论文标题
爱因斯坦田间方程，递归运算符，noether和smaster对称性托有泊松歧管中的对称性
Einstein field equation, recursion operators, Noether and master symmetries in conformable Poisson manifolds
论文作者
论文摘要
我们表明，一个相对具有符合差异的括号的Minkowski相空间实现了一个泊松代数，并授予了Bi-Hamiltonian结构为由此产生的歧管。我们推断相关的哈密顿载体场是无限的noether对称性，并计算相应的变形递归操作员。 Besides, using the Hamiltonian-Jacobi separability, we construct recursion operators for Hamiltonian vector fields in conformable Poisson-Schwarzschild and Friedmann-Lemaître-Robertson-Walker (FLRW) manifolds, and derive related constants of motion, Christoffel symbols, components of Riemann and Ricci tensors, Ricci constant and components of爱因斯坦张量。我们强调了两种歧管中双 - 哈米尔顿结构的层次结构的存在，并计算一个递归操作员和主体产生运动常数的家族。
We show that a Minkowski phase space endowed with a bracket relatively to a conformable differential realizes a Poisson algebra, confering a bi-Hamiltonian structure to the resulting manifold. We infer that the related Hamiltonian vector field is an infinitesimal Noether symmetry, and compute the corresponding deformed recursion operator. Besides, using the Hamiltonian-Jacobi separability, we construct recursion operators for Hamiltonian vector fields in conformable Poisson-Schwarzschild and Friedmann-Lemaître-Robertson-Walker (FLRW) manifolds, and derive related constants of motion, Christoffel symbols, components of Riemann and Ricci tensors, Ricci constant and components of Einstein tensor. We highlight the existence of a hierarchy of bi-Hamiltonian structures in both the manifolds, and compute a family of recursion operators and master symmetries generating the constants of motion.
