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Does spacetime in general relativity contain holes?

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Are there physical models of spacetimes, which have bounded (four dimensional) holes in them? And do the Einstein equations give restrictions to such phenomena? Here by holes I mean constructions

Source: Does spacetime in general relativity contain holes?

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Born in 1964, business owner, from Woodbridge, VA, owns ExcitingAds! Inc. (http://www.excitingads.com) and blog (https://search.excitingads.com). He was born in Mirpurkhas, Sind, Pakistan. His elementary school was ST. Michael's Convent High School, Mirpurkhas, Sind, Pakistan. Graduated high school from ST. Bonaventure's Convent High School, Hyderabad, Sind, Pakistan. His pre-med college was S. A. L. Govt. College, Mirpurkas, Sind, Pakistan. Graduated from Liaquat University of Medical and Health Sciences, Jamshoro, Sind, Pakistan in 1990. Earned equivalency certification from Educational Commission for Foreign Medical Graduates, Philadelphia, PA in 1994.

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