Skip to main content
SpringerLink
Log in

Non-integrability and Mach’s principle in induced matter theory

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

Abstract

The geodesic equation in induced matter theory is redefined. It is shown that the extra forces do not change the four-impulse of massive particles. We show that the 4D space-time is non-integrable and find the relation between non-integrability and the Mach’s principal.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Einstein A. and Infeld L. (1938). The Evolution of Physics. Simon and Schuster, New York, 257

    Google Scholar 

  2. Einstein A. (1953). The Meaning of Relativity, 4th edn. Princeton University Press, Princeton, 133

    Google Scholar 

  3. Callaway J. (1954). Phys. Rev. 96: 778

    Article  MATH  ADS  MathSciNet  Google Scholar 

  4. Maia M.D. (1985). Phys. Rev. D 31: 262

    Article  ADS  MathSciNet  Google Scholar 

  5. Joseph D.W. (1962). Phys. Rev. 126: 319

    Article  MATH  ADS  MathSciNet  Google Scholar 

  6. Akama K. (1982). Lect. Notes. Phys. 176: 267

    Article  ADS  Google Scholar 

  7. Rubakov V.A. and Shaposhnikov M.E. (1983). Phys. Lett. B 125: 136

    Article  ADS  Google Scholar 

  8. Visser M. (1985). Phys. Lett. B 159: 22

    Article  ADS  MathSciNet  Google Scholar 

  9. Wesson P.S. (1998). Space–Time–Matter Kaluza–Klein theory. World Scientific publishing Company, Singapore

    Google Scholar 

  10. Dirac P.A.M. (1973). Proc. R. Soc. Lond. A 333: 403

    Article  ADS  MathSciNet  Google Scholar 

  11. Israelit M. (1999). Found. Phys. 29: 1303

    Article  MathSciNet  Google Scholar 

  12. Seahra S.S. (2003). Phys. Rev. D 68: 104027

    Article  ADS  MathSciNet  Google Scholar 

  13. Seahra S.S. (2002). Phys. Rev. D 65: 124004

    Article  ADS  MathSciNet  Google Scholar 

  14. Jalalzadeh S. and Sepangi H.R. (2005). Class. Quantum Grav. 22: 2035

    Article  MATH  ADS  MathSciNet  Google Scholar 

  15. Jalalzadeh S., Vakili B., Ahmadi F. and Sepangi H.R. (2006). Class. Quantum. Grav. 23: 6015

    Article  MATH  ADS  MathSciNet  Google Scholar 

  16. Poncede Leon J. (2004). Gen. Rel. Grav. 36: 1333

    Google Scholar 

  17. Poncede Leon J. (2004). Gen.Rel. Grav. 36: 1335

    Article  MATH  ADS  MathSciNet  Google Scholar 

  18. Gogberashvili, M.: hep-th/0603235

  19. Dahia F., Monte E.M. and Romero C. (2003). Mod. Phys. Lett. A 18: 1773

    Article  MATH  ADS  Google Scholar 

  20. Overduin J.M. and Wesson P.S. (1997). Phys. Rept. 283: 303

    Article  ADS  MathSciNet  Google Scholar 

  21. Wesson P.S., Mashhoon B., Liud H. and Sajkoa W.N. (1999). Phys. Lett. B 456: 34

    Article  ADS  Google Scholar 

  22. Wesson P.S. (2002). Class. Quantum. Grav. 19: 2825

    Article  MATH  ADS  MathSciNet  Google Scholar 

  23. Dicke R.H. (1961). Phys. Rev. Lett. 7: 359

    Article  MATH  ADS  Google Scholar 

  24. Perlick V. (1991). Class. Quantum. Grav. 8: 1369

    Article  MATH  ADS  MathSciNet  Google Scholar 

  25. Godfrey J. (1984). Phys. Rev. Lett. 52: 1365

    Article  ADS  MathSciNet  Google Scholar 

  26. Israelit M. (2005). Found. Phys. 35: 1769

    Article  MATH  MathSciNet  ADS  Google Scholar 

  27. Straumann R. (2006). Acta Phys. Polon. B 37: 575

    ADS  MathSciNet  Google Scholar 

  28. O’Raifeartaigh L. and Straumann R. (2000). Rev. Mod. Phys. 27: 1

    Article  MathSciNet  Google Scholar 

  29. Rosen N. (1982). Found. Phys. 12: 213

    Article  ADS  MathSciNet  Google Scholar 

  30. Petron A. (1980). Astrophys. Space Sci. 69: 147

    Article  ADS  Google Scholar 

  31. Wood W.R. and Papini G. (1992). Phys. Rev. D 45: 3617

    Article  ADS  MathSciNet  Google Scholar 

  32. Audretsch J. (1983). Phys. Rev. D 27: 2872

    Article  ADS  MathSciNet  Google Scholar 

  33. Flint H.T. (1936). Proc. Phys. Soc. 48: 433

    Article  MATH  ADS  Google Scholar 

  34. Poncede Leon J. (2003). Int. J. Mod. Phys. D 12: 757

    Article  MATH  ADS  MathSciNet  Google Scholar 

  35. Eisenhart L.P. (1966). Riemannian Geometry. Princeton University Press, Princeton

    Google Scholar 

  36. Mach, E.: The Science of Mechanics, (trans. T. J. McCormach, 2nd. Ed). Open Count Publishing Co. (1893)

  37. Shiromizu T., Maeda K. and Sasaki M. (2000). Phys. Rev. D 62: 024012

    Article  ADS  MathSciNet  Google Scholar 

  38. Padilla A. (2006). Class. Quantum. Grav. 23: 3983

    Article  MATH  ADS  MathSciNet  Google Scholar 

  39. Brans C.H. and Dicke R.H. (1961). Phys. Rev. 124: 925

    Article  MATH  ADS  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, Shahid Beheshti University, Evin, Tehran, 19839, Iran

    S. Jalalzadeh

Authors
  1. S. Jalalzadeh
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to S. Jalalzadeh.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Jalalzadeh, S. Non-integrability and Mach’s principle in induced matter theory. Gen Relativ Gravit 39, 387–400 (2007). https://doi.org/10.1007/s10714-006-0391-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10714-006-0391-1

Keywords

Search

Navigation