Skip to main content
SpringerLink
Log in

Shadow Shapes Around the Black Hole in the Galactic Centre

  • Conference paper
Dark Matter in Astro- and Particle Physics

Abstract

Recently Holz & Wheeler [1] considered a very attracting possibility to detect retro-MACHOs, i.e. retro-images of the Sun by a Schwarzschild black hole. In this paper we discuss glories (mirages) formed near rapidly rotating Kerr black hole horizons and propose a procedure to measure masses and rotation parameters analyzing these forms of mirages. In some sense that is a manifestation of gravitational lens effect in the strong gravitational field near black hole horizon and a generalization of the retro-gravitational lens phenomenon. We analyze the case of a Kerr black hole rotating at arbitrary speed for some selected positions of a distant observer with respect to the equatorial plane of a Kerr black hole. We discuss glories (mirages) formed near rapidly rotating Kerr black hole horizons and propose a procedure to measure masses and rotation parameters analyzing these forms of mirages. Some time ago Falcke, Melia & Agol [2] suggested to search shadows at the Galactic Center. In this paper we present the boundaries for shadows calculated numerically. We also propose to use future radio interferometer RADIOASTRON facilities to measure shapes of mirages (glories) and to evaluate the black hole spin as a function of the position angle of a distant observer.

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 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. D. Holz and J.A. Wheeler: ApJ, 578, 330 (2002)

    Article  ADS  Google Scholar 

  2. H. Falcke, F. Melia, E. Agol: ApJ, 528, L13 (2000)

    Article  ADS  Google Scholar 

  3. S. Frittelli, T.P. Kling & E.T. Newman: PRD, 61, 064021 (2000)

    Article  MathSciNet  ADS  Google Scholar 

  4. K.S. Virbhadra & G.F.R. Ellis: PRD, 62, 084003 (2000)

    Article  MathSciNet  ADS  Google Scholar 

  5. K.S. Virbhadra & G.F.R. Ellis: PRD, 65, 103004 (2002)

    Article  MathSciNet  ADS  Google Scholar 

  6. I. Ciufolini & F. Ricci: CQG, 19, 3863 (2002)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  7. I. Ciufolini & F. Ricci: gr-qc/0301030

    Google Scholar 

  8. V. Bozza: PRD, 66, 103001 (2002)

    Article  ADS  Google Scholar 

  9. V. Bozza: PRD, 67, 103006 (2003)

    Article  ADS  Google Scholar 

  10. V. Bozza & L. Mancini: GRG, 36, 435 (2004)

    MathSciNet  MATH  Google Scholar 

  11. V. Bozza & L. Mancini: astro-ph/0404526

    Google Scholar 

  12. E.F. Eiroa, G.E. Romero & D.F. Torres: PRD, 66, 024010 (2002)

    Article  MathSciNet  ADS  Google Scholar 

  13. E.F. Eiroa & D.F. Torres: PRD, 69, 063004 (2004)

    Article  ADS  Google Scholar 

  14. M. Sereno: MNRAS, 344, 942 (2003)

    Article  ADS  Google Scholar 

  15. M. Sereno: PRD, 69, 023002 (2004)

    Article  ADS  Google Scholar 

  16. P. Young: Phys. Rev. D, 14, 3281 (1976)

    Article  ADS  Google Scholar 

  17. S. Chandrasekhar: The Mathematical Theory of Black Holes. (Clarendon Press, Oxford, 1983)

    MATH  Google Scholar 

  18. A.F. Zakharov: Sov. Phys. — J. Exp. & Theor. Phys., 64, 1 (1986)

    Google Scholar 

  19. A.F. Zakharov: Sov. Phys. — J. Exp. & Theor. Phys. 68, 217 (1989)

    ADS  Google Scholar 

  20. A.F. Zakharov: SvA, 35, 147 (1991)

    ADS  Google Scholar 

  21. F. De Paolis, A. Geralico, G. Ingrosso, A.A. Nucita: A&A, 409, 804 (2003)

    Google Scholar 

  22. F. De Paolis, A. Geralico, G. Ingrosso, A.A. Nucita, A. Qadir: A&A, 415, 1 (2004)

    Article  ADS  MATH  Google Scholar 

  23. B. Carter: Phys.Rev., 174, 1559 (1968)

    Article  MATH  ADS  Google Scholar 

  24. A.F. Zakharov: Preprint ITEP 44–91 (1991)

    Google Scholar 

  25. K.P. Rauch and R.D. Blandford: ApJ, 421, 46 (1994)

    Article  ADS  Google Scholar 

  26. R. Takahashi: astro-ph/0405099

    Google Scholar 

  27. A.F. Zakharov: MNRAS, 269, 283 (1994)

    ADS  Google Scholar 

  28. A.F. Zakharov: In: Proc. 17th Texas Symposium on Relativistic Astrophysics, ed. H. Bohringer, G.E. Morfill, and J.E. Trumper (Annals of the New York Academy of Sciences, 1995) 759, pp. 550–553

