Zobrazeno 1 - 10
of 29
pro vyhledávání: '"Scomparin, Mattia"'
Autor:
Scomparin, Mattia
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 novel method to circumvent the binding effects of a well-known no-go theo
Externí odkaz:
http://arxiv.org/abs/2409.16529
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.
Externí odkaz:
http://arxiv.org/abs/2404.09612
Autor:
Scomparin, Mattia
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 to find well-conceived nonlocal constants that are conserved along sol
Externí odkaz:
http://arxiv.org/abs/2305.00701
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 easily implemented in the well established Python programming framework,
Externí odkaz:
http://arxiv.org/abs/2210.00007
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 Relativity and other gravitational theories. We highlight the way in
Externí odkaz:
http://arxiv.org/abs/2210.00005
Autor:
Scomparin, Mattia
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 integrals in classical mechanics and, in this respect, a new approach to get n
Externí odkaz:
http://arxiv.org/abs/2208.04442
Autor:
Scomparin, Mattia
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 of the Painleve-Gambier classification.
Comment: 12 pages, 0 fig
Comment: 12 pages, 0 fig
Externí odkaz:
http://arxiv.org/abs/2203.12219
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 mechanical systems, from which we can deduce global existence and estimates o
Externí odkaz:
http://arxiv.org/abs/2104.14793
Autor:
Scomparin, Mattia
We discuss a no-go theorem for the novel Ricci-inverse theory of gravity. Referring to a static spherically symmetric matter distribution embedded in a de Sitter cosmology, we prove that it is impossible to have a stable Sub-Horizon non-relativistic
Externí odkaz:
http://arxiv.org/abs/2102.04676
Publikováno v:
In Computer Physics Communications August 2023 289