179 citations · 826 across the 31 of their papers we have counts for
31 papers
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…
A simultaneous variational principle for elementary excitations of fluid lipid membranes
Riccardo Capovilla
A simultaneous variational principle is introduced that offers a novel avenue to the description of the equilibrium configurations, and at the same time of the elementary excitatio…
Elastic bending energy: a variational approach
Riccardo Capovilla
Geometric continuum models for fluid lipid membranes are considered using classical field theory, within a covariant variational approach. The approach is cast as a higher-derivati…