Skip to main content
SpringerLink
Log in

Pseudo-complex General Relativity and Neutron Stars

  • Chapter
  • First Online:
Nuclear Physics: Present and Future

Part of the book series: FIAS Interdisciplinary Science Series ((FIAS))

  • 1889 Accesses

Abstract

The basic concepts of the pseudo-complex General Relativity (pc-GR) are presented. The pc-GR is finally applied to neutron stars. We discuss the TOV equations for the matter and the dark energy. It is shown that already with a simple coupling of the matter with the dark energy, neutron stars with six solar masses can be generated without difficulty.

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 99.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 129.99
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

References

  1. A. Einstein, Ann. Math. 46, 578 (1945)

    Article  MATH  Google Scholar 

  2. A. Einstein, Rev. Mod. Phys. 20, 35 (1948)

    Article  ADS  Google Scholar 

  3. M. Born, Proc. Roy. Soc. A 165, 291 (1938)

    Article  ADS  Google Scholar 

  4. M. Born, Rev. Mod. Phys. 21, 463 (1949)

    Article  MATH  ADS  Google Scholar 

  5. E.R. Caianiello, Nuovo Cim. Lett. 32, 65 (1981)

    Article  Google Scholar 

  6. S.G. Low, J. Phys. A 35, 5711 (2002)

    Article  MathSciNet  MATH  ADS  Google Scholar 

  7. H.E. Brandt, Found. Phys. Lett. 2, 39 (1989)

    Article  Google Scholar 

  8. H.E. Brandt, Found. Phys. Lett. 4, 523 (1989)

    Article  Google Scholar 

  9. H.E. Brandt, Found. Phys. Lett. 6, 245 (1993)

    Article  MathSciNet  Google Scholar 

  10. R.G. Beil, Found. Phys. 33, 1107 (2003)

    Article  MathSciNet  Google Scholar 

  11. R.G. Beil, Int. J. Theor. Phys. 26, 189 (1987)

    Article  MathSciNet  MATH  Google Scholar 

  12. R.G. Beil, Int. J. Theor. Phys. 28, 659 (1989)

    Article  MathSciNet  MATH  Google Scholar 

  13. R.G. Beil, Int. J. Theor. Phys. 31, 1025 (1992)

    Article  MathSciNet  MATH  Google Scholar 

  14. J.W. Moffat, Phys. Rev. D 19, 3554 (1979)

    Article  MathSciNet  MATH  ADS  Google Scholar 

  15. G. Kunstatter, J.W. Moffat, J. Malzan, J. Math. Phys. 24, 886 (1983)

    Article  MathSciNet  MATH  ADS  Google Scholar 

  16. G. Kunstatter, R. Yates, J. Phys. A 14, 847 (1981)

    Article  MathSciNet  ADS  Google Scholar 

  17. C. Mantz, T. Prokopec, arXiv:gr-qc|0804.0213v1, 2008

    Google Scholar 

  18. C. Mantz, T. Prokopec, Found. Phys. 41, 1597 (2011)

    Article  MathSciNet  MATH  ADS  Google Scholar 

  19. P.F. Kelly, R.B. Mann, Class. Quant. Grav. 3, 705 (1986)

    Article  MathSciNet  ADS  Google Scholar 

  20. F.P. Schuller, Dirac-Born-Infeld Kinematics, Maximal Acceleration and Almost Product Manifolds, Ph.D. Thesis, Cambridge, (2003)

    Google Scholar 

  21. F.P. Schuller, M.N.R. Wohlfarth, T.W. Grimm, Class. Quant. Grav. 20, 1 (2003)

    Article  MathSciNet  Google Scholar 

  22. P.O. Hess, W. Greiner, Int. J. Mod. Phys. E 16, 1643 (2007)

    Article  ADS  Google Scholar 

  23. A. Crumeyrolle, Ann. de la Fac. des Sciences de Toulouse, 4\(^{\text{ e }}\) série, 26, 105 (1962)

    Google Scholar 

  24. A. Crumeyrolle, Riv. Mat. Univ. Parma (2) 5, 85 (1964)

    Google Scholar 

  25. R.-L. Clerc, Ann. de L’I.H.P. Section A 12(4), 343 (1970)

    Google Scholar 

  26. R.-L. Clerc, Ann. de L’I.H.P. Section A 17(3), 227 (1972)

    Google Scholar 

  27. P.O. Hess, W. Greiner, Int. J. Mod. Phys. E 18, 51 (2009)

    Article  ADS  Google Scholar 

  28. P.O. Hess, L. Maghlaoui, W. Greiner, Int. J. Mod. Phys. E 19, 1315 (2010)

    Article  MathSciNet  ADS  Google Scholar 

  29. G. Caspar, T. Schönenbach, P. Hess, W. Greiner, Int. J. Mod. Phys. E 20(S1), 807 (2011)

    ADS  Google Scholar 

  30. T. Schönenbach, G. Caspar, P.O. Hess, T. Boller, A. Müller, M. Schäfer, W. Greiner, Month. Notic. Roy. Astron. Soc. 430, 2999 (2013)

    Google Scholar 

  31. T. Boller, see contribution within this volume

    Google Scholar 

  32. F. Antonuccio, Semi-Complex Analysis and Mathematical Physics, gr-qc/9311032

  33. I.L. Kantor, A.S. Solodovnikov, Hypercomplex Numbers. An Elementary Introduction to Algebra (Springer, Heidelberg, 1989)

    Google Scholar 

  34. C.R. Ghezzi, Astrophysics and space science (2011), http://link.springer.com/article/10.1007/s10509-011-0663-4

  35. M. Visser, Phys. Rev. D 54, 5116 (1996)

    Article  MathSciNet  ADS  Google Scholar 

  36. C. Barceló, S. Liberati, S. Sonego, M. Visser, Phys. Rev. D 77, 044032 (2008)

    Article  ADS  Google Scholar 

  37. C.W. Misner, K.S. Thorne, J.A. Wheeler, Gravitation (W. H. Freeman and Company, San Francisco, 1973)

    Google Scholar 

  38. M. Schäfer, see contribution within this volume

    Google Scholar 

  39. S.W. Hawking, G.F.R. Ellis, The large scale structure of space-time (Campridge University Press, Cambridge, 1973)

    Book  MATH  Google Scholar 

  40. V. Dexheimer, S. Schramm, Astroph. J. 3, 943 (2008)

    Article  ADS  Google Scholar 

Download references

Acknowledgments

P.O.H. acknowledges financial support from DGAPA and CONACyT, and also from FIAS and GSI.

Author information

Authors and Affiliations

  1. Circuito Exterior, Instituto de Ciencias Nucleares, UNAM, C.U., A.P. 70-543, 04510, Mexico, Mexico

    Peter O. Hess

  2. Frankfurt Institute for Advanced Studies, Johann Wolfgang Goethe Universität, Ruth-Moufang-Str. 1, 60438, Frankfurt, Germany

    Isaac Rodríguez & Walter Greiner

Authors
  1. Peter O. Hess
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Isaac Rodríguez
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Walter Greiner
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Peter O. Hess .

Editor information

Editors and Affiliations

  1. Frankfurt Institute for Advanced Studies Goethe Universität Frankfurt, Frankfurt, Germany

    Walter Greiner

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Hess, P.O., Rodríguez, I., Greiner, W. (2015). Pseudo-complex General Relativity and Neutron Stars. In: Greiner, W. (eds) Nuclear Physics: Present and Future. FIAS Interdisciplinary Science Series. Springer, Cham. https://doi.org/10.1007/978-3-319-10199-6_24

Download citation

Publish with us

Policies and ethics

Search

Navigation