11 citations · 70 across the 15 of their papers we have counts for
15 papers
Locally Extremal Timelike Geodesic Loops on Lorentzian Manifolds
Ivan P. Costa e Silva, José L. Flores, Kledilson P. R. Honorato
Conditions for the existence of closed geodesics is a classic, much-studied subject in Riemannian geometry, with many beautiful results and powerful techniques. However, many of th…
Path-lifting properties of the exponential map with applications to geodesics
Ivan P. Costa e Silva, José L. Flores, Kledilson P. R. Honorato
We revisit certain path-lifting and path-continuation properties of abstract maps as described in the work of F. Browder and R. Rheindboldt in 1950-1960s, and apply their elegant t…
Hausdorff closed limits and the causal boundary of globally hyperbolic spacetimes with timelike boundary
Ivan P. Costa e Silva, José Luis Flores, Jónatan Herrera
We show that when a spacetime is globally hyperbolic with (possibly empty) smooth timelike boundary , a metrizable topology, the close…
Rigidity of geodesic completeness in the Brinkmann class of gravitational wave spacetimes
Ivan P. Costa e Silva, Jose Luis Flores, Jonatan Herrera
We consider restrictions placed by geodesic completeness on spacetimes possessing a null parallel vector field, the so-called Brinkmann spacetimes. This class of spacetimes include…
Lightlike sets with applications to the rigidity of null geodesic incompleteness
I. P. Costa e Silva, J. L. Flores
An important, if relatively less well known aspect of the singularity theorems in Lorentzian Geometry is to understand how their conclusions fare upon weakening or suppression of o…
Quantum Physics and Fluctuating Topologies: Survey
M. Asorey, A. P. Balachandran, G. Marmo +4
The spin-statistics connection, quantum gravity and other physical considerations suggest that classical space-time topology is not an immutable attribute and can change in quantum…