Skip to main content
Log in

Observational limits on Gauss-Bonnet and Randall-Sundrum gravities

  • Atoms, Molecules, Optics
  • Published:
Journal of Experimental and Theoretical Physics Aims and scope Submit manuscript

Abstract

We discuss the possibilities of experimental search for the new physics predicted by the Gauss-Bonnet and the Randall-Sundrum theories of gravity. The effective four-dimensional spherically symmetrical solutions of these theories are analyzed. We consider these solutions in the weak-field limit and in the process of the primordial black hole evaporation. We show that the predictions of the discussed models are the same as of general relativity. Hence, current experiments are not applicable for such search, and therefore different methods of observation and higher accuracy are required.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. T. Kaluza, Sitzungsber. Preuss. Akad. Wiss., Phys.-Math. Kl. 1921, 966 (1921); O. Klein, Z. Phys. 37, 895 (1926).

    MATH  Google Scholar 

  2. J. Scherk and J. H. Schwarz, Nucl. Phys. B 81, 188 (1974).

    Article  ADS  MATH  Google Scholar 

  3. A. Sen, Phys. Lett. B 119, 89 (1982); A. Ashtekar, Phys. Rev. Lett. 57, 2244 (1986); A. Ashtekar, Phys. Rev. D: Part. Fields 36, 1587 (1987); R. Penrose, Angular Momentum: An Approach to Combinatorial Space-Time in Quantum Theory and Beyond (Cambridge University Press, Cambridge, 1971); C. Rovelli and L. Smolin, Phys. Rev. Lett. 61, 1155 (1988); C. Rovelli and L. Smolin, Nucl. Phys. B 331, 80 (1990).

    Article  MathSciNet  ADS  Google Scholar 

  4. D. Lovelock, J. Math. Phys. 12, 498 (1971); D. Lovelock, J. Math. Phys. 13, 874 (1972).

    Article  MathSciNet  ADS  Google Scholar 

  5. D. Z. Freedman, G. W. Gibbons, and P. C. West, Phys. Lett. B 124, 491 (1983); C. G. Callan, D. Friedan, E. J. Martinec, and M. J. Perry, Nucl. Phys. B 262, 593 (1985); P. Candelas, G. T. Horowitz, A. Strominger, and E. Witten, Nucl. Phys. B 258, 46 (1985); S. P. de Alwis, Phys. Rev. D: Part. Fields 34, 3760 (1986); D. Gross and E. Witten, Nucl. Phys. B 277, 1 (1986); D. Orlando and P. M. Petropoulis, J. Phys.: Conf. Ser. 53, 551 (2006).

    Article  MathSciNet  ADS  Google Scholar 

  6. B. Zwiebach, Phys. Lett. B 156, 315 (1985); J. T. Wheeler, Nucl. Phys. B 268, 737 (1986); J. T. Wheeler, Nucl. Phys. B 273, 732 (1986); B. Whitt, Phys. Rev. D: Part. Fields 38, 3000 (1988); E. Poisson, Classical Quantum Gravity 8, 639 (1991); T. Torii, H. Yajima, and K. I. Maeda, Phys. Rev. D: Part. Fields 55, 739 (1997).

    Article  ADS  Google Scholar 

  7. S. O. Alexeyev and M. V. Pomazanov, Phys. Rev. D: Part. Fields 55, 2110 (1997); S. O. Alexeyev and M. V. Sazhin, General Relativ. Gravitation 8, 1187 (1998); S. O. Alexeyev, A. Barrau, and K. A. Rannu, Phys. Rev. D: Part., Fields, Gravitation, Cosmol. 79, 067503 (2009); S. O. Alexeyev and K. A. Rannu, J. Exp. Theor. Phys. 114, 406 (2012).

    Article  ADS  Google Scholar 

  8. S. Alexeyev, A. Barrau, G. Boudoul, O. Khovanskaya, and M. Sazhin, Classical Quantum Gravity 19, 4431 (2002).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  9. G. W. Gibbons and K. Maeda, Nucl. Phys. B 298, 741 (1988); D. Garfinkle, G. T. Horowitz, and A. Strominger, Phys. Rev. D: Part. Fields 43, 3140 (1991); D. Garfinkle, G. T. Horowitz, and A. Strominger, Phys. Rev. D: Part. Fields 45, 3888 (1992).

    Article  MathSciNet  ADS  Google Scholar 

  10. S. Mignemi and N. R. Stewart, Phys. Rev. D: Part. Fields 47, 5259 (1993).

    Article  MathSciNet  ADS  Google Scholar 

  11. P. Kanti, N. E. Mavromatos, J. Rizos, K. Tamvakis, and E. Winstanley, Phys. Rev. D: Part. Fields 54, 5049 (1996); Phys. Rev. D: Part. Fields 57, 6255 (1998).

