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Comparison of the Spatial Properties of Entrances to Black Holes and Wormholes

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Abstract

The spatial properties of the entrances to spherically symmetric black holes and wormholes with zero and positive masses are compared. The properties were studied in terms of bulk and brane. The explicit expressions for the entrances are found and it is shown that in both representations the spatial funnels of the entrances to the wormholes are the steepest for the Schwarzschild black holes, and the least steep for the wormholes with zero mass.

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REFERENCES

  1. Ya. B. Zeldovich and I. D. Novikov, Relativistic Astrophysics (Chicago Univ. Press, Chicago, 1983).

    Google Scholar 

  2. V. Frolov and I. Novikov, Black Hole Physics. Basic Concepts and New Developments (Kluwer Academic, Norwell, MA, 1998).

    MATH  Google Scholar 

  3. I. D. Novikov, N. S. Kardashev, and A. A. Shatskii, Phys. Usp. 50, 965 (2007).

    ADS  Google Scholar 

  4. S. V. Repin, D. A. Kompaneets, I. D. Novikov, and V. A. Mityagina, arXiv: 1802.04667 [gr-qc] (2018).

  5. C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation (Freeman, San Francisco, 1973).

    Google Scholar 

  6. K. Thorne, The Science of Interstellar (W. W. Norton, New York, 2014).

    Google Scholar 

  7. R. Shaikh and S. Kar, Phys. Rev. D 96, 044037 (2017); arXiv:1705.11008 [gr-qc].

  8. N. Tsukamoto, Phys. Rev. D 101, 104021 (2020); a-rXiv:2004.00822v2 [gr-qc].

  9. L. D. Landau and E. M. Lifshitz, The Course of Theoretical Physics, Vol. 2: The Classical Theory of Fields, 3rd ed. (Pergamon, Oxford, 1971).

    MATH  Google Scholar 

  10. M. S. Morris and K. S. Thorne, Am. J. Phys. 56, 395 (1988).

    Article  ADS  Google Scholar 

  11. H. Ellis, J. Math. Phys. 14, 104 (1973).

    Article  ADS  Google Scholar 

  12. K. A. Bronnikov, G. Clément, C. P. Constantinidis, and J. C. Fabris, Phys. Lett. A 243, 121 (1998).

    Article  ADS  MathSciNet  Google Scholar 

  13. K. A. Bronnikov, Acta Phys. Polon. 84, 251 (1973).

    Google Scholar 

  14. A. G. Doroshkevich, N. S. Kardashev, D. I. Novikov, and I. D. Novikov, Astron. Rep. 52, 616 (2008).

    Article  ADS  Google Scholar 

Download references

ACKNOWLEDGMENTS

S.R. thanks R.E. Beresneva, O.N. Sumenkova, and O.A. Kosareva for the opportunity to work fruitfully on this problem.

Funding

This activity has been partially supported by the KP19-270 RAS program “Issues of the Origin and Evolution of the Universe Using the Methods of Ground-Based Observations and Space Research”.

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Correspondence to S. V. Repin.

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Novikov, I.D., Repin, S.V. Comparison of the Spatial Properties of Entrances to Black Holes and Wormholes. Astron. Rep. 65, 1–7 (2021). https://doi.org/10.1134/S1063772920330021

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  • DOI: https://doi.org/10.1134/S1063772920330021

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