    Google Scholar 

  29. A.F. Zakharov & S.V. Repin: Astronomy Reports, 43, 705 (1999)

    ADS  Google Scholar 

  30. A.F. Zakharov & S.V. Repin: Astronomy Reports, 46, 360 (2002)

    Article  ADS  Google Scholar 

  31. A.F. Zakharov and S.V. Repin: In: Proc. of the Eleven Workshop on General Relativity and Gravitation in Japan, ed. by J. Koga, T. Nakamura, K. Maeda, K. Tomita (Waseda University, Tokyo, 2002) pp. 68–72

    Google Scholar 

  32. A.F. Zakharov and S.V. Repin: In: Proc. of the XXXVIIth Rencontres de Moriond “The Gamma-ray Universe”, ed. by A. Goldwurm, D.N. Neumann and J. Tran Thanh Van, (The GIOI publishers, 2002) pp. 203–208

    Google Scholar 

  33. A.F. Zakharov and S.V. Repin: In: Proc. of the Tenth Lomonosov Conference on Elementary Particle Physics “Frontiers of Particle Physics”, ed. by A.I. Studenikin, (World Scientific Publishing House, Singapore, 2003) pp. 278–282

    Chapter  Google Scholar 

  34. A.F. Zakharov and S.V. Repin: In Proc. of the 214th Symposium on “High Energy Processes and Phenomena in Astrophysics”, ed. by X.D. Li, V. Trimble, Z.R. Wang, (Astronomical Society of the Pacific, 2003) pp. 97–100

    Google Scholar 

  35. A.F. Zakharov and S.V. Repin: In: Proceedings of the Third International Sakharov Conference on Physics, vol. I, ed. by A. Semikhatov, M. Vasiliev and V. Zaikin, (Scientific World, Moscow, 2003) pp. 503–511

    Google Scholar 

  36. A.F. Zakharov and S.V. Repin: In: Proceedings of the International Conference “I.Ya. Pomeranchuk and physics at the turn of centuries”, (World Scientific Publishing House, Singapore, 2004) pp. 159–170

    Google Scholar 

  37. A.F. Zakharov and S.V. Repin, Astron. & Astrophys., 406, 7 (2003)

    Article  ADS  Google Scholar 

  38. A.F. Zakharov and S.V. Repin, Astronomy Reports, 47, 733 (2003)

    Article  ADS  Google Scholar 

  39. A.F. Zakharov and S.V. Repin: Nuovo Cimento, 118B, 1193 (2003)

    ADS  Google Scholar 

  40. A.F. Zakharov: Lecture at 22nd Summer School and International Symposium on the Physics of Ionyzed Gases, to be published in AIP conference proceedings, astro-ph/0411611

    Google Scholar 

  41. A.F. Zakharov and S.V. Repin, Advances in Space Res. 34, 2544 (2004)

    Article  ADS  Google Scholar 

  42. A.F. Zakharov, N.S. Kardashev, V.N. Lukash & S.V. Repin: MNRAS, 342, 1325 (2003)

    Article  ADS  Google Scholar 

  43. A.F. Zakharov and S.V. Repin: In: “XEUS — studying the evolution of the hot universe”, ed. by G. Hasinger, Th. Boller, and A.N. Parmer (MPE Report 281, 2003) pp. 339–345

    Google Scholar 

  44. K.Y. Lo, Zh.-Q. Shen, J.-H. Zhao, P.T.P Ho: ApJL, 508, L61 (1998)

    Article  ADS  Google Scholar 

  45. K.Y. Lo, Zh.-Q. Shen, J.-H. Zhao, P.T.P Ho: In: “The Central Parsecs of the Galaxy”, ed. by H. Falcke, A. Cotera, W.J. Duschl, F. Melia, M.J. Rieke (ASP Conference Series, 1999) pp. 72–79