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

  13. L. Randall and R. Sundrum, Phys. Rev. Lett. 83, 4690 (1999).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  14. N. Dadhich, R. Maartens, P. Papadopoulos, and V. Rezania, Phys. Lett. B 487, 1 (2000).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  15. S. O. Alexeyev and D. A. Starodubtseva, J. Exp. Theor. Phys. 111, 576 (2010).

    Article  ADS  Google Scholar 

  16. R. Maartens, Phys. Rev. D: Part. Fields 62, 084023 (2000).

    Article  MathSciNet  ADS  Google Scholar 

  17. A. Chamblin, S. W. Hawking, and H. S. Reall, Phys. Rev. D: Part. Fields 61, 065007 (2000); N. Dadhich, Phys. Lett. B 492, 357 (2000); T. Shiromizu and M. Shibata, Phys. Rev. D: Part. Fields 62, 127502 (2000); S. Nojiri, O. Obregon, S. D. Odintsov, and S. Ogushi, Phys. Rev. D: Part. Fields 62, 064017 (2000); A. Chamblin, H. S. Reall, H. A. Shinkai, and T. Shiromizu, Phys. Rev. D: Part. Fields 63, 064015 (2001); L. A. Anchordoqui, H. Goldberg, and A. D. Shapere, Phys. Rev. D: Part. Fields 66, 024033 (2002).

    Article  MathSciNet  ADS  Google Scholar 

  18. H. Kudoh, T. Tanaka, and T. Nakamura, Phys. Rev. D: Part. Fields 68, 024035 (2003); H. Kudoh, Prog. Theor. Phys. 110, 1059 (2003); H. Kudoh, Phys. Rev. D: Part., Fields, Gravitation, Cosmol. 69, 104019 (2004).

    Article  MathSciNet  ADS  Google Scholar 

  19. T. Tanaka, Prog. Theor. Phys. Suppl. 148, 307 (2002).

    Article  ADS  Google Scholar 

  20. R. Emparan, A. Fabbri, and N. Kaloper, J. High Energy Phys. 08, 043 (2002).

    Article  MathSciNet  ADS  Google Scholar 

  21. R. Emparan, J. Garcia-Bellido, and N. Kaloper, J. High Energy Phys. 01, 079 (2003).

    Article  MathSciNet  ADS  Google Scholar 

  22. H. Yoshino, J. High Energy Phys. 01, 068 (2009).

    Article  MathSciNet  ADS  Google Scholar 

  23. B. Kleihaus, J. Kunz, E. Radu, and D. Senkbeil, Phys. Rev. D: Part., Fields, Gravitation, Cosmol. 83, 104050 (2011).

    Article  Google Scholar 

  24. P. Figueras and T. Wiseman, Phys. Rev. Lett. 107, 081101 (2011).

    Article  ADS  Google Scholar 

  25. P. Figueras, J. Lucietti, and T. Wiseman, Classical Quantum Gravity 28, 215018 (2011).

    Article  MathSciNet  ADS  Google Scholar 

  26. S. Abdolrahimi, C. Cattoën, D. N. Page, and S. Yaghoobpour-Tari, J. Cosmol. Astropart. Phys. 06, 039 (2013).

    Article  ADS  Google Scholar 

  27. C. M. Will, Theory and Experiment in Gravitational Physics, Cambridge University Press, Cambridge, 1981).

    Google Scholar 

  28. S. G. Turyshev, Phys.—Usp. 52, 1 2009.

    Article  ADS  Google Scholar 

  29. C. M. Will, Living Rev. Relativ. 17, 4 (2014).

    Article  ADS  Google Scholar 

  30. T. Sotiriou and E. Barausse, Phys. Rev. D: Part., Fields, Gravitation, Cosmol. 75, 084007 (2007).

    Article  MathSciNet  Google Scholar 

  31. S. de Haro, K. Skenderis, and S. Solodukhin, Commun. Math. Phys. 217, 595 (2001); S. de Haro, K. Skenderis, and S. Solodukhin, Classical Quantum Gravity 18, 3171 (2001).

    Article  ADS  MATH  Google Scholar 

  32. J. G. Williams, S. G. Turyshev, and D. H. Boggs, Phys. Rev. Lett. 93, 261101 (2004).

    Article  ADS  Google Scholar 

  33. D. J. Kapner, T. S. Cook, E. G. Adelberger, J. H. Gundlach, B. R. Heckel, C. D. Hoyle, and H. E. Swanson, Phys. Rev. Lett. 98, 021101 (2007).

    Article  ADS  Google Scholar 

  34. M. Sasaki, T. Shiromizu, and K. I. Maeda, Phys. Rev. D: Part. Fields 62, 024008 (2000).

    Article  MathSciNet  ADS  Google Scholar 

  35. B. J. Carr, K. Kohri, Y. Sendouda, and J. Yokoyama, Phys. Rev. D: Part., Fields, Gravitation, Cosmol. 81, 104019 (2010).

