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Multiscalar-torsion cosmology: exact and analytic solutions from noether symmetries
The Noether symmetry analysis is applied in a multiscalar field cosmological model in teleparallel gravity. In particular, we consider two scalar...
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Noether symmetries and isometries of the area-minimizing Lagrangian on vacuum classes of pp-waves
In this paper, we provide the Noether symmetries with gauge fields of the area-minimizing hypersurface Lagrangian according to some vacuum classes of...
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Classification of teleparallel Horndeski cosmology via Noether symmetries
Teleparallel Horndeski theory offers an avenue through which to circumvent the speed constraint of gravitational waves in an efficient manner....
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Locally Equivalent Symmetries
The first obstacle to the application of the effective field theory program to spacetime symmetries is the identification of independent fluctuations...
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Approximate Noether symmetries of the geodetic Lagrangian of spherically symmetric spacetimes
Spherical symmetry of heavenly bodies is an important property in gravitational theories. All celestial bodies are approximately spherical shapes due...
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Conservation laws and solution of the geodesic system of Gödel’s metric via Lie and Noether symmetries
We consider the geodesic system for Gödel’s metric as a toy model and solve it analytically using its Lie point symmetries. It is shown that the...
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Noether Symmetries and Some Exact Solutions in f(R, T 2) Theory
AbstractThe main purpose of this article is to analyze some physically viable solutions through the Noether symmetry technique in f ( R , T 2 ) theory....
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Generalized symmetries and Noether’s theorem in QFT
We show that generalized symmetries cannot be charged under a continuous global symmetry having a Noether current. Further, only non-compact...
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Hyperforce balance via thermal Noether invariance of any observable
Noether invariance in statistical mechanics provides fundamental connections between the symmetries of a physical system and its conservation laws...
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Variance of fluctuations from Noether invariance
The strength of fluctuations, as measured by their variance, is paramount in the quantitative description of a large class of physical systems,...
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Vertical extension of Noether theorem for scaling symmetries
The aim of this paper is to present a new approach to construct constants of motion associated with scaling symmetries of dynamical systems. Scaling...
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Noether symmetries, group analysis and soliton solutions of a (3+1)-dimensional generalized fifth-order Zakharov–Kuznetsov model with power, dual power laws and dispersed perturbation terms with real-world applications
Highly important is a three-dimensional nonlinear partial differential equation because for many physical systems, one can, subject to suitable...
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Cylindrically symmetric and plane-symmetric solutions in f(R) theory via Noether symmetries
The f ( R ) theory is considered for static cylindrically symmetric and plane-symmetric spacetimes. In order to find solutions to the field equations of...
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7 An Improved Noether Theorem. Spontaneous Symmetry Breaking
The existence of sectors, i.e. of “closed worlds” in the set of solutions of the non-linear equation (4.6), provides the mathematical and physical...
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Discrete Field Theory: Symmetries and Conservation Laws
We present a general algorithm constructing a discretization of a classical field theory from a Lagrangian. We prove a new discrete Noether theorem...
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Classical and quantum cosmology for two scalar field Brans–Dicke type theory: a Noether symmetry approach
The paper deals with a cosmological model containing two scalar fields which can be considered as an extension of the Brans–Dicke scalar field model....
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Noether symmetry analysis in scalar tensor cosmology: a study of classical and quantum cosmology
The present work deals with a complex scalar field in scalar tensor gravity theory in the background of spatially flat Friedmann–Lema
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Non-local curvature and Gauss–Bonnet cosmologies by Noether symmetries
Non-local gravity cosmologies are considered under the standard of Noether symmetry approach. In particular, we focus on non-local theories whose...
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Symmetries of Discrete Systems
In this series of lectures, we review the application of Lie point symmetries, and their generalizations, to the study of difference equations. The...