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Spacetime Embedding Diagrams for Black Holes

1998/06/30 by Donald Marolf · 4 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black hole (networking) #Causal sets #Computer science #Embedding #Experimental and Theoretical Physics Studies #General relativity #Mathematical physics #Minkowski space #Physics #Quantum field theory in curved spacetime #Quantum gravity #Quantum mechanics #Relativity and Gravitational Theory #Spacetime #Spacetime topology #Special relativity #Theoretical physics #Theory of relativity #World line #gr-qc

paper · pdf · doi:10.1023/a:1026646507201

published as Gen.Rel.Grav. 31 (1999) 919-944 · 22 pages, 21 figures, RevTex. To be submitted to the American Journal of Physics. Experts will wish only to skim appendix A and to look at the pictures. Suggested Maple code is now compatible with MapleV4r5

arxiv created 1998/07/08 · openalex publication_date 1999/06/01 · arxiv updated 2015/06/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We show that the 1+1 dimensional reduction (i.e., the radial plane) of the Kruskal black hole can be embedded in 2+1 Minkowski spacetime and discuss how features of this spacetime can be seen from the embedding diagram. The purpose of this work is educational: The associated embedding diagrams may be useful for explaining aspects of black holes to students who are familiar with special relativity, but not general relativity.

Citations

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