179 citations · 826 across the 31 of their papers we have counts for
8 papers · 1 filter
Jacobi equations of geodetic brane gravity
Riccardo Capovilla, Giovany Cruz, Efraín Rojas
We consider brane gravity as described by the Regge-Teitelboim geometric model, in any codimension. In brane gravity our spacetime is modeled as the time-like world volume spanned…
Ostrogradsky-Hamilton approach to geodetic brane gravity
Riccardo Capovilla, Giovany Cruz, Efraín Rojas
We develop the Ostrogradsky-Hamilton formalism for geodetic brane gravity, described by the Regge-Teitelboim geometric model in higher codimension. We treat this gravity theory as…
Covariant higher order perturbations of branes in curved spacetime
Riccardo Capovilla, Giovany Cruz, Edgar Yair López
The treatment of higher order perturbations of branes is considered using a covariant variational approach. This covariant variational approach brings to the forefront the geometri…
A covariant simultaneous action for branes
Riccardo Capovilla, Giovany Cruz
A covariant simultaneous action for branes in an arbitrary curved background spacetime is considered. The action depends on a pair of independent field variables, the brane embeddi…
Hamiltonian dynamics of extended objects
Riccardo Capovilla, Jemal Guven, Efrain Rojas
We consider a relativistic extended object described by a reparametrization invariant local action that depends on the extrinsic curvature of the worldvolume swept out by the objec…
Hamiltonian Frenet-Serret dynamics
Riccardo Capovilla, Jemal Guven, Efrain Rojas
The Hamiltonian formulation of the dynamics of a relativistic particle described by a higher-derivative action that depends both on the first and the second Frenet-Serret curvature…
ADM Worldvolume Geometry
Riccardo Capovilla, Jemal Guven, Efrain Rojas
We describe the dynamics of a relativistic extended object in terms of the geometry of a configuration of constant time. This involves an adaptation of the ADM formulation of canon…
Noether Currents for Bosonic Branes
Guillermo Arreaga, Riccardo Capovilla, Jemal Guven
We consider a relativistic brane propagating in Minkowski spacetime described by any action which is local in its worldvolume geometry. We examine the conservation laws associated…