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Relativistic virial relation for cosmological structures
Javadinezhad, R ; Sharif University of Technology
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- Type of Document: Article
- DOI: 10.1103/PhysRevD.93.023007
- Publisher: American Physical Society
- Abstract:
- Starting with the relativistic Boltzmann equation for a system of particles defined by a distribution function, we have derived the virial relation for a spherical structure within an expanding background in the context of general relativity. This generalized form of the virial relation is then applied to the static case of a spherically symmetric structure to see the difference in the simplest case to the Newtonian relation. A relativistic mass-temperature relation for this simple case is also derived which can be applied to compact objects in astrophysics. Our general virial relation is then applied to the nonstatic case of a structure within an expanding universe where an extra term, usually missed in studies of structures in the presence of the dark energy, appears
- Keywords:
- Source: Physical Review D - Particles, Fields, Gravitation and Cosmology ; Volume 93, Issue 2 , 2016 ; 15507998 (ISSN)
- URL: https://journals.aps.org/prd/abstract/10.1103/PhysRevD.93.023007
