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We present some gauge conditions to eliminate all second time derivative terms in the vierbein forms of the ten Einstein equations of general relativity; at the same time, we present the corresponding Lagrangian in which there is not any…

广义相对论与量子宇宙学 · 物理学 2010-10-28 T. Mei

Galileon gravity is a robust theoretical alternative to general relativity with a cosmological constant for explaining cosmic acceleration, with interesting properties such as having second order field equations and a shift symmetry. While…

宇宙学与河外天体物理 · 物理学 2015-06-04 Stephen A. Appleby , Eric V. Linder

A certain vector-tensor (VT) theory is revisited. It was proposed and analyzed as a theory of electromagnetism without the standard gauge invariance. Our attention is first focused on a detailed variational formulation of the theory, which…

宇宙学与河外天体物理 · 物理学 2013-01-15 Roberto Dale , Diego Sáez

A tensor description of perturbative Einsteinian gravity about an arbitrary background spacetime is developed. By analogy with the covariant laws of electromagnetism in spacetime, gravito-electromagnetic potentials and fields are defined to…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Simon J. Clark , Robin W. Tucker

A new geometry, called General geometry, is constructed. It is proven that its the most simplest special case is geometry underlying Electromagnetism. Another special case is Riemannian geometry. Action for electromagnetic field and Maxwell…

综合物理 · 物理学 2007-05-23 Shervgi Shahverdiyev

We revisit the question of whether classical general relativity obeys, beyond the linearised order, an analogue of the global U(1) electric-magnetic duality of Maxwell theory, with the Riemann tensor playing the role analogous to the field…

高能物理 - 理论 · 物理学 2024-05-02 Ricardo Monteiro

By resolving the Riemann curvature relative to a unit timelike vector into electric and magnetic parts, we consider duality relations analogous to the electromagnetic theory. It turns out that the duality symmetry of the Einstein action…

广义相对论与量子宇宙学 · 物理学 2015-06-25 Naresh Dadhich

We consider Galileon models on curved spacetime, as well as the counterterms introduced to maintain the second-order nature of the field equations of these models when both the metric and the scalar are made dynamical. Working in a gauge…

广义相对论与量子宇宙学 · 物理学 2015-10-29 Cedric Deffayet , Gilles Esposito-Farese , Daniele A. Steer

We here consider a generalization of the Klein-Gordon scalar wave equation which involves a single arbitrary function. The quantization may be viewed as allowing $\hbar$ to be a function of the momentum or wave vector rather than a…

高能物理 - 理论 · 物理学 2007-05-23 Ronald J. Adler , David I. Santiago

We develop an unified algebraic approach to the description of gauge interactions within the framework of a new concept of quantum mechanics. The next step in generalizing the space-time and the action vector space is made. The gauge field…

量子物理 · 物理学 2007-05-23 A. A. Ketsaris

The Lagrangians and Hamiltonians of classical field theory require to comprise gauge fields in order to be form-invariant under local gauge transformations. These gauge fields have turned out to correctly describe pertaining elementary…

核理论 · 物理学 2023-04-26 Jürgen Struckmeier

We consider the existence and stability of solitons in generalized galileons, scalar field theories with higher-derivative interactions but second-order equations of motion. It has previously been proven that no stable, static solitons…

高能物理 - 理论 · 物理学 2016-12-28 Mariana Carrillo-Gonzalez , Ali Masoumi , Adam R. Solomon , Mark Trodden

Noncommutative geometric construction of gravity in the two sheeted spacetime can be viewed as a discretized version of a Kaluza-Klein theory. In this paper, we show that it is possible to incorporate the nonabelian gauge fields in the same…

广义相对论与量子宇宙学 · 物理学 2020-09-25 Viet Ai Nguyen , Du Tien Pham

In this and companion papers, we show that quantum field theories with gauge symmetries permit a broader class of classical dynamics than typically assumed. In this article, we show that the quantization of electromagnetism permits the…

高能物理 - 理论 · 物理学 2023-07-19 David E. Kaplan , Tom Melia , Surjeet Rajendran

A general form for the equation of motion for higher-curvature gravity is obtained. The interesting feature of the analysis is that it can handle Lagrangians which contain non-minimal kinetic scalar couplings. Certain subtle features, which…

广义相对论与量子宇宙学 · 物理学 2015-01-22 Saugata Chatterjee

Under the classical non-relativistic consideration of the space-time we propose the model of the laws of gravity and Electrodynamics, invariant under the galilean transformations and moreover, under every change of non-inertial cartesian…

综合物理 · 物理学 2024-10-29 Arkady Poliakovsky

In this and a companion paper, we show that quantum field theories with gauge symmetries permit a broader class of classical dynamics than typically assumed. In this article, we show that the dynamics extracted from the path integral or…

高能物理 - 理论 · 物理学 2023-05-04 David E. Kaplan , Tom Melia , Surjeet Rajendran

We provide a complete classification of all abelian gauge invariant $p$-form theories with equations of motion depending only on the second derivative of the field---the $p$-form analogues of the Galileon scalar field theory. We construct…

高能物理 - 理论 · 物理学 2017-09-06 Cédric Deffayet , Sebastian Garcia-Saenz , Shinji Mukohyama , Vishagan Sivanesan

The recent progress in the study of Galileons, i.e. equations of second order with an action invariant under a Galilean transformation is related to work on `Universal Field Equations' \cite{dbfgov} which are second order equations arising…

高能物理 - 理论 · 物理学 2011-06-28 David Fairlie

We study spatially flat bouncing cosmologies and models with the early-time Genesis epoch in a popular class of generalized Galileon theories. We ask whether there exist solutions of these types which are free of gradient and ghost…

高能物理 - 理论 · 物理学 2016-08-31 M. Libanov , S. Mironov , V. Rubakov