20 citations · 26 across the 11 of their papers we have counts for
12 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…
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.
First integrals of nonlinear differential equations from nonlocal constants
Mattia Scomparin
A new method to find first integrals of nonlinear differential equations in Jacobi-type form is presented. The basic idea of our approach is to use one-parameter perturbed motions…
Cadabra and Python algorithms in General Relativity and Cosmology II: Gravitational Waves
Oscar Castillo-Felisola, Dominic T. Price, Mattia Scomparin
Computer Algebra Systems (CASs) like Cadabra Software play a prominent role in a wide range of research activities in physics and related fields. We show how Cadabra language is ea…
Cadabra and Python algorithms in General Relativity and Cosmology I: Generalities
Oscar Castillo-Felisola, Dominic T. Price, Mattia Scomparin
The aim of this work is to present a series of concrete examples which illustrate how the computer algebra system Cadabra can be used to manipulate expressions appearing in General…
Conserved currents from nonlocal constants in relativistic scalar field theories
Mattia Scomparin
Nonlocal constants are functions that are constant along motion but whose value depends on the past history of the motion itself. They are a powerful tool to provide first integral…
New nonlocal constants and first integrals for nonlinear Jacobi-type equations
Mattia Scomparin
We prove a set of general theorems that provide new nonlocal constants and first integrals for nonlinear Jacobi-type ordinary differential equations. Applications include equations…
Nonlocal constants of motion in Lagrangian Dynamics of any order
Gianluca Gorni, Mattia Scomparin, Gaetano Zampieri
We describe a recipe to generate "nonlocal" constants of motion for ODE Lagrangian systems. As a sample application, we recall a nonlocal constant of motion for dissipative mechani…
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…
Damping of cosmological tensor modes in Horndeski theories after GW170817
Mattia Scomparin, Simone Vazzoler
This paper investigates the propagation of cosmological gravitational waves interacting with free-streaming neutrinos within the context of Horndeski theories of gravity constraine…
Cosmic structures and gravitational waves in ghost-free scalar-tensor theories of gravity
Nicola Bartolo, Purnendu Karmakar, Sabino Matarrese +1
We study cosmic structures in the quadratic Degenerate Higher Order Scalar Tensor (qDHOST) model, which has been proposed as the most general scalar-tensor theory (up to quadratic…