023-12-12 Adrià Delhom , Gerardo García-Moreno , Manuel Hohmann , Alejandro Jiménez-Cano , Tomi S. Koivisto

We present a gauge formulation of the special affine algebra extended to include an antisymmetric tensorial generator belonging to the tensor representation of the special linear group. We then obtain a Maxwell modified metric affine…

高能物理 - 理论 · 物理学 2021-10-27 Oktay Cebecioğlu , Salih Kibaroğlu

According to Yang \& Mills (1954), a {\it conserved} current and a related rigid (`global') symmetry lie at the foundations of gauge theory. When the rigid symmetry is extended to a {\it local} one, a so-called gauge symmetry, a new…

广义相对论与量子宇宙学 · 物理学 2020-11-24 Friedrich W. Hehl , Yuri N. Obukhov

By treating the real Maxwell Field and real linearized Einstein equations as being imbedded in complex Minkowski space, one can interpret magnetic moments and spin-angular momentum as arising from a charge and mass monopole source moving…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Ezra T. Newman

We show that Fronsdal's Lagrangian for a free massless spin-3 gauge field in Minkowski spacetime is contained in a general Yang--Mills-like Lagrangian of metric-affine gravity (MAG), the gauge theory of the general affine group in the…

高能物理 - 理论 · 物理学 2008-11-26 Peter Baekler , Nicolas Boulanger , Friedrich W. Hehl

The electrodynamic theory of continuous media is probably the most convenient platform when trying to construct analog gravity theories. Quite naturally, this topic has gained considerable interest. One peculiar but not so very known…

广义相对论与量子宇宙学 · 物理学 2020-11-05 Iver Brevik

In Einstein's gravitational theory, the spacetime is Riemannian, that is, it has vanishing torsion and vanishing nonmetricity (covariant derivative of the metric). In the gauging of the general affine group ${A}(4,R)$ and of its subgroup…

广义相对论与量子宇宙学 · 物理学 2008-11-26 F. W. Hehl , J. D. McCrea , E. W. Mielke , Y. Ne'eman

In metric-affine gravity, both the gravitational and matter actions depend not just on the metric, but also on the independent affine connection. Thus matter can be modeled as a hyperfluid, characterized by both the energy-momentum and…

广义相对论与量子宇宙学 · 物理学 2025-03-25 Ilaria Andrei , Damianos Iosifidis , Laur Järv , Margus Saal

A gravity theory without masses can be constructed in Minkowski spaces using a geometric Minkowski potential. The related affine spacelike spheres can be seen as the regions of the Minkowski spacelike vectors characterized by a constant…

广义相对论与量子宇宙学 · 物理学 2019-10-23 Wladimir-Georges Boskoff , Salvatore Capozziello

The notions of "motion" and "conserved quantities", if applied to extended objects, are already quite non-trivial in Special Relativity. This contribution is meant to remind us on all the relevant mathematical structures and constructions…

数学物理 · 物理学 2021-04-07 Domenico Giulini

We argue that space-time properties are not absolute with respect to the used frame of reference as is to be expected according to ideas of relativity of space and time properties by Berkley - Leibnitz - Mach- Poincar\'{e}. From this point…

广义相对论与量子宇宙学 · 物理学 2007-05-23 L. V. Verozub

Metric-affine theories of gravity provide an interesting alternative to General Relativity: in such an approach, the metric and the affine (not necessarily symmetric) connection are independent quantities. Furthermore, the action should…

广义相对论与量子宇宙学 · 物理学 2012-11-08 Vincenzo Vitagliano , Thomas P. Sotiriou , Stefano Liberati

Examples in which spacetime might become non-Riemannian appear above Planck energies in string theory or, in the very early universe, in the inflationary model. The simplest such geometry is metric-affine geometry, in which {\it…

广义相对论与量子宇宙学 · 物理学 2010-04-06 Yuval Ne'eman , Friedrich W. Hehl

The concept of rigid reference frame and of constricted spatial metric, given in the previous work [\emph{Class. Quantum Grav.} {\bf 21}, 3067,(2004)] are here applied to some specific space-times: In particular, the rigid rotating disc…

广义相对论与量子宇宙学 · 物理学 2008-11-26 D. Soler

Since the main open problem of contemporary physics is to find a unified description of the four interactions, we present a possible scenario which, till now only at the classical level, is able to englobe experiments ranging from…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Luca Lusanna
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