    Article  Google Scholar 

  36. T. N. Ukwatta, J. H. MacGibbon, W. C. Parke, K. S. Dhuga, A. Eskandarian, N. Gehrels, L. Maximon, and D. C. Morris, AIP Conf. Proc. 1133, 440 (2009).

    Article  ADS  Google Scholar 

  37. S. W. Hawking, Nature (London) 248, 30 (1974); S. W. Hawking, Commun. Math. Phys. 43, 199 (1975).

    Article  ADS  Google Scholar 

  38. V. P. Frolov and I. D. Novikov, Black Hole Physics: Basic Concepts and New Developments (Kluwer, New York, 1997).

    Google Scholar 

  39. D. N. Page, Phys. Rev. D: Part. Fields 13, 198 (1976); D. N. Page, Phys. Rev. D: Part. Fields 14, 3260 (1976); D. N. Page, Phys. Rev. D: Part. Fields 16, 2402 (1977).

    Article  ADS  Google Scholar 

  40. M. K. Parikh and F. Wilczek, Phys. Rev. Lett. 85, 5042 (2000).

    Article  MathSciNet  ADS  Google Scholar 

  41. J. H. MacGibbon and B. J. Carr, Astrophys. J. 371, 447 (1991).

    Article  ADS  Google Scholar 

  42. A. Cucchiara, A. J. Levan, D. B. Fox, N. R. Tanvir, T. N. Ukwatta, E. Berger, T. Krühler, A. K. Yoldaş, X. F. Wu, K. Toma, J. Greiner, F. E. Olivares, A. Rowlinson, L. Amati, T. Sakamoto, et al., Astrophys. J. 736, 7 (2011).

    Article  ADS  Google Scholar 

  43. S. Shankaranarayanan, T. Padmanabhan, and K. Srinivasan, Classical Quantum Gravity 19, 2671 (2002).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  44. S. Capozziello and M. De Laurentis, Phys. Rep. 509, 167 (2011).

    Article  MathSciNet  ADS  Google Scholar 

  45. M. Sharif and M. Zubair, Astrophys. Space Sci. 342, 511 (2012); J.-A. Gu, Int. J. Mod. Phys., Conf. Ser. 10, 63 (2012); F. A. T. Pannia and S. E. P. Bergliaffa, J. Cosmol. Astropart. Phys. 1308, 030 (2013); J.-Q. Guo, Int.J. Mod. Phys. D 23, 1450036 (2014); E. V. Arbuzova, A. D. Dolgov, and L. Reverberi, Astropart. Phys. 54, 44 (2014); J. Dossett, B. Hu, and D. Parkinson, J. Cosmol. Astropart. Phys. 1403, 046 (2014); C. A. Sporea, arXiv:gr-qc/1403.3852 (2014).

    Article  ADS  MATH  Google Scholar 

  46. G. Dautcourt, Gen. Relativ. Gravitation 28, 905 (1996); T. Chiba, Phys. Lett. B 575, 1 (2003); T. Chiba, T. L. Smith, and A. L. Erickcek, Phys. Rev. D: Part., Fields, Gravitation, Cosmol. 75, 124014 (2007);K. Kainulainen and D. Sunhede, Phys. Rev. D: Part., Fields, Gravitation, Cosmol. 78, 063511 (2008); T. Multamaki and I. Vilja, Phys. Lett. B 659, 843 (2008); Kh. Saaidi and A. Aghamohammadi, Astrophys. Space Sci. 333, 327 (2011); A. de Felice and S. Tsijikawa, Living Rev. Relativ. 13, 3 (2010).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  47. T. Damour and G. Esposit-Farise, Phys. Rev. D: Part.Fields 53, 5541 (1996).

    Article  ADS  Google Scholar 

  48. K. G. Arun, L. Blanchet, B. R. Iyer, and M. S. S. Qusailah, Phys. Rev. D: Part., Fields, Gravitation, Cosmol. 77, 064034 (2008); G. Faye, S. Marsat, L. Blanchet, and B. R. Iyer, arXiv:gr-qc/1210.2339v1; S. Marsat, A. Bohe, L. Blanchet, and A. Buonanno, Class. Quant Grav. 31, 025023 (2014).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to S. O. Alexeyev.

Additional information

The article is published in the original.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Alexeyev, S.O., Rannu, K.A., Dyadina, P.I. et al. Observational limits on Gauss-Bonnet and Randall-Sundrum gravities. J. Exp. Theor. Phys. 120, 966–973 (2015). https://doi.org/10.1134/S1063776115060011

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063776115060011

Keywords

Navigation