Noether Symmetries and Covariant Conservation Laws in Classical, Relativistic and Quantum Physics
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Summary
The Lagrangian formulation of (generalised) Noether symmetries in the framework of Calculus of Variations in Jet Bundles is reviewed and a few substantially new and very recent applications/examples are presented to better show the power of the methods introduced.
- Type
- article
- Published
- 2010-01-17
- Cited by
- 18
- References
- 39
- Access
- Open access
- OpenAlex
- https://openalex.org/W2049410196
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:10843762
Keywords
Noether's theorem, Conservation law, Covariant transformation, Homogeneous space, Mathematical physics
References
- Natural and gauge natural formalism for classical field theorie[s] : a geometric perspective including spinors and gauge theories
- The Geometry of Jet Bundles
- A geometric definition of Lie derivative for Spinor Fields
- Theory of Singular Lagrangians
- Quantum gravity and Regge calculus
- Spacetime Lagrangian formulation of Barbero–Immirzi gravity
- Gauge-natural bundles and generalized gauge theories
- Natural operations in differential geometry
- Extended theories of gravity and their cosmological and astrophysical applications
- f(R) Theories Of Gravity
- Singular Lagrangian Systems on Jet Bundles
- A Bird's Eye View of f (R)-Gravity
- Legendre transformation and dynamical structure of higher derivative gravity
- Existence theorem for gauge symmetries in Hamiltonian constrained systems
- Natural bundles have finite order
- Invariant Variation Problems
- From Dark Energy & Dark Matter to Dark Metric
- On a covariant formulation of the Barbero–Immirzi connection
- ADM Pseudotensors, Conserved Quantities and Covariant Conservation Laws in General Relativity
- COVARIANT ENERGY IN MECHANICS
Cited by
- Boundary conditions for Black Holes using the Ashtekar Isolated and Dynamical Horizons formalism
- Covariant Differential Identities and Conservation Laws in Metric-Torsion Theories of Gravitation. I. General Consideration
- On the equivalence of the Einstein–Hilbert and the Einstein–Palatini formulations of general relativity for an arbitrary connection
- Generalized Noether symmetry in f(T) gravity
- A definition of background independence
- Symmetry and Evolution in Quantum Gravity
- Noether symmetries in extended gravity quantum cosmology
- Emergent Gravity from an Augmented Variational Principle
- Cosmological lorentzian wormholes via noether symmetry approach
- Quantum cosmology for non-minimally coupled scalar field in FLRW space–time: A symmetry analysis
- Generalized Noether theorem for Gauss–Bonnet cosmology
- Conharmonic Curvature Inheritance in Spacetime of General Relativity
- Hilbert Mathematics Versus Gödel Mathematics III- Hilbert Mathematics by Itself, and Gödel Mathematics Versus the Physical World within It: both as Its Particular Cases
- Noether’s currents for conformable fractional scalar field theories
- Lie groups and continuum mechanics: where do we stand today?
- Hilbert mathematics versus Gödel mathematics III. Hilbert mathematics by itself, and Gödel mathematics versus the physical world within it: both as its particular cases
- Hilbert mathematics versus Gödel mathematics III. Hilbert mathematics by itself, and Gödel mathematics versus the physical world within it: both as its particular cases
- Comptes Rendus Mécanique
- Embedding of Space-Time
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