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3 votes
1 answer
367 views

Topology and local isometry, spinning cosmic string

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 ...
Bastam Tajik's user avatar
0 votes
1 answer
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Globally hyperbolic spacetimes and future Cauchy developement

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 ...
Ali's user avatar
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10 votes
1 answer
862 views

On the topology induced by a Lorentzian metric

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 ...
Bilateral's user avatar
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