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 and gt; λρvac, where ρ is the mean density of an astrophy...

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Autores:
Nowakowski, Marek
Sanabria, Juan Carlos
García, Alejandro
Tipo de recurso:
Article of journal
Fecha de publicación:
2001
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/70649
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/70649
http://bdigital.unal.edu.co/35119/
Palabra clave:
Constante cosmológica
densidad
galaxias
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
Description
Summary: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 and gt; 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.