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.
A Poisson Bracket on Multisymplectic Phase Space
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abstract
A new Poisson bracket for Hamiltonian forms on the full multisymplectic phase space is defined. At least for forms of degree n-1, where n is the dimension of space-time, Jacobi's identity is fulfilled.
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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.