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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

A solution to the gravitational field equations based on a non-symmetric metric tensor is examined. Unlike Einstein's interpretation of electromagnetism, or Moffat's generalized gravity, it is shown that the non-symmetric part of the metric…

广义相对论与量子宇宙学 · 物理学 2012-07-24 Richard T. Hammond

The inclusion of a flat metric tensor in gravitation permits the formulation of a gravitational stress-energy tensor and the formal derivation of general relativity from a linear theory in flat spacetime. Building on the works of Kraichnan…

广义相对论与量子宇宙学 · 物理学 2015-06-25 J. Brian Pitts , W. C. Schieve

Recently, the problem of spin and orbital angular momentum (AM) separation has widely been discussed. Nowadays, all discussions about the possibility to separate the spin AM from the orbital AM in the gauge invariant manner are based on the…

高能物理 - 唯象学 · 物理学 2022-09-07 I. V. Anikin , A. S. Zhevlakov

We study $f(R,T)$ gravity, in which the curvature $R$ appearing in the gravitational Lagrangian is replaced by an arbitrary function of the curvature and the trace $T$ of the stress-energy tensor. We focus primarily on situations where $f$…

广义相对论与量子宇宙学 · 物理学 2019-10-02 Sarah B. Fisher , Eric D. Carlson

We analyze an alternative theory of gravity characterized by metrics that are tensor density of rank(0,2)and weight-1/2.The metric compatibility condition is supposed to hold. The simplest expression for the action of gravitational field is…

广义相对论与量子宇宙学 · 物理学 2008-12-18 Amir H. Abbassi , Amir M. Abbassi

We exploit an interpretation of gravity as the symmetry broken phase of a de Sitter gauge theory to construct new solutions to the first order field equations. The new solutions are constructed by performing large $Spin(4,1)$ gauge…

广义相对论与量子宇宙学 · 物理学 2010-11-01 Andrew Randono

Dipole fields are common in electromagnetism and may be viewed as the result of a positive and negative charge (or pole) which are close together. A dipole field in gravity is not expected to exist because negative mass has never been…

广义相对论与量子宇宙学 · 物理学 2020-06-02 Richard T Hammond

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

We discuss the uniqueness or non-uniqueness problem of the decomposition of the gluon field into the physical and pure-gauge components, which is the basis of the recently proposed two physically inequivalent gauge-invariant decompositions…

高能物理 - 唯象学 · 物理学 2015-06-15 Masashi Wakamatsu

We examine the claim of Babak and Grishchuk [1] to have solved the problem of localising the energy and momentum of the gravitational field. After summarising Grishchuk's flat-space formulation of gravity, we demonstrate its equivalence to…

广义相对论与量子宇宙学 · 物理学 2009-02-23 Luke M. Butcher , Anthony Lasenby , Michael Hobson

In a recent paper, we have shown that the way of gauge-invariant decomposition of the nucleon spin is not necessarily unique, but there still exists a preferable decomposition from the observational viewpoint. What was not complete in this…

高能物理 - 唯象学 · 物理学 2011-02-16 M. Wakamatsu

Adopting a non geometrical point of view, we are led to an alternative theory of the order two and symetric gravitational tensor field of GR. The field is no more interpreted as the metric of our space-time. The true metric is globally…

广义相对论与量子宇宙学 · 物理学 2013-04-26 Frederic Henry-Couannier

The search for the gravitational energy-momentum tensor is often qualified as an attempt of looking for ``the right answer to the wrong question''. This position does not seem convincing to us. We think that we have found the right answer…

广义相对论与量子宇宙学 · 物理学 2009-10-31 S V Babak , L P Grishchuk

We study a noncommutative theory of gravity in the framework of torsional spacetime. This theory is based on a Lagrangian obtained by applying the technique of dimensional reduction of noncommutative gauge theory and that the yielded…

综合物理 · 物理学 2014-12-30 Aref Yazdani

We discuss various proposals of separating a tensor field into pure-gauge and gauge-invariant components. Such tensor field decomposition is intimately related to the effort of identifying the real gravitational degrees of freedom out of…

广义相对论与量子宇宙学 · 物理学 2011-11-30 Xiang-Song Chen , Ben-Chao Zhu

The relativistic treatment of spin is a fundamental subject which has an old history. In various physical contexts it is necessary to separate the relativistic total angular momentum into an orbital and spin contribution. However, such…

核理论 · 物理学 2021-05-19 Enrico Speranza , Nora Weickgenannt

We construct new explicit vacuum solutions of quadratic metric-affine gravity. The approach of metric-affine gravity in using an independent affine connection produces a theory with 10+64 unknowns, which implies admitting torsion and…

广义相对论与量子宇宙学 · 物理学 2019-02-27 Vedad Pasic , Elvis Barakovic

A new gauge theory of gravity is presented. The theory is constructed in a flat background spacetime and employs gauge fields to ensure that all relations between physical quantities are independent of the positions and orientations of the…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Anthony Lasenby , Chris Doran , Stephen Gull

A de-Sitter gauge theory of the gravitational field is developed using a spherical symmetric Minkowski space-time as base manifold. The gravitational field is described by gauge potentials and the mathematical structure of the underlying…

广义相对论与量子宇宙学 · 物理学 2009-11-10 G. Zet , C. D. Oprisan , S. Babeti
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