Email this article Before getting around to do black hole physics
- Authors: Berezin V.A1
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Affiliations:
- Institute for Nuclear Research, Russian Academy of Sciences
- Issue: Vol 17, No 4 (2013)
- Pages: 138-172
- Section: Articles
- URL: https://journal-vniispk.ru/1991-8615/article/view/21022
- DOI: https://doi.org/10.14498/vsgtu1249
- ID: 21022
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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 if the real (not virtual) static Schwarzschild observer is solved. The essay is prepared following a series of lectures, read by the author at the Third International Conference “Mathematical Physics and Its Applications” (August 27 — September 1, 2012, Samara, Russia) Translated from Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 2013, Issue 3(32), Pages 147–184; DOI: 10.14498/vsgtu1230.
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##article.viewOnOriginalSite##About the authors
Victor A Berezin
Institute for Nuclear Research, Russian Academy of Sciences
Email: berezin@ms2.inr.ac.ru
7a, 60th October Anniversary pr., Moscow, 117312, Russia
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