5 citations · 9 across the 5 of their papers we have counts for
13 papers
Natural vs. Artificial Topologies on a Relativistic Spacetime
Kyriakos Papadopoulos
Consider a set equipped with a structure . We call a natural topology , on , the topology induced by . For example, a natural topology for a metric space $(X,…
On Completeness of the Alexandrov Topology on a Spacetime: remarks and some corrections
Kyriakos Papadopoulos, Nazli Kurt
We clarify and discuss a misunderstanding between uniform completeness and metric completeness, that has appeared in the literature in a study on the Alexandrov topology for a spac…
On a duality between time and space cones
Waleed Al-Qallaf, Kyriakos Papadopoulos
We give an exact mathematical construction of a spacelike order , which is dual to the standard chronological order in the -dimensional Minkowski space , and we di…
On null geodesically complete spacetimes uder NEC and NGC; is the Gao-Wald "time dilation" a topological effect?
Kyriakos Papadopoulos
We review a theorem of Gao-Wald on a kind of a gravitational "time delay" effect in null geodesically complete spacetimes under NEC and NGC, and we observe that it is not valid any…
On sliced spaces: Global Hyperbolicity revisited
Kyriakos Papadopoulos, Nazli Kurt, Basil K. Papadopoulos
We give a topological condition for a generic sliced space to be globally hyperbolic, without any hypothesis on the lapse function, shift function and spatial metric.
Are four dimensions enough, a note on ambient cosmology
Kyriakos Papadopoulos, Nazli Kurt, Basil K. Papadopoulos
The group of homothetic symmetries in the conformal infinity (the -dimensional "ambient boundary") of a -dimensional spacetime restricts the choice of topology to a topology…