4 papers
Spectral separation of variables from equivalent Lagrangian systems
Mattia Scomparin
We investigate the dynamical equivalence of quadratic Lagrangians and its relation to separation of variables. We show that requiring two quadratic Lagrangians to generate the same…
Cosmic structures in Ricci-inverse theories of gravity
Mattia Scomparin
We discuss a no-go theorem for the novel Ricci-inverse theory of modified gravity. By considering a static spherically symmetric matter distribution embedded within a de Sitter cos…
Circumventing the Ricci-inverse no-go theorem with complexifiable singularities: a novel dark energy model
Mattia Scomparin
Ricci-inverse gravity is a new type of fourth-order gravity theory based on the anti-curvature tensor, that is, the inverse of the Ricci tensor. In this context, we introduce a nov…
A new class of separable Lagrangian systems generalizing Sawada-Kotera
Gianluca Gorni, Mattia Scomparin, Gaetano Zampieri
Some characteristics of the Sawada-Kotera Lagrangian system lend themselves to generalization, producing a large class of separable Lagrangian systems with two degrees of freedom.