Classical general relativity is recast as a non-conservative action-dependent field theory by formulating its Hilbert action in terms of conformal spacetime geometry supplemented by a dissipative sector.
New multisymplectic approach to the metric-affine (einstein-palatini) action for gravity
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Scale symmetry reduction applied to singular Lagrangians via De-Donder-Weyl formalism yields equivalent frictional dynamics for particles and fields, with applications to general relativity.
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Classical General Relativity as a Non-Conservative Action-Dependent Field Theory
Classical general relativity is recast as a non-conservative action-dependent field theory by formulating its Hilbert action in terms of conformal spacetime geometry supplemented by a dissipative sector.
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Gauge Symmetries, Contact Reduction, and Singular Field Theories
Scale symmetry reduction applied to singular Lagrangians via De-Donder-Weyl formalism yields equivalent frictional dynamics for particles and fields, with applications to general relativity.