Skip to main content

Part of the book series: SpringerBriefs in Physics ((SpringerBriefs in Physics))

  • 672 Accesses

Abstract

It seems using double standards in physics can explain why in recent years physicists have started to talk about black holes as something established and accepted (by not interpreting “infinite time” as “never”), whereas, according to the Schwarzschild solution of the Einstein equation, black holes will never form for distant observers (like all of us) since they require infinite time for that (in the case of light, the “infinite time” needed for it to leave a black hole has been interpreted by the same physicists to mean “never”); black holes require finite time to form only for observers falling together with the collapsing star.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 59.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Notes

  1. 1.

    According to different accounts, the term “black hole” had been introduced in the sixties of the last century either by Wheeler or Dicke (Dicke compared that spacetime region to a prison in India called the Black Hole, because no one who entered it left it alive).

  2. 2.

    In addition to this problem, Papapetrou also and particularly emphasizes the serious anomaly on the Schwarzschild sphere, whose physical meaning, I think, has not been thoroughly examined [10]:

    But these geodesics are space-like for \( r > 2m \) and time-like for \( r < 2m \). The tangent vector of a geodesic undergoes parallel transport along the geodesic and consequently it cannot change from a time-like to a space-like vector. It follows that the two regions \( r > 2m \) and \( r < 2m \) do not join smoothly on the surface \( r = 2m \).

    .

  3. 3.

    The other (relevant) one was mentioned in the previous chapter—the Nobel Prize in Physics for 1993 whose reason for awarding the Prize was also carefully and correctly worded: “for the discovery of a new type of pulsar, a discovery that has opened up new possibilities for the study of gravitation.”

References

  1. A. Einstein, Die Grundlage der allgemeinen Relativitätstheorie. Annalen der Physik, 49 (1916). New publication of the original English translation ([2]) in [3]

    Google Scholar 

  2. A. Einstein, The foundation of the general theory of relativity, in The Principle of Relativity: A Collection of Original Memoirs on the Special and General Theory of Relativity, eds. by H.A. Lorentz, A. Einstein, H. Minkowski, H. Weyl. With Notes by A. Sommerfeld. Translated by W. Perrett, G.B. Jeffery (Methuen and Company, Ltd., 1923; reprinted by Dover Publications Inc., 1952)

    Google Scholar 

  3. The Origin of Spacetime Physics, Foreword by A. Ashtekar, Ed. by V. Petkov (Minkowski Institute Press, Montreal, 2020)

    Google Scholar 

  4. K. Schwarzschild, On the gravitational field of a mass point according to Einstein’s theory. Sitzungsber. K. Preuss. Akad. Wiss. 1, 189 (1916)

    Google Scholar 

  5. D. Finkelstein, Past-future asymmetry of the gravitational field of a point particle. Phys. Rev. 110, 965 (1958)

    Article  ADS  Google Scholar 

  6. M.D. Kruskal, Maximal extension of schwarzschild metric. Phys. Rev. 119, 1743 (1960)

    Article  ADS  MathSciNet  Google Scholar 

  7. Robert Geroch, What is a singularity in general relativity? Ann. Phys. 48, 526–540 (1968)

    Article  ADS  Google Scholar 

  8. A. Einstein, On a stationary system with spherical symmetry consisting of many gravitating masses, The Annals of Mathematics, Second Series, vol. 40, No. 4 (1939), pp. 922–936

    Google Scholar 

  9. P.O. Hess, M. Schäfer, W. Greiner, Pseudo-Complex General Relativity (Springer, Heidelberg, 2016)

    Book  Google Scholar 

  10. A. Papapetrou, Lectures on General Relativity (Reidel, Dordrecht, 1974), pp. 85–86

    Book  Google Scholar 

  11. P.A.M. Dirac, General Theory of Relativity (Princeton University Press, Princeton, 1996), pp. 35–36

    Book  Google Scholar 

  12. J.R. Oppenheimer, H. Snyder, On continued gravitational contraction. Phys. Rev. 56, 455 (1939)

    Article  ADS  MathSciNet  Google Scholar 

  13. https://www.nobelprize.org/prizes/physics/2020/summary/

  14. R. Penrose, Gravitational collapse and space-time singularities. Phys. Rev. Lett. 14, 18 (1965)

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Vesselin Petkov .

Rights and permissions

Reprints and permissions

Copyright information

© 2021 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Petkov, V. (2021). Black Holes. In: Seven Fundamental Concepts in Spacetime Physics. SpringerBriefs in Physics. Springer, Cham. https://doi.org/10.1007/978-3-030-75638-3_7

Download citation

Publish with us

Policies and ethics