65 citations · 302 across the 19 of their papers we have counts for
20 papers
Symmetries, conservation and dissipation in time-dependent contact systems
Jordi Gaset, Asier López-Gordón, Xavier Rivas
In contact Hamiltonian systems, the so-called dissipated quantities are akin to conserved quantities in classical Hamiltonian systems. In this paper, we prove a Noether's theorem f…
The Herglotz variational principle for dissipative field theories
Jordi Gaset, Manuel Lainz, Arnau Mas +1
In the recent years, with the incorporation of contact geometry, there has been a renewed interest in the study of dissipative or non-conservative systems in physics and other area…
Multicontact formulation for non-conservative field theories
Manuel de León, Jordi Gaset, Miguel Carlos Muñoz-Lecanda +2
A new geometric framework is developed to describe non-conservative classical field theories, which is based on multisymplectic and contact geometries. Assuming certain additional…
A variational derivation of the field equations of an action-dependent Einstein-Hilbert Lagrangian
Jordi Gaset, Arnau Mas
We derive the equations of motion of an action-dependent version of the Einstein-Hilbert Lagrangian, as a specific instance of the Herglotz variational problem. Action-dependent La…
Time-dependent contact mechanics
Manuel de León, Jordi Gaset, Xavier Gràcia +2
Contact geometry allows to describe some thermodynamic and dissipative systems. In this paper we introduce a new geometric structure in order to describe time-dependent contact sys…
Inverse problem and equivalent contact systems
Manuel de León, Jordi Gaset, Manuel Lainz Valcázar
We present several results on the inverse problem and equivalent contactLagrangian systems. These problems naturally lead to consider smooth transformations on the z variable (i.e.…
Symmetries and gauge symmetries in multisymplectic first and second-order Lagrangian field theories: electromagnetic and gravitational fields
Jordi Gaset, Narciso Román-Roy
Symmetries and, in particular, Cartan (Noether) symmetries and conserved quantities (conservation laws) are studied for the multisymplectic formulation of first and second order La…
The second-order problem for -presymplectic Lagrangian field theories. Application to the Einstein--Palatini model
David Adame-Carrillo, Jordi Gaset, Narciso Román-Roy
In general, the system of nd-order partial differential equations made of the Euler-Lagrange equations of classical field theories are not compatible for singular Lagrangians. T…
Higher-order contact mechanics
Manuel de León, Jordi Gaset, Manuel Laínz +2
We present a complete theory of higher-order autonomous contact mechanics, which allows us to describe higher-order dynamical systems with dissipation. The essential tools for the…
A contact geometry approach to symmetries in systems with dissipation
Jordi Gaset
Systems with dissipation can be described using contact geometry. We introduce the concepts of symmetries and dissipation laws for contact Hamiltonian systems and study the relatio…
Unified Lagrangian-Hamiltonian formalism for contact systems
Manuel de León, Jordi Gaset, Manuel Laínz +2
We present a unified geometric framework for describing both the Lagrangian and Hamiltonian formalisms of contact autonomous mechanical systems, which is based on the approach of t…
A -contact Lagrangian formulation for nonconservative field theories
Jordi Gaset, Xavier Gràcia, Miguel C. Muñoz-Lecanda +2
We present a geometric Lagrangian formulation for first-order field theories with dissipation. This formulation is based on the -contact geometry introduced in a previous paper,…
Multisymplectic formulation of Lagrangian models in gravitation
Jordi Gaset, Narciso Román-Roy
We apply the multisymplectic formulation of classical field theories [11, 12, 14] to describe the Einstein-Hilbert and the Einstein-Palatini (or metric-affine) Lagrangian models of…
Griffiths Variational Multisymplectic Formulation for Lovelock Gravity
Santiago Capriotti, Jordi Gaset, Narciso Román-Roy +1
This work is mainly devoted to constructing a multisymplectic description of Lovelock's gravity, which is an extension of General Relativity. We establish a Griffiths variational p…
New contributions to the Hamiltonian and Lagrangian contact formalisms for dissipative mechanical systems and their symmetries
Jordi Gaset, Xavier Gràcia, Miguel C. Muñoz-Lecanda +2
We provide new insights into the contact Hamiltonian and Lagrangian formulations of dissipative mechanical systems. In particular, we state a new form of the contact dynamical equa…
A contact geometry framework for field theories with dissipation
Jordi Gaset, Xavier Gràcia, Miguel C. Muñoz-Lecanda +2
We develop a new geometric framework suitable for dealing with Hamiltonian field theories with dissipation. To this end we define the notions of -contact structure and -conta…
New multisymplectic approach to the Metric-Affine (Einstein-Palatini) action for gravity
Jordi Gaset, Narciso Román-Roy
We present a covariant multisymplectic formulation for the Einstein-Palatini (or Metric-Affine) model of General Relativity (without energy-matter sources). As it is described by a…
Multisymplectic unified formalism for Einstein-Hilbert Gravity
Jordi Gaset, Narciso Román-Roy
We present a covariant multisymplectic formulation for the Einstein-Hilbert model of General Relativity. As it is described by a second-order singular Lagrangian, this is a gauge f…
Variational principles and symmetries on fibered multisymplectic manifolds
Jordi Gaset, Pedro D. Prieto-Martínez, Narciso Román-Roy
The standard techniques of variational calculus are geometrically stated in the ambient of fiber bundles endowed with a (pre)multisymplectic structure. Then, for the corresponding…
Order reduction, projectability and constraints of second-order field theories and higher-order mechanics
Jordi Gaset, Narciso Román-Roy
The projectability of Poincaré-Cartan forms in a third-order jet bundle onto a lower-order jet bundle is a consequence of the degenerate character of the corresponding Lagra…