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Newtonian analogue of a Kerr black hole

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Newtonian analogue of a Kerr black hole
Eleni, A. Apostolatos, T.A.
scientific_publication_article
Επιστημονική δημοσίευση - Άρθρο Περιοδικού (EL)
Scientific publication - Journal Article (EN)
2020
A 250-year-old Newtonian problem, first studied by Euler, turns out to share a lot of similarities with the most extreme astrophysical relativistic object, the Kerr black hole. Although the framework behind the two fields is completely different, both problems are related to gravitational fields that have quite intriguing analogies with respect to orbital motions of a test body within them. The fundamental reason behind their extraordinary similarity is the integrability of both problems, as well as their common multipolar structure. In this paper, we demonstrate the existence of a multitude of qualitative, and sometimes quantitative, similarities between the two problems. Based on this analogy, one could use the Newtonian problem to get insight in cases where the relativistic treatment of the field of a Kerr black hole becomes quite complicated. © 2020 American Physical Society. (EN)
English
Ερευνητικό υλικό ΕΚΠΑ
https://creativecommons.org/licenses/by-nc/4.0/
University of Athens
Pergamos Digital Library
Journal Article



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