179 citations · 826 across the 31 of their papers we have counts for
7 papers · 1 filter
Minimally modified self-dual 2-forms gravity
Riccardo Capovilla, Merced Montesinos, Mercedes Velazquez
The first order Plebanski formulation of (complex) general relativity (GR) in terms of self-dual 2-forms admits a generalization, proposed by Krasnov, that is qualitatively differe…
Hamiltonian dynamics of extended objects: Regge-Teitelboim model
Riccardo Capovilla, Alberto Escalante, Jemal Guven +1
We consider the Regge-Teitelboim model for a relativistic extended object embedded in a fixed background Minkowski spacetime, in which the dynamics is determined by an action propo…
Large Deformations of Relativistic Membranes: A Generalization of the Raychaudhuri Equations
Riccardo Capovilla, Jemal Guven
A coupled system of non-linear partial differential equations is presented which describes non-perturbatively the evolution of deformations of a relativistic membrane of arbitrary…
Geometry of Deformations of Relativistic Membranes
Riccardo Capovilla, Jemal Guven
A kinematical description of infinitesimal deformations of the worldsheet spanned in spacetime by a relativistic membrane is presented. This provides a framework for obtaining both…
Super-Minisuperspace and New Variables
Riccardo Capovilla, Jemal Guven
We consider the specialization to spatially homogenous solutions of the Jacobson formulation of N=1 canonical supergravity in terms of Ashtekar's new variables. We find that the cl…
The Initial Value Problem in Light of Ashtekar's Variables
R. Capovilla, J. Dell, T. Jacobson
The form of the initial value constraints in Ashtekar's hamiltonian formulation of general relativity is recalled, and the problem of solving them is compared with that in the trad…
Remarks on Pure Spin Connection Formulations of Gravity
Riccardo Capovilla, Ted Jacobson
In the derivation of a pure spin connection action functional for gravity two methods have been proposed. The first starts from a first order lagrangian formulation, the second fro…