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The Covariant Canonical Gauge theory of Gravity is generalized by including at the Lagrangian level all possible quadratic curvature invariants. In this approach, the covariant Hamiltonian principle and the canonical transformation…

广义相对论与量子宇宙学 · 物理学 2018-12-05 David Benisty , Eduardo I. Guendelman , David Vasak , Jurgen Struckmeier , Horst Stoecker

Curvature and torsion are the two tensors characterizing a general Riemannian spacetime. In Einstein's general theory of gravitation, with torsion postulated to vanish and the affine connection identified to the Christoffel symbol, only the…

广义相对论与量子宇宙学 · 物理学 2013-09-05 H. T Nieh

Symmetric Metric-Affine Gravity is a theory of gravity with an independent non-metric connection, and zero torsion. It can be thought of as ordinary metric gravity coupled to a rank-three tensor Q, symmetric in one pair of indices. This…

高能物理 - 理论 · 物理学 2025-08-21 Roberto Percacci , Ergin Sezgin

Torsion and curvature could play a fundamental role in explaining cosmological dynamics. f(R)-gravity with torsion is an approach aimed to encompass in a comprehensive scheme all the Dark Side of the Universe (Dark Energy and Dark Matter).…

广义相对论与量子宇宙学 · 物理学 2014-11-20 S. Capozziello , S. Vignolo

It is well known that Einstein General Relativity can be expressed covariantly in bi-metric spacetime, without the uncertainties which arise from the effects of gravitational energy-momentum pseudo-tensors. However the effect that the…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Darryl J. Leiter , Stanley L. Robertson

A theory of gravity with torsion is examined in which the torsion tensor is constructed from the exterior derivative of an antisymmetric rank two potential plus the dual of the gradient of a scalar field. Field equations for the theory are…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Charro Gruver , Richard Hammond , P. F. Kelly

The intriguing choice to treat alternative theories of gravity by means of the Palatini approach, namely elevating the affine connection to the role of independent variable, contains the seed of some interesting (usually under-explored)…

广义相对论与量子宇宙学 · 物理学 2015-06-16 Vincenzo Vitagliano

The essentially unique torsionful version of the classical two-component spinor formalisms of Infeld and van der Waerden is presented. All the metric spinors and connecting objects that arise here are formally the same as the ones borne by…

数学物理 · 物理学 2015-01-26 J. G. Cardoso

The approach of metric-affine gravity initially distinguishes it from Einstein's general relativity. Using an independent affine connection produces a theory with 10+64 unknowns. We write down the Yang-Mills action for the affine connection…

广义相对论与量子宇宙学 · 物理学 2015-09-28 Vedad Pasic , Elvis Barakovic

The metric-affine Lagrangian of Ponomarev and Obukhov for the unified gravitational and electromagnetic field is linear in the Ricci scalar and quadratic in the tensor of homothetic curvature. We apply to this Lagrangian the variational…

广义相对论与量子宇宙学 · 物理学 2011-06-15 Nikodem J. Poplawski

The cosmology of metric-affine gravity is studied for the general, parity preserving action quadratic in curvature, torsion and non-metricity. The model contains 27 a priori independent couplings in addition to the Einstein constant. Linear…

广义相对论与量子宇宙学 · 物理学 2024-12-23 Thomas Dyer , Will Barker , Damianos Iosifidis

In this paper we investigate the manner in which the internal spin angular momentum of a spinor field is encoded in the gravitational field at asymptotic infinity. The inclusion of internal spin requires us to re-analyze our notion of…

广义相对论与量子宇宙学 · 物理学 2013-05-29 Andrew Randono , David Sloan

On the basis of an algebraic relation between torsion and a classical spinor field a new interpretation of Einstein-Cartan gravity interacting with classical spinor field is proposed. In this approach the spinor field becomes an auxiliary…

广义相对论与量子宇宙学 · 物理学 2009-10-31 V. Dzhunushaliev , D. Singleton

A complete geometric unification of gravity and electromagnetism is proposed by considering two aspects of torsion: its relation to spin established in Einstein--Cartan theory and the possible interpretation of the torsion trace as the…

高能物理 - 理论 · 物理学 2007-05-23 Kenichi Horie

One of the reasons why Einstein-Cartan-Sciama-Kibble theory --- which includes torsion due to the intrinsic spin of matter --- is not widely accepted as a viable theory of gravity, is the lack of any experimental evidence for the…

广义相对论与量子宇宙学 · 物理学 2022-02-13 Carl F. Diether , Joy Christian

A non-geometrical (but with curved space) theory of gravitation characterized by a vector field representing gravitational matter and a metric tensor presenting space is presented. It is derived from a more general theory of matter and…

广义相对论与量子宇宙学 · 物理学 2008-03-13 Boris Hikin

In this paper, we first review some aspects of the f(R) gravity and then the concept of torsion of space-time due to metric-affine formalism in f(R) gravity is studied. Within this formalism in which the matter action is supposed to…

综合物理 · 物理学 2012-07-10 Majid Mohsenzadeh , Ebrahim Yusofi

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 purely affine, metric-affine and purely metric formulation of general relativity are dynamically equivalent and the relation between them is analogous to the Legendre relation between the Lagrangian and Hamiltonian dynamics. We show…

广义相对论与量子宇宙学 · 物理学 2014-11-18 Nikodem J. Poplawski

Recently we have presented a new formulation of the theory of gravity based on an implementation of the Einstein Equivalence Principle distinct from General Relativity. The kinetic part of the theory - that describes how matter is affected…

广义相对论与量子宇宙学 · 物理学 2010-10-27 M. Novello