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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2013, Issue 3(32), Pages 147–184
DOI: https://doi.org/10.14498/vsgtu1230
(Mi vsgtu1230)
 

Theoretical Physics

Before getting around to do black hole physics...

V. A. Berezin

Institute for Nuclear Research, Russian Academy of Sciences, Moscow, 117312, Russia (published under the terms of the Creative Commons Attribution 4.0 International License)
References:
Abstract: The short history is presented of the very notion “black hole”. The global geometry of the general spherically symmetric space-time is described. Einstein equations for spherical gravity are derived. The causal structure of the Schwarzschild black hole is investigated, and it is shown in details how to construct conformal Carter–Penrose diagrams that reveal visually such a structure. The Israel equations for self-gravitating thin shells are obtained and the modified gravitational Newton's law is investigated. Very simple and instructive derivation of the Vaidya metrics describing the spherically symmetric gravitating radiation is given. As an application of the theory described above the problem of the real (not virtual) static Schwarzschild observer is solved.
Keywords: General Relativity, spherical gravity, thin shells, Schwarzschild manifold, Vaidya metrics.
Original article submitted 12/VI/2013
revision submitted – 21/VII/2013
Bibliographic databases:
Document Type: Article
UDC: 517.958:524.882
MSC: Primary 83C57; Secondary 83C10, 83C55, 83C05
Language: Russian
Citation: V. A. Berezin, “Before getting around to do black hole physics...”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 3(32) (2013), 147–184
Citation in format AMSBIB
\Bibitem{Ber13}
\by V.~A.~Berezin
\paper Before getting around to do black hole physics...
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2013
\vol 3(32)
\pages 147--184
\mathnet{http://mi.mathnet.ru/vsgtu1230}
\crossref{https://doi.org/10.14498/vsgtu1230}
\zmath{https://zbmath.org/?q=an:06968813|06968794}
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  • https://www.mathnet.ru/eng/vsgtu1230
  • https://www.mathnet.ru/eng/vsgtu/v132/p147
    Translation
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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    Abstract page:1053
    Full-text PDF :418
    References:130
    First page:2
     
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