Skip to main content

The Final State of an Evaporating Black Hole and the Dimensionality of the Space-Time

  • Chapter
Quantum Mechanics in Curved Space-Time

Part of the book series: NATO ASI Series ((NSSB,volume 230))

Abstract

One of the main paradoxes of the contemporary physics of elementary particles is the apparent incompatibility of two main theoretical foundations: on the one hand the theory of general relativity which connects the force of gravity to the structure of space-time, on the other hand the theory of quantum mechanics. General relativity has been developed mainly to understand phenomena on a cosmic scale and the evolution of universe, while quantum mechanics regards mainly the atomic, subatomic and subnuclear world; this latter theory has been formulated for three of the four forces of nature, namely the strong, weak and electromagnetic interactions. In recent times unification of electromagnetic and weak interactions has been reached through gauge theories and one can try to include also strong interactions.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 59.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 79.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. W. Hawking — Nature (London) 246, 30 (1974)

    Article  ADS  Google Scholar 

  2. N. Birrel and P. Davis — “Quantum fields in curved space” CUP, 1932

    Google Scholar 

  3. V. de Sabbata, C. Sivaram and D. Wang — to appear in Annalen der Physik, 1989

    Google Scholar 

  4. B. Carr — Ap.J. 201, 1 (1975) and 206, 8 (1986)

    Google Scholar 

  5. C. Sivaram and K. Sinha — Physics Reports 51, 111 (1979)

    Article  MathSciNet  ADS  Google Scholar 

  6. T. Yoneya — Progr. Theor.Phys. 51, 1907 (1974)

    Article  ADS  Google Scholar 

  7. C. Sivaram — Nature 327, 108 (1987)

    Article  ADS  Google Scholar 

  8. V. de Sabbata and C. Sivaram — Nuovo Cimento 100A, 919 (1989)

    ADS  Google Scholar 

  9. C. Sivaram — Am.J. Phys. 51, 277 (1983)

    Article  ADS  Google Scholar 

  10. V. de Sabbata and P. Rizzati — Lett. Nuovo Cimento 20, 525 (1977)

    Article  ADS  Google Scholar 

  11. M. Eowick et al. — GRG 19, 113 (1937)

    Google Scholar 

  12. C. Sivaram paper presented at Goa ICGRC, 1937

    Google Scholar 

  13. V. de Sabbata — Proc.Einstein Found. Int. 4, 31 (1987)

    Google Scholar 

  14. S G. Arcidiacono — “Oltre la quarta dimensione” ed.il Fuoco, Roma, 1984

    Google Scholar 

  15. S. Shapiro and S. Teukolsky — “Black holes, white dwarfs and neutron stars” Freeman Comp. 1962

    Google Scholar 

  16. G. t’Hooft — Utrecht preprint, 1987

    Google Scholar 

  17. C.O. Lousto and N. Sanchez — Phys.Letters B212, 411 (1983)

    ADS  Google Scholar 

  18. R.D. Carlitz and R.S. Willey — Phys.Rev. D36, 2336 (1987)

    MathSciNet  ADS  Google Scholar 

  19. C. Sivaram — Gravity Research Found.Essay, 1988

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1990 Springer Science+Business Media New York

About this chapter

Cite this chapter

de Sabbata, V., Sivaram, C. (1990). The Final State of an Evaporating Black Hole and the Dimensionality of the Space-Time. In: Audretsch, J., de Sabbata, V. (eds) Quantum Mechanics in Curved Space-Time. NATO ASI Series, vol 230. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3814-1_16

Download citation

  • DOI: https://doi.org/10.1007/978-1-4615-3814-1_16

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-6701-7

  • Online ISBN: 978-1-4615-3814-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics