15 citations · 38 across the 7 of their papers we have counts for
8 papers
Lorentzian-Euclidean black holes and Lorentzian to Riemannian metric transitions
Rossella Bartolo, Erasmo Caponio, Anna Valeria Germinario +1
In recent papers on spacetimes with a signature-changing metric, the concept of a Lorentzian-Euclidean black hole and new elements for Lorentzian-Riemannian signature change have b…
Complete translating solitons in Lorentzian products
Leonor Ferrer, Francisco Martín, Miguel Sánchez
Obstructions to the existence of spacelike solitons depending on the growth of the mean curvature are proved for Lorentzian products wit…
Second-order symmetric Lorentzian manifolds II: structure and global properties
O F Blanco, M Sánchez, J M M Senovilla
We give a summary of recent results on the explicit local form of the second-order symmetric Lorentzian manifolds in arbitrary dimension, and its global version. These spacetimes t…
Structure of second-order symmetric Lorentzian manifolds
O F Blanco, M Sánchez, J M M Senovilla
Second-order symmetric Lorentzian spaces, that is to say, Lorentzian manifolds with vanishing second derivative of the curvature tensor R, are characterized by several geometric pr…
A note on the uniqueness of global static decompositions
Miguel Sánchez, José M. M. Senovilla
We discuss when static Killing vector fields are standard, that is, leading to a global orthogonal splitting of the spacetime. We prove that such an orthogonal splitting is unique…
Global hyperbolicity and Palais-Smale condition for action functionals in stationary spacetimes
Anna Maria Candela, Jose' Luis Flores, Miguel Sanchez
In order to apply variational methods to the action functional for geodesics of a stationary spacetime, some hypotheses, useful to obtain classical Palais-Smale condition, are comm…