Skip to main content

Black Holes in the Asymptotic Safety Program

  • Chapter
  • First Online:
  • 962 Accesses

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 170))

Abstract

The Asymptotic Safety scenario in quantum gravity provides a powerful framework to investigate the properties of black holes and spacetime singularities near the Planck scale. A rather robust prediction of this approach is that the final state of the black hole evaporation process is a Planck size remnant. Moreover, if the black hole is formed during a realistic gravitational collapse, quantum gravitational effects tend to suppress the inflation of the mass function at the Cauchy horizon. The scalar singularity in the future evolution of the spacetime is still present although its strength is much weaker than the classical case.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   169.99
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

Learn about institutional subscriptions

References

  1. S.S. Doeleman, J. Weintroub, A.E.E. Rogers, R. Plambeck, R. Freund, R.P.J. Tilanus, P. Friberg, L.M. Ziurys, J.M. Moran, B. Corey, K.H. Young, D.L. Smythe, M. Titus, D.P. Marrone, R.J. Cappallo, D.C.J. Bock, G.C. Bower, R. Chamberlin, G.R. Davis, T.P. Krichbaum, J. Lamb, H. Maness, A.E. Niell, A. Roy, P. Strittmatter, D. Werthimer, A.R. Whitney, D. Woody 455, 78 (2008)

    Google Scholar 

  2. S. Gillessen, R. Genzel, T.K. Fritz, E. Quataert, C. Alig, A. Burkert, J. Cuadra, F. Eisenhauer, O. Pfuhl, K. Dodds-Eden, C.F. Gammie, T. Ott 481, 51 (2012)

    Google Scholar 

  3. R.H. Price, Phys. Rev. D 5, 2419 (1972)

    Article  MathSciNet  ADS  Google Scholar 

  4. E. Poisson, W. Israel, Phys. Rev. D 41, 1796 (1990)

    Article  MathSciNet  ADS  Google Scholar 

  5. A. Bonanno, S. Droz, W. Israel, S.M. Morsink, Phys. Rev. D 50, 7372 (1994)

    Article  MathSciNet  ADS  Google Scholar 

  6. A. Bonanno, Phys. Rev. D 53, 7373 (1996)

    Article  MathSciNet  ADS  Google Scholar 

  7. P.R. Brady, S. Droz, S.M. Morsink, Phys. Rev. D 58(8), 084034 (1998)

    Article  MathSciNet  ADS  Google Scholar 

  8. L.M. Burko, Phys. Rev. D 66(2), 024046 (2002)

    Article  MathSciNet  ADS  Google Scholar 

  9. A. Ori, Phys. Rev. Lett. 68, 2117 (1992)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  10. M. Niedermaier, M. Reuter, Living Rev. Relativ. 9, 5 (2006)

    Article  ADS  Google Scholar 

  11. S. Weinberg, in General Relativity: An Einstein centenary survey, eds. by S.W. Hawking, W. Israel (1979), pp. 790–831

    Google Scholar 

  12. C. Wetterich, Phys. Lett. B 301, 90 (1993)

    Article  ADS  Google Scholar 

  13. M. Reuter, Phys. Rev. D 57, 971 (1998). doi:10.1103/PhysRevD.57.971

    Article  MathSciNet  ADS  Google Scholar 

  14. O. Lauscher, M. Reuter, Phys. Rev. D 66(2), 025026 (2002)

    Article  MathSciNet  ADS  Google Scholar 

  15. O. Lauscher, M. Reuter, Phys. Rev. D 65(2), 025013 (2002)

    Article  MathSciNet  ADS  Google Scholar 

  16. M. Reuter, F. Saueressig, Phys. Rev. D 65(6), 065016 (2002)

    Article  MathSciNet  ADS  Google Scholar 

  17. M. Reuter, F. Saueressig, Phys. Rev. D 66(12), 125001 (2002)

    Article  MathSciNet  ADS  Google Scholar 

  18. W. Souma, Prog. Theoret. Phys. 102, 181 (1999)

    Article  MathSciNet  ADS  Google Scholar 

  19. A. Bonanno, M. Reuter, J. High Energ. Phys. 2, 035 (2005)

    Article  MathSciNet  ADS  Google Scholar 

  20. R. Percacci, D. Perini, Phys. Rev. D 67(8), 081503 (2003)

    Article  ADS  Google Scholar 

  21. R. Percacci, D. Perini, Phys. Rev. D 68(4), 044018 (2003)

    Article  ADS  Google Scholar 

  22. A. Codello, R. Percacci, Phys. Rev. Lett. 97(22), 221301 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  23. D.F. Litim, Phys. Rev. Lett. 92(20), 201301 (2004)

    Article  MathSciNet  ADS  Google Scholar 

  24. A. Codello, R. Percacci, C. Rahmede, Ann. Phys. 324, 414 (2009)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  25. P.F. Machado, F. Saueressig, Phys. Rev. D 77(12), 124045 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  26. M. Reuter, H. Weyer, Phys. Rev. D 79(10), 105005 (2009)

    Article  ADS  Google Scholar 

  27. M. Reuter, H. Weyer, Phys. Rev. D 80(2), 025001 (2009)

    Article  ADS  Google Scholar 

  28. D. Benedetti, P.F. Machado, F. Saueressig, Nucl. Phys. B 824, 168 (2010)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  29. J.E. Daum, U. Harst, M. Reuter, J. High Energ. Phys. 1, 84 (2010)

