Virial theorem and gravitational equilibrium with a cosmological constant
Starting from the Newtonian limit of Einstein's equations in the presence of a positive cosmological constant, we obtain a new version of the virial theorem and a condition for gravitational equilibrium. Such a condition takes the form ρ > λρvac, where ρ is the mean density of an astrophysic...
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Format: | Article |
Language: | English |
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Universidad Nacional de Colombia
2001-07-01
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Series: | Momento |
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Online Access: | https://revistas.unal.edu.co/index.php/momento/article/view/35358 |
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author | Marek Nowakowski Juan Carlos Sanabria Alejandro García |
author_facet | Marek Nowakowski Juan Carlos Sanabria Alejandro García |
author_sort | Marek Nowakowski |
collection | DOAJ |
description | Starting from the Newtonian limit of Einstein's equations in the presence of a positive cosmological constant, we obtain a new version of the virial theorem and a condition for gravitational equilibrium. Such a condition takes the form ρ > λρvac, where ρ is the mean density of an astrophysical system (e.g. galaxy, galaxy cluster or supercluster), λ is a quantity which depends only on the shape of the system, and ρvac is the vacuum density. We conclude that gravitational stability might be infiuenced by the presence of Λ depending strongly on the shape of the system. |
first_indexed | 2024-04-12T17:44:47Z |
format | Article |
id | doaj.art-f3b80deb654f489780e0e38616746ad7 |
institution | Directory Open Access Journal |
issn | 0121-4470 2500-8013 |
language | English |
last_indexed | 2024-04-12T17:44:47Z |
publishDate | 2001-07-01 |
publisher | Universidad Nacional de Colombia |
record_format | Article |
series | Momento |
spelling | doaj.art-f3b80deb654f489780e0e38616746ad72022-12-22T03:22:42ZengUniversidad Nacional de ColombiaMomento0121-44702500-80132001-07-01023213431197Virial theorem and gravitational equilibrium with a cosmological constantMarek Nowakowski0Juan Carlos Sanabria1Alejandro García2Universidad de los AndesUniversidad de los AndesUniversidad de los AndesStarting from the Newtonian limit of Einstein's equations in the presence of a positive cosmological constant, we obtain a new version of the virial theorem and a condition for gravitational equilibrium. Such a condition takes the form ρ > λρvac, where ρ is the mean density of an astrophysical system (e.g. galaxy, galaxy cluster or supercluster), λ is a quantity which depends only on the shape of the system, and ρvac is the vacuum density. We conclude that gravitational stability might be infiuenced by the presence of Λ depending strongly on the shape of the system.https://revistas.unal.edu.co/index.php/momento/article/view/35358Constante cosmológicadensidadgalaxias |
spellingShingle | Marek Nowakowski Juan Carlos Sanabria Alejandro García Virial theorem and gravitational equilibrium with a cosmological constant Momento Constante cosmológica densidad galaxias |
title | Virial theorem and gravitational equilibrium with a cosmological constant |
title_full | Virial theorem and gravitational equilibrium with a cosmological constant |
title_fullStr | Virial theorem and gravitational equilibrium with a cosmological constant |
title_full_unstemmed | Virial theorem and gravitational equilibrium with a cosmological constant |
title_short | Virial theorem and gravitational equilibrium with a cosmological constant |
title_sort | virial theorem and gravitational equilibrium with a cosmological constant |
topic | Constante cosmológica densidad galaxias |
url | https://revistas.unal.edu.co/index.php/momento/article/view/35358 |
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