    Google Scholar 

  46. R. Genzel, R. Schödel, T. Ott et al.: Nature, 425, 934 (2003)

    Article  ADS  Google Scholar 

  47. A.M. Ghez et al.: ApJL, 601, L159 (2004)

    Article  ADS  Google Scholar 

  48. F.K. Baganoff et al.: Nature, 413, 45 (2001)

    Article  ADS  Google Scholar 

  49. F.C. Bower, H. Falcke, R.J. Sault & D.C. Backer: ApJ, 571, 843 (2002)

    Article  ADS  Google Scholar 

  50. F.C. Bower, M.C.H. Wright, H. Falcke & D.C. Backer: ApJ, 588, 331 (2003)

    Article  ADS  Google Scholar 

  51. F.C. Bower, H. Falcke, R.M. Herrstein et al.: Sciencexpress, www.sciencexpress.org/1 April 2004/

    Google Scholar 

  52. R. Narayan: Nature, 425, 908 (2003)

    Article  ADS  Google Scholar 

  53. E. Phahl & A. Loeb: astro-ph/0309744

    Google Scholar 

  54. F. Melia & H. Falcke: Annual Rev. A&A, 39, 309 (2001)

    Article  ADS  Google Scholar 

  55. A.M. Ghez et al.: ApJL, 586, L127 (2003)

    Article  ADS  Google Scholar 

  56. R. Schödel et al.: ApJ, 596, 1015 (2003)

    Article  ADS  Google Scholar 

  57. C.F. Gammie, S. Shapiro & J.C. McKinney: ApJ, 602, 312 (2004)

    Article  ADS  Google Scholar 

  58. J.H. Zhao, G.C. Bower & W.M. Goss: ApJL, 547, L29 (2001)

    Article  ADS  Google Scholar 

  59. S. Liu & F. Melia: ApJ, 573, L23 (2002)

    Article  ADS  Google Scholar 

  60. B. Aschenbach, N. Grosso, D. Porquet & P. Predehl: A&A, 417, 71 (2004)

    Article  ADS  Google Scholar 

  61. F. Melia, B. Bromley, S. Liu & C. Walker: ApJ, 554, L37 (2001)

    Article  ADS  Google Scholar 

  62. K.J. Johnson et al.: FAME Concept Study Report, (Washington DC: USNO, 1999)

    Google Scholar 

  63. S. Salim, A. Gould & R.P. Olling, ApJ, 573, 631 (2002)

    Article  ADS  Google Scholar 

  64. P.N. Wilkinson, R. Narayan & R.E. Spencer: MNRAS, 238, 963 (1994)

    Google Scholar 

  65. K.M. Desai & A.L. Fey: ApJS, 133, 395 (2001)

    Article  ADS  Google Scholar 

  66. N. White: Nature, 407, 146 (2000)

    Article  ADS  Google Scholar 

  67. W. Cash, A. Shipley, S. Osterman, M. Joy: Nature, 407, 160 (2000)

    Article  ADS  Google Scholar 

  68. G. Matt, G.C. Perolla & L. Stella: A&A, 267, 643 (1993)

    ADS  Google Scholar 

  69. M. Miyoshi: astro-ph/0412289

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Theoretical and Experimental Physics, B.Cheremushkinskaya st., 25, Moscow, 117259, Russia

    A.F. Zakharov

  2. Space Research Centre of Lebedev Physics Institute, Moscow

    A.F. Zakharov

  3. Joint Institute for Nuclear Research, Dubna

    A.F. Zakharov

  4. Dipartimento di Fisica Universita di Lecce and INFN, Sezione di Lecce, Italy

    A.A. Nucita, F. DePaolis & G. Ingrosso

Authors
  1. A.F. Zakharov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A.A. Nucita
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. F. DePaolis
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. G. Ingrosso
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117, Heidelberg, Germany

    Hans Volker Klapdor-Kleingrothaus

  2. Department of Physics, Texas A & M University, College Station, TX, 77807, USA

    Richard Arnowitt

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Zakharov, A., Nucita, A., DePaolis, F., Ingrosso, G. (2006). Shadow Shapes Around the Black Hole in the Galactic Centre. In: Klapdor-Kleingrothaus, H.V., Arnowitt, R. (eds) Dark Matter in Astro- and Particle Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-26373-X_7

Download citation

Publish with us

Policies and ethics

Search

Navigation