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Gauge-invariant treatments of the second-order cosmological perturbation in a four dimensional homogeneous isotropic universe are formulated without any gauge fixing. We have derived the Einstein equations in the case of the single perfect…

广义相对论与量子宇宙学 · 物理学 2009-01-27 Kouji Nakamura

We review an approach developed in the last few years by our group in which GR is modified in the infrared, at an effective level, by nonlocal terms associated to a mass scale. We begin by recalling the notion of quantum effective action…

高能物理 - 理论 · 物理学 2016-06-29 Michele Maggiore

The problem of finding a covariant expression for the distribution and conservation of gravitational energy-momentum dates to the 1910s. A suitably covariant infinite-component localization is displayed, reflecting Bergmann's realization…

广义相对论与量子宇宙学 · 物理学 2014-10-10 J. Brian Pitts

In the Palatini action of general relativity the connection and the metric are treated as independent dynamical variables. Instead of assuming a relation between these quantities, the desired relation between them is derived through the…

广义相对论与量子宇宙学 · 物理学 2009-11-05 Eran Rosenthal

Our main interest here is to analyze the gauge invariance issue concerning the noncommutative relativistic particle. Since the analysis of the constraint set from Dirac's point of view classifies it as a second-class system, it is not a…

高能物理 - 理论 · 物理学 2018-01-17 Everton M. C. Abreu , Cresus F. L. Godinho

A new variational approach for general relativity and modified theories of gravity is presented. In addition to the metric tensor, two independent affine connections enter the action as dynamical variables. In the matter action the…

广义相对论与量子宇宙学 · 物理学 2015-06-05 Nicola Tamanini

The analysis of measurements of accelerated observers in Minkowski spacetime has led to the development of nonlocal special relativity theory. Inertia and gravitation are intimately connected in accordance with the principle of equivalence.…

广义相对论与量子宇宙学 · 物理学 2012-10-11 Bahram Mashhoon

We present a class of modified-gravity theories which we call ultra-local models. We add a scalar field, with negligible kinetic terms, to the Einstein-Hilbert action. We also introduce a conformal coupling to matter. This gives rise to a…

宇宙学与河外天体物理 · 物理学 2016-08-17 Philippe Brax , Luca Alberto Rizzo , Patrick Valageas

Motivated by the conjecture that the cosmological constant problem could be solved by strong quantum effects in the infrared we use the exact flow equation of Quantum Einstein Gravity to determine the renormalization group behavior of a…

高能物理 - 理论 · 物理学 2009-11-07 M. Reuter , F. Saueressig

We derive Einstein's equations from a linear theory in flat space-time using free-field gauge invariance and universal coupling. The gravitational potential can be either covariant or contravariant and of almost any density weight. We adapt…

广义相对论与量子宇宙学 · 物理学 2008-11-26 J. Brian Pitts , W. C. Schieve

Recently a new approach in constructing the conserved charges in cosmological Einstein's gravity was given. In this new formulation, instead of using the explicit form of the field equations a covariantly conserved rank four tensor was…

高能物理 - 理论 · 物理学 2019-05-07 Emel Altas

We systematically construct derivative self-interactions for massless and massive 2-forms. There exists a no-go theorem in the literature for constructing Galileon-like Lagrangians in four dimensions for the 2-form with gauge invariance,…

高能物理 - 理论 · 物理学 2020-05-20 Lavinia Heisenberg , Georg Trenkler

In the present paper we consider a theory of gravity in which not only curvature but also torsion is explicitly present in the Lagrangian, both with their own coupling constant. In particular, we discuss the couplings to Dirac fields and…

广义相对论与量子宇宙学 · 物理学 2012-12-06 Luca Fabbri , Stefano Vignolo , Cosimo Stornaiolo

The quantization of Einstein-Maxwell theory with a cosmological constant is considered. We obtain all logarithmically divergent terms in the one-loop effective action that involve only the background electromagnetic field. This includes…

高能物理 - 理论 · 物理学 2009-11-06 David J. Toms

We propose a reformulation of general relativity by making the Abelian decomposition of Einstein's theory. Based on the view that Einstein's theory can be interpreted as a gauge theory of Lorentz group, we decompose the Einstein's…

高能物理 - 理论 · 物理学 2016-11-09 Y. M. Cho , Sang-Woo Kim , J. H. Kim

It has been suggested that one may construct a Lorentz-invariant noncommutative field theory by extending the coordinate algebra to additional, fictitious coordinates that transform nontrivially under the Lorentz group. Integration over…

高能物理 - 唯象学 · 物理学 2009-11-11 Christopher D. Carone , Herry J. Kwee

We develop worldline formulations of covariant fracton gauge theories. These are a one-parameter family of gauge theories of a rank-two symmetric tensor field, invariant under a scalar gauge transformation involving a double derivative.…

高能物理 - 理论 · 物理学 2026-02-10 Filippo Fecit , Davide Rovere

High-energy extensions to General Relativity modify the Einstein-Hilbert action with higher-order curvature corrections and theory-specific coupling constants. The order of these corrections imprints a universal curvature dependence on…

广义相对论与量子宇宙学 · 物理学 2024-12-20 Ethan Payne , Maximiliano Isi , Katerina Chatziioannou , Luis Lehner , Yanbei Chen , Will M. Farr

Coset methods are used to construct the action describing the dynamics associated with the spontaneous breaking of the local supersymmetries. The resulting action is an invariant form of the Einstein-Hilbert action, which in addition to the…

高能物理 - 理论 · 物理学 2008-11-26 T. E. Clark , S. T. Love , Muneto Nitta , T. ter Veldhuis

The Einstein theory of general relativity provides a peculiar example of classical field theory ruled by non-linear partial differential equations. A number of supplementary conditions (more frequently called gauge conditions) have also…

广义相对论与量子宇宙学 · 物理学 2016-11-23 Giampiero Esposito , Cosimo Stornaiolo