Approximate Noether symmetries and collineations for regular perturbative Lagrangians
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DOI: 10.1016/j.geomphys.2017.11.015
Abstract: Abstract Regular perturbative Lagrangians that admit approximate Noether symmetries and approximate conservation laws are studied. Specifically, we investigate the connection between approximate Noether symmetries and collineations of the underlying manifold. In particular we determine the… read more here.
Keywords: symmetries collineations; noether symmetries; approximate noether; collineations regular ... See more keywords
Noether symmetries and stability of ideal gas solutions in Galileon cosmology
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DOI: 10.1103/physrevd.95.064031
Abstract: A class of generalized Galileon cosmological models, which can be described by a point-like Lagrangian, is considered in order to utilize Noether's Theorem to determine conservation laws for the field equations. In the Friedmann-Lema\^{\i}tre-Robertson-Walker universe,… read more here.
Keywords: symmetries stability; cosmology; stability ideal; noether symmetries ... See more keywords
Non-local curvature and Gauss–Bonnet cosmologies by Noether symmetries
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DOI: 10.1140/epjp/s13360-020-00944-1
Abstract: Non-local gravity cosmologies are considered under the standard of Noether symmetry approach. In particular, we focus on non-local theories whose gravitational actions depend on curvature and Gauss–Bonnet scalar invariants. Specific functional forms of the related… read more here.
Keywords: gauss bonnet; non local; curvature gauss; noether symmetries ... See more keywords
Noether symmetries, dynamical constants of motion, and spectrum generating algebras
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DOI: 10.1142/s0217751x21501669
Abstract: When discussing consequences of symmetries of dynamical systems based on Noether’s first theorem, most standard textbooks on classical or quantum mechanics present a conclusion stating that a global continuous Lie symmetry implies the existence of… read more here.
Keywords: dynamical constants; noether symmetries; constants motion; noether charge ... See more keywords
Dynamical systems: Approximate Lagrangians and Noether symmetries
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DOI: 10.1142/s0219887819501603
Abstract: We determine the approximate Noether point symmetries of the variational principle characterizing second-order equations of motion of a particle in a (finite-dimensional) Riemannian manifold. In particular, the Lagrangian comprises of kinetic energy and a potential… read more here.
Keywords: approximate lagrangians; noether symmetries; dynamical systems; formula see ... See more keywords
Physical Significance of Noether Symmetries
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DOI: 10.3390/sym14030476
Abstract: In this paper, we will trace the development of the use of symmetry in discussing the theory of motion initiated by Emmy Noether in 1918. Though it started with its use in classical mechanics, and… read more here.
Keywords: significance noether; noether symmetries; theory; physical significance ... See more keywords
Noether Symmetries and Conservation Laws in Static Cylindrically Symmetric Spacetimes via Rif Tree Approach
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DOI: 10.3390/sym15010184
Abstract: A new approach is adopted to completely classify the Lagrangian associated with the static cylindrically symmetric spacetime metric via Noether symmetries. The determining equations representing Noether symmetries are analyzed using a Maple algorithm that imposes… read more here.
Keywords: static cylindrically; symmetric spacetimes; cylindrically symmetric; approach ... See more keywords