Authors apply multisymplectic and polysymplectic formalisms to the known Palatini-Cartan model, recovering torsion-free and Einstein equations, constructing momentum maps and Noether currents, and performing a space-time decomposition into instantaneous Hamiltonian form.
Symmetries in Classical Field Theory
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abstract
The multisymplectic description of Classical Field Theories is revisited, including its relation with the presymplectic formalism on the space of Cauchy data. Both descriptions allow us to give a complete scheme of classification of infinitesimal symmetries, and to obtain the corresponding conservation laws.
fields
gr-qc 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Geometric formulation for Palatini-Cartan gravity
Authors apply multisymplectic and polysymplectic formalisms to the known Palatini-Cartan model, recovering torsion-free and Einstein equations, constructing momentum maps and Noether currents, and performing a space-time decomposition into instantaneous Hamiltonian form.