The fundamental form of a homogeneous Lagrangian in two independent variables
نویسنده
چکیده
We construct, for a homogeneous Lagrangian of arbitrary order in two independent variables, a differential 2-form with the property that it is closed precisely when the Lagrangian is null. This is similar to the property of the ‘fundamental Lepage equivalent’ associated with first-order Lagrangians defined on jets of sections of a fibred manifold.
منابع مشابه
The fundamental form of a second-order homogeneous Lagrangian in two variables
We construct, for a second-order homogeneous Lagrangian in two independent variables, a differential 2-form with the property that it is closed precisely when the Lagrangian is null. This is similar to the property of the ‘fundamental Lepage equivalent’ associated with first-order Lagrangians defined on jets of sections of a fibred manifold. We show that this form may be defined on a fourth-ord...
متن کاملNoether Symmetry in f(T) Theory at the anisotropic universe
As it is well known, symmetry plays a crucial role in the theoretical physics. On other hand, the Noether symmetry is a useful procedure to select models motivated at a fundamental level, and to discover the exact solution to the given lagrangian. In this work, Noether symmetry in f(T) theory on a spatially homogeneous and anisotropic Bianchi type I universe is considered. We discuss the Lagran...
متن کاملتبدیلات دوگانگی آبلی استاندارد در گرانش f(T)
According to the perturbation order, the equations of motion of low-energy string effective action are the generalized Einstein equations. Thus, by making use of the conformal transformation of the metric tensor, it is possible to map the low-energy string effective action into f(T) gravity, relating the dilaton field to the torsion scalar. Considering a homogeneous and isotropic universe and ...
متن کاملAn investigation into the frequency of Language Related Episodes in the EFL learners’ Homogeneous and Heterogeneous Dyadic Interaction
This study attempted to compare the relative frequency of the occurrence of Language Related Episodes (LREs) in the dyadic talks of pairs who were homogeneous and heterogeneous in terms of English proficiency. LREs are those parts of the conversations where the interlocutors explicitly focus on linguistic form. The study was carried out with 60 Iranian university students of teaching English a...
متن کاملPerformance of a Two-stages Gas Gun: Experimental, Analytical and Numerical Analysis
Two stages gas guns are used for various purposes, particularly for mechanical characterization of materials at high rate of deformations. The performance of a two stages gas gun is studied in this work using the theory of the two-stage gas gun proposed by Rajesh, numerical simulation using combined Eulerian/ Lagrangian elements in Autodyna commercial code and experiment using a two stage gas g...
متن کامل