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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Main Authors: Marek Nowakowski, Juan Carlos Sanabria, Alejandro García
Format: Article
Language:English
Published: Universidad Nacional de Colombia 2001-07-01
Series:Momento
Subjects:
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.
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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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AT juancarlossanabria virialtheoremandgravitationalequilibriumwithacosmologicalconstant
AT alejandrogarcia virialtheoremandgravitationalequilibriumwithacosmologicalconstant