Observational limits on Gauss-Bonnet and Randall-Sundrum gravities

  • S. O. Alexeyev
  • K. A. Rannu
  • P. I. Dyadina
  • B. N. Latosh
  • S. G. Turyshev
Atoms, Molecules, Optics

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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    T. Kaluza, Sitzungsber. Preuss. Akad. Wiss., Phys.-Math. Kl. 1921, 966 (1921); O. Klein, Z. Phys. 37, 895 (1926).MATHGoogle Scholar
  2. 2.
    J. Scherk and J. H. Schwarz, Nucl. Phys. B 81, 188 (1974).ADSCrossRefMATHGoogle Scholar
  3. 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).MathSciNetADSCrossRefGoogle Scholar
  4. 4.
    D. Lovelock, J. Math. Phys. 12, 498 (1971); D. Lovelock, J. Math. Phys. 13, 874 (1972).MathSciNetADSCrossRefGoogle Scholar
  5. 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).MathSciNetADSCrossRefGoogle Scholar
  6. 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).ADSCrossRefGoogle Scholar
  7. 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).ADSCrossRefGoogle Scholar
  8. 8.
    S. Alexeyev, A. Barrau, G. Boudoul, O. Khovanskaya, and M. Sazhin, Classical Quantum Gravity 19, 4431 (2002).MathSciNetADSCrossRefMATHGoogle Scholar
  9. 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).MathSciNetADSCrossRefGoogle Scholar
  10. 10.
    S. Mignemi and N. R. Stewart, Phys. Rev. D: Part. Fields 47, 5259 (1993).MathSciNetADSCrossRefGoogle Scholar
  11. 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).MathSciNetADSCrossRefGoogle Scholar
  12. 12.
    L. Randall and R. Sundrum, Phys. Rev. Lett. 83, 3370 (1999).MathSciNetADSCrossRefMATHGoogle Scholar
  13. 13.
    L. Randall and R. Sundrum, Phys. Rev. Lett. 83, 4690 (1999).MathSciNetADSCrossRefMATHGoogle Scholar
  14. 14.
    N. Dadhich, R. Maartens, P. Papadopoulos, and V. Rezania, Phys. Lett. B 487, 1 (2000).MathSciNetADSCrossRefMATHGoogle Scholar
  15. 15.
    S. O. Alexeyev and D. A. Starodubtseva, J. Exp. Theor. Phys. 111, 576 (2010).ADSCrossRefGoogle Scholar
  16. 16.
    R. Maartens, Phys. Rev. D: Part. Fields 62, 084023 (2000).MathSciNetADSCrossRefGoogle Scholar
  17. 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).MathSciNetADSCrossRefGoogle Scholar
  18. 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).MathSciNetADSCrossRefGoogle Scholar
  19. 19.
    T. Tanaka, Prog. Theor. Phys. Suppl. 148, 307 (2002).ADSCrossRefGoogle Scholar
  20. 20.
    R. Emparan, A. Fabbri, and N. Kaloper, J. High Energy Phys. 08, 043 (2002).MathSciNetADSCrossRefGoogle Scholar
  21. 21.
    R. Emparan, J. Garcia-Bellido, and N. Kaloper, J. High Energy Phys. 01, 079 (2003).MathSciNetADSCrossRefGoogle Scholar
  22. 22.
    H. Yoshino, J. High Energy Phys. 01, 068 (2009).MathSciNetADSCrossRefGoogle Scholar
  23. 23.
    B. Kleihaus, J. Kunz, E. Radu, and D. Senkbeil, Phys. Rev. D: Part., Fields, Gravitation, Cosmol. 83, 104050 (2011).CrossRefGoogle Scholar
  24. 24.
    P. Figueras and T. Wiseman, Phys. Rev. Lett. 107, 081101 (2011).ADSCrossRefGoogle Scholar
  25. 25.
    P. Figueras, J. Lucietti, and T. Wiseman, Classical Quantum Gravity 28, 215018 (2011).MathSciNetADSCrossRefGoogle Scholar
  26. 26.
