Skip to main content
Log in

Spacetime Embedding Diagrams for Black Holes

  • Published:
General Relativity and Gravitation Aims and scope Submit manuscript

Abstract

We show that the 1 + 1 dimensional reduction(i.e., the radial plane) of the Kruskal black hole canbe embedded in 2 + 1 Minkowski spacetime and discuss howfeatures of this spacetime can be seen from theembedding diagram. The purpose of this work iseducational: The associated embedding diagrams may beuseful for explaining aspects of black holes to studentswho are familiar with special relativity, but notgeneral relativity.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

REFERENCES

  1. Misner, C. W., Thorne, K. S., and Wheeler, J. A. (1973). Gravitation (W. H. Freeman, San Francisco).

    Google Scholar 

  2. Taylor, E. F., and Wheeler, J. A. (1996). Spacetime Physics (W. H. Freeman, San Francisco).

    Google Scholar 

  3. Geroch, R. (1978). General Relativity from A to B (University of Chicago Press, Chicago).

    Google Scholar 

  4. Mook, D., and Vargish, T. (1987). Inside Relativity (Princeton University Press, Princeton).

    Google Scholar 

  5. Kauffman, W. (1971). The Cosmic Frontiers of General Relativity (Little, Brown, Boston).

    Google Scholar 

  6. Wald, R. M. (1984). General Relativity (University of Chicago Press, Chicago).

    Google Scholar 

  7. Berger, B., Chitre, D. M., Moncrief, V. E., and Nutku, Y. (1972). Phys. Rev. D5, 2467; Unruh, W. (1972). Phys. Rev. D14, 2467.

    Google Scholar 

  8. Callan, C., Giddings, S., Harvey, J., and Strominger, A. (1992). Phys. Rev. D45, 1005, hep-th/ 9111056.

    Google Scholar 

  9. Giddings, S., and Strominger, A. (1993). Phys. Rev. D47, 2454, hep-th/ 9207034.

    Google Scholar 

  10. Spivak, M. (1979). A Comprehensive Introduction to Differential Geometry (Publish or Perish, Berkeley), Vol. 2.

    Google Scholar 

  11. Jackson, J. D. Classical Electrodynamics (John Wiley & Sons, New York).

Download references

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Marolf, D. Spacetime Embedding Diagrams for Black Holes. General Relativity and Gravitation 31, 919–944 (1999). https://doi.org/10.1023/A:1026646507201

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1026646507201

Navigation