Skip to main content

The Superposition of Null Dust Beam in General Relativity

  • Chapter
Exact Solutions and Scalar Fields in Gravity
  • 235 Accesses

Abstract

In this contribution we consider the gravitational fields arising from the superposition of two null dust beams which propagate in opposite spatial directions. Exact time-independent solutions are given for the interaction region of outgoing and incoming Vaidya solutions and for the non-linear superposition of two cylindrically symmetric pencils of light propagating in the positive and negative axial directions.

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

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover 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. P. C. Vaidya,, Proc. Indian Acad. Sci. A 33 (1951) 264.

    MathSciNet  MATH  ADS  Google Scholar 

  2. W. Kinnersley, Phys. Rev. 186 (1969) 1335.

    Article  MathSciNet  ADS  Google Scholar 

  3. W. B. Bonnor, Commun. Math. Phys. 13 (1969) 163.

    Article  MathSciNet  ADS  Google Scholar 

  4. P.R. Holvorcem, P.S. Letelier, and A. Wang, J. Math. Phys. 36 (1995) 3663.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  5. G. Date, Gen. Rel. Grav 29 (1997) 953.

    Article  MathSciNet  MATH  ADS  Google Scholar 

  6. D. Kramer, Class. Quantum Grav. 15 (1998) L31.

    Article  MATH  ADS  Google Scholar 

  7. D. Kramer, Class. Quantum Grav. 15 (1998) L73.

    Article  MATH  ADS  Google Scholar 

  8. U. v.d.Gönna, and D. Kramer, Gen. Rel. Grav. 31 (1999) 349.

    Article  ADS  MATH  Google Scholar 

  9. U. v.d.Gönna and D. Kramer, Annalen Physik 9 (2000) Spec. Issue Proceedings Journées Relativistes 1999, Weimar) pp. 50.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Kluwer Academic Publishers

About this chapter

Cite this chapter

Kramer, D. (2002). The Superposition of Null Dust Beam in General Relativity. In: Macias, A., Cervantes-Cota, J.L., Lämmerzahl, C. (eds) Exact Solutions and Scalar Fields in Gravity. Springer, Boston, MA. https://doi.org/10.1007/0-306-47115-9_5

Download citation

  • DOI: https://doi.org/10.1007/0-306-47115-9_5

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-0-306-46618-2

  • Online ISBN: 978-0-306-47115-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics