Zobrazeno 1 - 10
of 64
pro vyhledávání: '"Capovilla, Riccardo"'
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 by a space-like brane in its evolution, seen as a manifold embedded in
Externí odkaz:
http://arxiv.org/abs/2202.13035
The treatment of higher order perturbations of branes is considered using a covariant variational approach. This covariant variational approach brings to the forefront the geometric structure of the underlying perturbation theory, as opposed to a mor
Externí odkaz:
http://arxiv.org/abs/2110.14894
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 a second-order derivative theory, based on the extrinsic geometric str
Externí odkaz:
http://arxiv.org/abs/2110.14567
Autor:
Capovilla, Riccardo, Cruz, Giovany
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 embedding functions, through the canonical momentum of a reparametrization in
Externí odkaz:
http://arxiv.org/abs/1908.00136
Autor:
Capovilla, Riccardo
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 excitations, or undulations, of fluid lipid membranes, described by a geometric
Externí odkaz:
http://arxiv.org/abs/1801.02985
Autor:
Capovilla, Riccardo
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-derivative Lagrangian formulation of continuum classical field theory, and it
Externí odkaz:
http://arxiv.org/abs/1709.04399
Publikováno v:
Class.Quant.Grav.27:145011,2010
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 different from other possible generalizations of GR in terms of metric variab
Externí odkaz:
http://arxiv.org/abs/1004.3324
Publikováno v:
Gen. Relat. Grav., s10714-006-0258-5 (2006)
We consider the Frenet-Serret geometry of null curves in a three and a four-dimensional Minkowski background. We develop a theory of deformations adapted to the Frenet-Serret frame. We exploit it to provide a Lagrangian description of the dynamics of
Externí odkaz:
http://arxiv.org/abs/math-ph/0702042
Autor:
Capovilla, Riccardo, Guven, Jemal
Publikováno v:
Gen.Rel.Grav.39:1135-1141,2007
A surface of codimension higher than one embedded in an ambient space possesses a connection associated with the rotational freedom of its normal vector fields. We examine the Yang-Mills functional associated with this connection. The theory it defin
Externí odkaz:
http://arxiv.org/abs/hep-th/0611146
Publikováno v:
Int.J.Theor.Phys.48:2486-2498,2009
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 proportional to the integral of the scalar curvature of the worldvolume spa
Externí odkaz:
http://arxiv.org/abs/gr-qc/0603126