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Teoreticheskaya i Matematicheskaya Fizika, 1983, Volume 56, Number 3, Pages 448–459 (Mi tmf2226)  

This article is cited in 1 scientific paper (total in 1 paper)

Classical inversion algorithms for spherically symmetric gravitational fields

I. V. Bogdanov
Full-text PDF (712 kB) Citations (1)
References:
Abstract: In the framework of general relativity inverse problems are formulated and solved for the classical scattering of a particle by a spherically symmetric gravitational field for fixed angular momentum, energy, and impact parameter. A hydrodynamic model of a static fluid sphere is considered. In the problems, the radial distributions of the density and pressure of the gravitating matter are recovered from classical scattering data for relativistic particles. The solution of the problems reduces to the integration of nonlinear second-order differential equations, the explicit form of which is determined by the scattering data. The constructed methods of solution can be used to obtain the distributions of matter corresponding to perfectly focusing gravitational systems. The algorithms give a unique possibility of direct determination of the internal structure of stars in astrophysics on the basis of scattering data.
Received: 01.11.1982
English version:
Theoretical and Mathematical Physics, 1983, Volume 56, Issue 3, Pages 933–941
DOI: https://doi.org/10.1007/BF01086262
Bibliographic databases:
Language: Russian
Citation: I. V. Bogdanov, “Classical inversion algorithms for spherically symmetric gravitational fields”, TMF, 56:3 (1983), 448–459; Theoret. and Math. Phys., 56:3 (1983), 933–941
Citation in format AMSBIB
\Bibitem{Bog83}
\by I.~V.~Bogdanov
\paper Classical inversion algorithms for spherically symmetric gravitational fields
\jour TMF
\yr 1983
\vol 56
\issue 3
\pages 448--459
\mathnet{http://mi.mathnet.ru/tmf2226}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=721314}
\transl
\jour Theoret. and Math. Phys.
\yr 1983
\vol 56
\issue 3
\pages 933--941
\crossref{https://doi.org/10.1007/BF01086262}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1983SL29700012}
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  • https://www.mathnet.ru/eng/tmf2226
  • https://www.mathnet.ru/eng/tmf/v56/i3/p448
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:354
    Full-text PDF :119
    References:73
    First page:1
     
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