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A remarkable connection between the Jeans’ theory of gravitational instabilities and the Newtonian limit of the General Theory of Relativity
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SYSNO ASEP 0574267 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název A remarkable connection between the Jeans’ theory of gravitational instabilities and the Newtonian limit of the General Theory of Relativity Tvůrce(i) Křížek, Michal (MU-W) RID, SAI, ORCID
Mészáros, A. (CZ)Zdroj.dok. Bulgarian astronomical journal - ISSN 1313-2709
Roč. 39, July (2023), s. 28-35Poč.str. 8 s. Jazyk dok. eng - angličtina Země vyd. BG - Bulharsko Klíč. slova gravitational potential ; Jean's theory ; Newtonian limit ; Poisson equation Vědní obor RIV BN - Astronomie a nebeská mechanika, astrofyzika Obor OECD Astronomy (including astrophysics,space science) Způsob publikování Open access Institucionální podpora MU-W - RVO:67985840 UT WOS 000993283700001 EID SCOPUS 85153179807 Anotace We investigate both the Newtonian limit of the General Theory of Relativity and the Jeans’ theory of gravitational instabilities in order to obtain some new conclusions on these two classical topics. We use the standard method for calculating the Ricci tensor by means of the Christoffel symbols of the second kind in the Newtonian limit. We assume that both the gravitational potential and the mean mass density can depend on time. The density of the non-relativistic dust can also be time dependent. As an impact on the Jeans’ theory, we confirm that the modifications done by Lifshitz in 1946 and by Bonnor in 1957 are perfect and hold. In the Poisson equation the time dependence of both sides is an original new development. The application of this on the Jeans’ theory is then straightforward. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2024 Elektronická adresa https://astro.bas.bg/AIJ/issues/n39/MKrizek.pdf
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