34 citations · 113 across the 10 of their papers we have counts for
11 papers
Extremal curves of Perlick's proper time in Weyl geometry
E. Rodrigues, F. Dahia, I. P. Lobo +1
We investigate the extremization of Perlick's proper time in non-integrable Weyl geometry. We derive the corresponding generalized Euler--Lagrange equations and show that the resul…
On the Cauchy Problem for Weyl-Geometric Scalar-Tensor Theories of Gravity
R. Avalos, I. P. Lobo, T. Sanomiya +1
In this paper, we analyse the well-posedness of the initial value formulation for particular kinds of geometric scalar-tensor theories of gravity, which are based on a Weyl integra…
On the proof of the Thin Sandwich Conjecture in arbitrary dimensions
R. Avalos, F. Dahia, C. Romero +1
In this paper we show the validity, under certain geometric conditions, of Wheeler's thin sandwich conjecture for higher dimensional theories of gravity. We extend the results show…
On the embedding of Weyl manifolds
R. Avalos, F. Dahia, C. Romero
We discuss the possibility of extending different versions of the Campbell-Magaard theorem, which have already been established in the context of semi-Riemannian geometry, to the c…
A note on the problem of proper time in Weyl space-time
R. Avalos, F. Dahia, C. Romero
We discuss the question of whether or not a general Weyl structure is a suitable mathematical model of space-time. This is an issue that has been in debate since Weyl formulated hi…
Fermion confinement induced by geometry
C. Romero, J. B. Formiga, C. Dariescu
We consider a five-dimensional model in which fermions are confined in a hypersurface due to an interaction with a purely geometric field. Inspired by the Rubakov-Shaposhnikov fiel…