Skip to main content
SpringerLink
Log in

Field Equations and Conservation Laws Derived from the Generalized Einstein’s Lagrangian Density for a Gravitational System and Their Influences upon Cosmology

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

Through discussions on the fundamental properties of the generalized Einstein’s Lagrangian density for a gravitational system, the theoretical foundations of the modified Einstein’s field equations and the Lorentz and Levi-Civita’s conservation laws are systematically studied. The theory of cosmology founded on them is discussed in detail and some new properties and new effects of the cosmos are deduced; these new properties and new effects could be tested via future experiments and observations.

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. Kibble, T.W.B.: Lorentz invariance and the gravitational field. J. Math. Phys. 2, 212 (1961)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  2. Hawking, S.W., Ellis, G.F.R.: The Large Scale Structure of Space–Time. Cambridge University Press, London (1973)

    MATH  Google Scholar 

  3. Chen, F.P.: General equations of motion for test particles in space-time with torsion. Int. J. Theor. Phys. 29, 161 (1990)

    Article  MATH  Google Scholar 

  4. Weinberg, S.: Gravitation and Cosmology. Wiley, New York (1972)

    Google Scholar 

  5. Hehl, F.W., von der Heyde, P., Kerlick, G.D.: General relativity with spin and torsion: foundations and prospects. Rev. Mod. Phys. 48, 393 (1976)

    Article  ADS  Google Scholar 

  6. Corson, E.M.: Introduction to Tensors, Spinors and Relativistic Wave Equations. Blackie, London (1953)

    MATH  Google Scholar 

  7. Lurie, D.: Particles and Fields. Interscience, New York (1968)

    Google Scholar 

  8. Landau, L., Lifshitz, E.: The Classical Theory of Fields. Pergamon, Oxford (1975), translated by M. Hamermesh

    Google Scholar 

  9. Cattani, C., De Maria, M.: Conservation laws and gravitational waves in general relativity. In: Earman, J., Janssen, M., Norton, J.D. (eds.) The Attraction of Gravitation. Birkhauser, Boston (1993)

    Google Scholar 

  10. Chen, F.P.: The restudy on the debate between Einstein and Levi-Civita and the experimental tests. Spacetime Subst. 3, 161 (2002)

    Google Scholar 

  11. Chen, F.P.: Restudy in energy–momentum tensor density for gravitational field in general relativity. J. Dalian Univ. Technol. 37, 33 (1997) (in Chinese)

    Google Scholar 

  12. Chen, F.P.: Investigation on problem of coincidence between the observed and the predicted value of orbital period decay rate p b for PSR1534+12. Ziran Zazhi (J. Nature) 20, 178 (1998) (in Chinese)

    Google Scholar 

  13. Chen, F.P.: The historic debate in the definition for energy-momentum tensor density of gravitational field and its new study. J. Hebei Normal Univ. 24, 326 (2000) (in Chinese)

    Google Scholar 

  14. Fukugita, M.: The dark side. Nature 422, 489 (2003)

    Article  ADS  Google Scholar 

  15. Peebles, P.J.E., Ratra, B.: The cosmological constant and dark energy. Rev. Mod. Phys. 75, 559 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  16. Gratton, S., Steinhardt, P.: Beyond the inflationary border. Nature 423, 817 (2003)

    Article  ADS  Google Scholar 

  17. Carroll, S.: Filling in the background. Nature 422, 26 (2003)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, Dalian University of Technology, Dalian, 116024, China

    Fang-Pei Chen

Authors
  1. Fang-Pei Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Fang-Pei Chen.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chen, FP. Field Equations and Conservation Laws Derived from the Generalized Einstein’s Lagrangian Density for a Gravitational System and Their Influences upon Cosmology. Int J Theor Phys 47, 421–437 (2008). https://doi.org/10.1007/s10773-007-9463-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-007-9463-6

Keywords

Search

Navigation