    Article  ADS  Google Scholar 

  30. E. Manrique, S. Rechenberger, F. Saueressig, Phys. Rev. Lett. 106(25), 251302 (2011)

    Article  ADS  Google Scholar 

  31. A. Eichhorn, H. Gies, M.M. Scherer, Phys. Rev. D 80(10), 104003 (2009)

    Article  ADS  Google Scholar 

  32. A. Eichhorn, H. Gies, Phys. Rev. D 81(10), 104010 (2010)

    Article  ADS  Google Scholar 

  33. K. Groh, F. Saueressig, J. Phys. Math. Gen. 43, 365403 (2010)

    Article  MathSciNet  Google Scholar 

  34. D. Benedetti, F. Caravelli, J. High Energ. Phys. 6, 17 (2012)

    Article  MathSciNet  ADS  Google Scholar 

  35. A. Bonanno, F. Guarnieri, Phys. Rev. D 86(10), 105027 (2012)

    Article  ADS  Google Scholar 

  36. D. Benedetti, F. Guarnieri. ArXiv e-prints (2013)

    Google Scholar 

  37. A. Nink, M. Reuter, J. High Energ. Phys. 1, 62 (2013)

    Article  ADS  Google Scholar 

  38. M. Reuter, F. Saueressig, New J. Phys. 14(5), 055022 (2012). doi:10.1088/1367-2630/14/5/055022

    Article  MathSciNet  ADS  Google Scholar 

  39. M. Reuter, F. Saueressig, Lecture Notes in Physics, vol. 863, eds. by G. Calcagni, L. Papantonopoulos, G. Siopsis, N. Tsamis (Springer, Berlin, 2013). (Lecture Notes in Physics, vol. 863 (Springer, Berlin, 2013), p. 185)

    Google Scholar 

  40. A. Bonanno, M. Reuter, Phys. Rev. D 62(4), 043008 (2000)

    Article  MathSciNet  ADS  Google Scholar 

  41. A. Bonanno, M. Reuter, Phys. Rev. D 73(8), 083005 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  42. T.G. Rizzo, Class. Quantum Gravity 23, 4263 (2006)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  43. B. Koch, M. Bleicher, H. Stöcker, Phys. Lett. B 672, 71 (2009)

    Article  ADS  Google Scholar 

  44. M. Bleicher, P. Nicolini, J. Phys. Conf. Ser. 237(1), 012008 (2010)

    Article  ADS  Google Scholar 

  45. T. Burschil, B. Koch, Soviet. J. Exp. Theor. Phys. Lett. 92, 193 (2010)

    Article  Google Scholar 

  46. K. Falls, D.F. Litim, A. Raghuraman, Int. J. Mod. Phys. A 27, 1250019 (2012)

    Article  MathSciNet  ADS  Google Scholar 

  47. J. Mureika, P. Nicolini, E. Spallucci, Phys. Rev. D 85(10), 106007 (2012)

    Article  ADS  Google Scholar 

  48. A. Barrau, C. Féron, J. Grain, Astrophys. J. 630, 1015 (2005)

    Article  ADS  Google Scholar 

  49. M. Reuter, E. Tuiran, Phys. Rev. D 83(4), 044041 (2011)

    Article  ADS  Google Scholar 

  50. Y.F. Cai, D.A. Easson, JCAP 9, 002 (2010)

    Article  MathSciNet  ADS  Google Scholar 

  51. D.J. Liu, B. Yang, Y.J. Zhai, X.Z. Li, Class. Quantum Gravity 29(14), 145009 (2012)

    Article  MathSciNet  ADS  Google Scholar 

  52. J.F. Donoghue, Phys. Rev. Lett. 72, 2996 (1994)

    Article  ADS  Google Scholar 

  53. A. Bonanno, M. Reuter, Phys. Rev. D 60(8), 084011 (1999)

    Article  MathSciNet  ADS  Google Scholar 

  54. F. Fayos, R. Torres, Class. Quantum Gravity 28(10), 105004 (2011)

    Article  MathSciNet  ADS  Google Scholar 

  55. B. Koch, F. Saueressig. ArXiv e-prints (2013)

    Google Scholar 

  56. C. Contreras, B. Koch, P. Rioseco, Class. Quantum Gravity 30(17), 175009 (2013)

    Article  MathSciNet  ADS  Google Scholar 

  57. B. Koch, C. Contreras, P. Rioseco, F. Saueressig. ArXiv e-prints (2013)

    Google Scholar 

  58. M. Reuter, H. Weyer, Phys. Rev. D 69(10), 104022 (2004)

    Article  ADS  Google Scholar 

  59. M. Reuter, H. Weyer, Phys. Rev. D 70(12), 124028 (2004)

    Article  ADS  Google Scholar 

  60. A. Bonanno, Phys. Rev. D 85(8), 081503 (2012)

    Article  ADS  Google Scholar 

Download references

Acknowledgments

It is a pleasure to thank Piero Nicolini and all the organizers of the KSM 2013 meeting for the warm hospitality and the exciting scientific environment.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Alfio Bonanno .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Bonanno, A. (2016). Black Holes in the Asymptotic Safety Program. In: Nicolini, P., Kaminski, M., Mureika, J., Bleicher, M. (eds) 1st Karl Schwarzschild Meeting on Gravitational Physics. Springer Proceedings in Physics, vol 170. Springer, Cham. https://doi.org/10.1007/978-3-319-20046-0_17

Download citation

Publish with us

Policies and ethics