27 citations · 114 across the 28 of their papers we have counts for
6 papers · 1 filter
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 the Causal and Topological Structure of the -Dimensional Minkowski Space
Kyriakos Papadopoulos, Nazli Kurt, Basil K. Papadopoulos
A list of all possible causal relations in the -dimensional Minkowski space is exhausted, based on the duality between timelike and spacelike in this particular case, and th…
Spacetimes as topological spaces, and the need to take methods of general topology more seriously
Kyriakos Papadopoulos, Fabio Scardigli
Why is the manifold topology in a spacetime taken for granted? Why do we prefer to use Riemann open balls as basic-open sets, while there also exists a Lorentz metric? Which topolo…
Spacetime Singularities vs. Topologies of Zeeman-Göbel Class
Kyriakos Papadopoulos, Basil K. Papadopoulos
In this article we first observe that the Path topology of Hawking, King and MacCarthy is an analogue, in curved spacetimes, of a topology that was suggested by Zeeman as an altern…
The Order on the Light Cone and its induced Topology
Kyriakos Papadopoulos, Santanu Acharjee, Basil K. Papadopoulos
In this article we first correct a recent misconception about a topology that was suggested by Zeeman as a possible alternative to his Fine topology. This misconception appeared wh…
On Two Topologies that were suggested by Zeeman
Kyriakos Papadopoulos, Basil K. Papadopoulos
The class of Zeeman topologies on spacetimes in the frame of relativity theory is considered to be of powerful intuitive justification, satisfying a sequence of properties with phy…