3 papers
gr-qc2026
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…
math-ph2026
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…
math-ph2025
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…