Skip to main content
SpringerLink
Log in

The Shortest Cut in Brane Cosmology

  • Chapter
  • First Online:
Current Trends in Relativistic Astrophysics

Part of the book series: Lecture Notes in Physics ((LNP,volume 617))

  • 464 Accesses

Abstract

We consider brane cosmology studying the shortest null path on the brane for photons, and in the bulk for gravitons. We derive the differential equation for the shortest path in the bulk for a 1+4 cosmological metric. The time cost and the redshifts for photons and gravitons after travelling their respective path are compared. We consider some numerical solutions of the shortest path equation, and show that there is no shortest path in the bulk for the Randall-Sundrum vacuum brane solution, the linear cosmological solution of Binétruy, et. al. for ω = —1,—2/3, and for some expanding brane universes.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
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

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. L. Randall, R. Sundrum: Phys. Rev. Lett. 83, 3370 (1999)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  2. L. Randall, R. Sundrum: Phys. Rev. Lett. 83, 4690 (1999)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  3. J. Garriga, T. Tanaka: Phys. Rev. Lett. 84, 2778 (2000)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  4. R. Gregory, V.A. Rubakov, S.M. Sibiryakov: Phys. Rev. Lett. 84, 5928 (2000)

    Article  ADS  MathSciNet  Google Scholar 

  5. C. Csáki, J. Erlich, T.J. Hollowood: Phys. Rev. Lett. 84, 5932 (2000)

    Article  ADS  MathSciNet  Google Scholar 

  6. N. Arkani-Hamed, S. Dimopoulos, G. Dvali: Phys. Lett. B429, 263 (1998)

    ADS  Google Scholar 

  7. I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos, G. Dvali: Phys. Lett. B436, 257 (1998)

    ADS  Google Scholar 

  8. E. Witten: ‘The Cosmological Constant From the Viewpoint of String Theory’. In: 4th International Symposium on Sources and Detection of Dark Matter and Dark Energy in the Universe (Marina del Rey, California 2000) pp. 27–36 hepth/0002297

    Google Scholar 

  9. P. Binétruy, C. Deffayet, D. Langlois: Nucl. Phys. B565, 269 (2000)

    Article  ADS  Google Scholar 

  10. J.M. Cline, C. Grojean, G. Servant: Phys. Rev. Lett. 83, 4245 (1999)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  11. C. Csáki, M. Graesser, C. Kolda, J. Terning: Phys. Lett. B462, 34 (1999) hepph/9906513.

    ADS  Google Scholar 

  12. S.-H. Henry Tye, I. Wasserman: Phys. Rev. Lett. 86, 1682 (2001)

    Article  ADS  Google Scholar 

  13. D. Langlois: Phys. Rev. Lett. 86, 2212 (2001)

    Article  ADS  Google Scholar 

  14. V. Barger, T. Han, T. Li, J.D. Lykken, D. Marfatia: Phys. Lett. B488, 97 (2000)

    ADS  MathSciNet  Google Scholar 

  15. P. Horava, E. Witten: Nucl. Phys. B460, 506 (1996); B475, 94 (1996)

    Article  ADS  MathSciNet  Google Scholar 

  16. N. Arkani-Hamed, S. Dimopoulos, N. Kaloper, J. March-Russell: Nucl. Phys. B567, 189 (2000) N. Kaloper, A. Linde: Phys. Rev. D60, 103509 (1999) E. Abdalla, L. Alejandro Correa-Borbonet: Phys. Lett. B489, 383 (2000) hepth/0007028

    Article  MathSciNet  ADS  Google Scholar 

  17. S. Nojiri, S.D. Odintsov: JHEP 0007, 049 (2000) hep-th/0006232

    Article  ADS  MathSciNet  Google Scholar 

  18. S. Nojiri, O. Obregon, S.D. Odintsov: hep-th/0105300 (2001)

    Google Scholar 

  19. B. Wang, E. Abdalla, R.-K. Su: Mod. Phys. Lett. A17, 23 (2002) hep-th/0106086

    ADS  MathSciNet  Google Scholar 

  20. C. Csáki, M. Graesser, L. Randall, J. Terning: Phys. Rev. D62, 045015 (2000)

    ADS  Google Scholar 

  21. C. Csáki, J. Erlich, C. Grojean: Nucl. Phys. B604, 312 (2001) hep-th/0012143

    Article  ADS  Google Scholar 

  22. A. Davis, C. Rhodes, I. Vernon: JHEP 0111, 015 (2001)

    Article  ADS  Google Scholar 

  23. H. Ishihara: Phys. Rev. Lett. 86, 381 (2001)

    Article  ADS  MathSciNet  Google Scholar 

  24. R. Caldwell, D. Langlois: gr-qc/0103070 (2001)

    Google Scholar 

  25. P. Binétruy, C. Deffayet, U. Ellwanger, D. Langlois: Phys. Lett. B477, 285 (2000)

    ADS  Google Scholar 

  26. S.S. Feng, C.G. Huang: Int. J. Theor. Phys. 36, 1179 (1997)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Instituto de Fisica, Universidade de Sao Paulo, C.P.66.318, CEP 05315-970, Sao Paulo, Brazil

    Elcio Abdalla & Bertha Cuadros-Melgar

  2. Department of Astronomy and Applied Physics, University of Science and Technology of China, 230026, Hefei, China

    Cze-Shiang Feng

  3. Theory Division, Department of Physics, Fudan University, 200433, Shanghai, P.R. China

    Bin Wang

Authors
  1. Elcio Abdalla
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Bertha Cuadros-Melgar
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Cze-Shiang Feng
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Bin Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. E.T.S.I.Navales, Universidad Politécnica de Madrid, Arco de la Victoria s/n, 28040, Madrid, Spain

    Leonardo Fernández-Jambrina

  2. Fac. Ciencias Físicas, Universidad Compluense de Madrid, Avenida Complutense s/n, 28040, Madrid, Spain

    Luis Manuel González-Romero

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Abdalla, E., Cuadros-Melgar, B., Feng, CS., Wang, B. (2003). The Shortest Cut in Brane Cosmology. In: Fernández-Jambrina, L., González-Romero, L.M. (eds) Current Trends in Relativistic Astrophysics. Lecture Notes in Physics, vol 617. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36973-2_14

Download citation

  • DOI: https://doi.org/10.1007/3-540-36973-2_14

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-01983-1

  • Online ISBN: 978-3-540-36973-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation