6 papers
Towards a Connection Formulation of Action-Dependent Palatini Gravity
Callum Bell, David Sloan
Previous work has shown that first-order Palatini gravity may be cast as a non-conservative Herglotz Lagrangian field theory, which excludes the conformal mode from its space of dy…
Classical General Relativity as a Non-Conservative Action-Dependent Field Theory
Callum Bell, David Sloan
Previous work has provided the mathematical framework within which to analyse dynamical similarities for classical theories of fields. This formalism has been extended to those the…
Constrained Symplectic and Contact Hamiltonian Systems: A Review
Callum Bell, David Sloan
Singular theories, characterised by the presence of degeneracies in their Lagrangian or Hamiltonian descriptions, require the systematic implementation of constraints in order to o…
Gauge Symmetries, Contact Reduction, and Singular Field Theories
Callum Bell, David Sloan
The symmetry reduction of dynamical systems that are invariant under changes of global scale is well-understood for classical theories of particles, and fields. The excision of the…
Dynamical Similarity in Multisymplectic Field Theory
Callum Bell, David Sloan
Symmetry under a particular class of non-strictly canonical transformation may be used to identify, and subsequently excise degrees of freedom which do not contribute to the closur…
Dynamical Similarity in Higher-Order Classical Symplectic Systems
Callum Bell, David Sloan
Many theories of physical interest, which admit a Hamiltonian description, exhibit symmetries under a particular class of non - strictly canonical transformation, known as dynamica…