All Questions

Let $(M,g)$ be a time-oriented smooth Lorentzian manifold, with Lorentzian metric $g$. In the following thread: Lorentzian distance induced topology(a.k.a. Interval topology) physicist @ValterMoretti ...

Suppose one is given the spacetime $(M,g)$ where $M$ is a fixed differentiable manifold and $g$ is a Lorentzian metric whose local expression is: $$g= -(dt + a \, d \phi)^2 + d\rho^2 + \kappa^2 \rho^2 ...

Let $(M,g)$ be a globally hyperbolic Lorentzian spacetime with a non-compact Cauchy hypersurface $S \subset M$. Let $ \Omega \Subset S$ be an open subset. Is it true that the future Cauchy development ...