Skip to main content
SpringerLink
Log in

A Pseudo-Newtonian Approach to Study the Accretion Processes Around Kerr Black Holes

  • Conference paper
  • First Online:
Exploring the Universe: From Near Space to Extra-Galactic

Part of the book series: Astrophysics and Space Science Proceedings ((ASSSP,volume 53))

  • 987 Accesses

Abstract

Successive developments of the Newtonian approaches are presented to study the accretion processes around black holes. A number of ways the potentials are proposed simply to avoid the complexity of the general relativistic (GR) framework. We carefully review those pseudo-potentials. The constraints and limitations, success and failure, have also been addressed. We find the pseudo-Kerr potential in Mondal and Chakrabarti (Mon Not R Astron Soc 371:1418, 2006) is one of the best for GR predictions. Using this pseudo-Kerr potential, the particle dynamics and the accretion flow hydrodynamics have also been carried out. The results are compared with the GR and percentage of accuracy are also presented briefly.

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 EPUB and 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

References

  1. Aktar, R., Das, S., Nandi, A., Sreehari, H.: Mon. Not. R. Astron. Soc. 471, 4806 (2017)

    Article  ADS  Google Scholar 

  2. Artemova, I.V., Björnsson, G., Novikov I.D.: Astrophys. J. 461, 565–571 (1996)

    Google Scholar 

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

    Article  ADS  Google Scholar 

  4. Chakrabarti, S.K.: Astrophys. J. 347, 365 (1989)

    Article  ADS  Google Scholar 

  5. Chakrabarti, S.K.: Theory of Transonic Astrophysical Flows. World Scientific, Singapore (1990)

    Book  Google Scholar 

  6. Chakrabarti, S.K.: Astrophys. J. 464, 664 (1996)

    Article  ADS  Google Scholar 

  7. Chakrabarti, S.K., Khanna, R.: Mon. Not. R. Astron. Soc. 256, 300–306 (1992)

    Article  ADS  Google Scholar 

  8. Chakrabarti, S.K., Mondal, S.: Ind. J. Phys. 79(11), 1237 (2005)

    Google Scholar 

  9. Chakrabarti, S.K., Mondal, S.: Mon. Not. R. Astron. Soc. 369, 976 (2006)

    Article  ADS  Google Scholar 

  10. Chakrabarti, S.K., Acharyya, K., Molteni, D.: Astron. Astrophys. 421, 1 (2004)

    Article  ADS  Google Scholar 

  11. Chandrasekhar, S.: Mathematical Theory of Black Holes. Oxford University Press, Oxford (1983)

    MATH  Google Scholar 

  12. Das, S., Chakrabarti, S.K., Mondal, S.: Mon. Not. R. Astron. Soc. 401, 2053 (2010)

    Article  ADS  Google Scholar 

  13. Fukue, J.: Publ. Astron. Soc. Japan 39, 309 (1987)

    ADS  Google Scholar 

  14. Ghosh, S., Mukhopadhyay, B.: Astrophys. J. 667, 367 (2007)

    Article  ADS  Google Scholar 

  15. Goldstein, H., Poole, C., Saiko, J.: Classical Mechanics, 3rd edn. Pearson Education, Singapore (2004)

    Google Scholar 

  16. Ivanov, R.I., Prodanov, E.M.: Phys. Let. B 611, 34 (2005)

    Article  ADS  Google Scholar 

  17. Lee, T., Becker, P.A.: Astrophys J. 632, 476 (2005)

    Article  ADS  Google Scholar 

  18. Lense, J., Thirring, H.: Physik. Z. 19, 156 (1918)

    Google Scholar 

  19. Lu, J.F., Chakrabarti, S.K.: Chin. Astron. Astrophys. 19, 7 (1995)

    Article  ADS  Google Scholar 

  20. Mandal, S., Mondal, S.: J. of Astrophysics and Astronomy 39, 19 (2018)

    Article  ADS  Google Scholar 

  21. Molteni, D., Sponholz, H., Chakrabarti, S.K.: Astrophys. J. 457, 805 (1996)

    Article  ADS  Google Scholar 

  22. Mondal, S.: Astrophys J. 708, 1442 (2010)

    Article  ADS  Google Scholar 

  23. Mondal, S., Chakrabarti, S.K.: Mon. Not. R. Astron. Soc. 371, 1418 (2006)

    Article  ADS  Google Scholar 

  24. Mondal, S., Chakrabarti, S.K.: Int. J. Mod. Phys. D. 16, 1381 (2007)

    Article  ADS  Google Scholar 

  25. Mondal, S., Basu, P., Chakrabarti, S.K.: Mon. Not. R. Astron. Soc. 396, 1038 (2009)

    Article  ADS  Google Scholar 

  26. Mukhopadhyay, B.: Astrophys. J. 581, 427 (2002)

    Article  ADS  Google Scholar 

  27. Mukhopadhyay, B., Misra, R.: Astrophys. J. 582, 347 (2003)

    Article  ADS  Google Scholar 

  28. Paczyǹski, B., Wiita, P.: Astron. Astrophys. 88, 23 (1980)

    Google Scholar 

  29. Ryu, D., Brown, G.L., Ostriker, J.P., Loeb, A.: Astrophys. J. 452, 364 (1995)

    Article  ADS  Google Scholar 

  30. Ryu, D., Chakrabarti, S.K., Molteni, D.: Astrophys. J. 474, 378 (2004)

    Article  ADS  Google Scholar 

  31. Semerak, O., Karas, V.: Astron. Astrophys. 343, 325 (1999)

    ADS  Google Scholar 

  32. Shakura, N.I., Sunyaev, R.A.: Astron. Astrophys. 24, 337 (1973)

    ADS  Google Scholar 

  33. Shapiro, S., Teukolsky, S.: Black Holes, Neutron Stars and White Dwarfs. Wiley, New York (1983)

    Google Scholar 

  34. Wilkins, D.C.: Phys. Rev. D 5, 814 (1972)

    Article  ADS  Google Scholar 

  35. Yang, R., Kafatos, M.: Astron. Astrophys. 295, 238 (1994)

    ADS  Google Scholar 

Download references

Acknowledgements

We are thankful to Prof. SKC for making a sustained effort to have a simple minded potential for the Kerr geometry and I am proud to be a part of it. I acknowledge Mouli Chaudhuri while preparing this brief review.

Author information

Authors and Affiliations

  1. Department of Physics, Jadavpur University, Kolkata, India

    Soumen Mondal

Authors
  1. Soumen Mondal
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Physics, Indian Institute of Science, Bangalore, India

    Banibrata Mukhopadhyay

  2. Department of Ionospheric Sciences, Indian Centre for Space Physics, Kolkata, India

    Sudipta Sasmal

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer International Publishing AG, part of Springer Nature

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Mondal, S. (2018). A Pseudo-Newtonian Approach to Study the Accretion Processes Around Kerr Black Holes. In: Mukhopadhyay, B., Sasmal, S. (eds) Exploring the Universe: From Near Space to Extra-Galactic. Astrophysics and Space Science Proceedings, vol 53. Springer, Cham. https://doi.org/10.1007/978-3-319-94607-8_16

Download citation

Publish with us

Policies and ethics

Search

Navigation