    S. Abdolrahimi, C. Cattoën, D. N. Page, and S. Yaghoobpour-Tari, J. Cosmol. Astropart. Phys. 06, 039 (2013).ADSCrossRefGoogle Scholar
  27. 27.
    C. M. Will, Theory and Experiment in Gravitational Physics, Cambridge University Press, Cambridge, 1981).Google Scholar
  28. 28.
    S. G. Turyshev, Phys.—Usp. 52, 1 2009.ADSCrossRefGoogle Scholar
  29. 29.
    C. M. Will, Living Rev. Relativ. 17, 4 (2014).ADSCrossRefGoogle Scholar
  30. 30.
    T. Sotiriou and E. Barausse, Phys. Rev. D: Part., Fields, Gravitation, Cosmol. 75, 084007 (2007).MathSciNetCrossRefGoogle Scholar
  31. 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).ADSCrossRefMATHGoogle Scholar
  32. 32.
    J. G. Williams, S. G. Turyshev, and D. H. Boggs, Phys. Rev. Lett. 93, 261101 (2004).ADSCrossRefGoogle Scholar
  33. 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).ADSCrossRefGoogle Scholar
  34. 34.
    M. Sasaki, T. Shiromizu, and K. I. Maeda, Phys. Rev. D: Part. Fields 62, 024008 (2000).MathSciNetADSCrossRefGoogle Scholar
  35. 35.
    B. J. Carr, K. Kohri, Y. Sendouda, and J. Yokoyama, Phys. Rev. D: Part., Fields, Gravitation, Cosmol. 81, 104019 (2010).CrossRefGoogle Scholar
  36. 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).ADSCrossRefGoogle Scholar
  37. 37.
    S. W. Hawking, Nature (London) 248, 30 (1974); S. W. Hawking, Commun. Math. Phys. 43, 199 (1975).ADSCrossRefGoogle Scholar
  38. 38.
    V. P. Frolov and I. D. Novikov, Black Hole Physics: Basic Concepts and New Developments (Kluwer, New York, 1997).Google Scholar
  39. 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).ADSCrossRefGoogle Scholar
  40. 40.
    M. K. Parikh and F. Wilczek, Phys. Rev. Lett. 85, 5042 (2000).MathSciNetADSCrossRefGoogle Scholar
  41. 41.
    J. H. MacGibbon and B. J. Carr, Astrophys. J. 371, 447 (1991).ADSCrossRefGoogle Scholar
  42. 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).ADSCrossRefGoogle Scholar
  43. 43.
    S. Shankaranarayanan, T. Padmanabhan, and K. Srinivasan, Classical Quantum Gravity 19, 2671 (2002).MathSciNetADSCrossRefMATHGoogle Scholar
  44. 44.
    S. Capozziello and M. De Laurentis, Phys. Rep. 509, 167 (2011).MathSciNetADSCrossRefGoogle Scholar
  45. 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).ADSCrossRefMATHGoogle Scholar
  46. 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).MathSciNetADSCrossRefMATHGoogle Scholar
  47. 47.
    T. Damour and G. Esposit-Farise, Phys. Rev. D: Part.Fields 53, 5541 (1996).ADSCrossRefGoogle Scholar
  48. 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).CrossRefGoogle Scholar

Copyright information

© Pleiades Publishing, Inc. 2015

Authors and Affiliations

  • S. O. Alexeyev
    • 1
  • K. A. Rannu
    • 1
  • P. I. Dyadina
    • 2
  • B. N. Latosh
    • 3
    • 4
  • S. G. Turyshev
    • 5
  1. 1.Sternberg Astronomical InstituteMoscow State UniversityMoscowRussia
  2. 2.Physics DepartmentMoscow State UniversityMoscowRussia
  3. 3.Faculty of Natural and Engineering ScienceDubna International UniversityDubna, Moscow oblastRussia
  4. 4.Physics Department, Institute for Natural SciencesUral Federal UniversityYekaterinburgRussia
  5. 5.Jet Propulsion LaboratoryCalifornia Institute of TechnologyPasadenaUSA

Personalised recommendations