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A theory that describes how matter interacts dynamically with the geometry of space and time. It was first published by Einstein in 1915 and is currently used to study the structure and evolution of the universe, as well as having practical applications like GPS.

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Points erased from the lightcone

Regarding the topological condition of global hyperbolicity, which affirms that the future and the past of two points $p$ and $q$ must have compact closure, when does the lightcone contains points whi …
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1 vote
2 answers
555 views

Noncompact and compact partial Cauchy surface

What is a lay terms explanation for the meaning of compactness and noncompactness of a surface, S or of an horizon? In particular, I don't understand what a noncompact partial Cauchy surface is and wh …
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0 votes
1 answer
56 views

Compactly generated horizons

How are spacetimes which present compactly generated Cauchy horizons different from the ones with compactly generated cronologic horizons? I am comfused because I mix the meanings of compactness of ho …
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  • 291
2 votes
1 answer
2k views

Cauchy horizon and chronology horizon

What is the exact difference between a Cauchy horizon and a chronology horizon? Aren't both frontiers between the events which are caused and the ones that aren't?
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3 votes
1 answer
302 views

Geodesics and CTC

What is the exact explanation for which CTC (closed timelike curves) are not geodesics? I have already looked up in many papers but none provides the exact reason.
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