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Multisymplectic unified formalism for Einstein-Hilbert Gravity. (arXiv:1705.00569v2 [math-ph] UPDATED)
来源于:arXiv
We present a covariant multisymplectic formulation for the Einstein-Hilbert
model of General Relativity. As it is described by a second-order singular
Lagrangian, this is a gauge field theory with constraints.
The use of the unified Lagrangian-Hamiltonian formalism is particularly
interesting when it is applied to these kinds of theories, since it simplifies
the treatment of them; in particular, the implementation of the constraint
algorithm, the retrieval of the Lagrangian description, and the construction of
the covariant Hamiltonian formalism. In order to apply this algorithm to the
covariant field equations, they must be written in a suitable geometrical way
which consists of using integrable distributions, represented by multivector
fields of a certain type.
We apply all these tools to the Einstein-Hilbert model without and with
energy-matter sources. We obtain and explain the geometrical and physical
meaning of the Lagrangian constraints and we construct the multimomentum
(covari 查看全文>>