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Paper   IPM / Astronomy / 14100
School of Astronomy
  Title:   Relativistic virial relation for cosmological structures
1.  Reza Javadinezhad
2.  Javad Taghizadeh Firouzjaee
3.  Reza Mansouri
  Status:   Published
  Journal: Phys. Rev. D
  Year:  2016
  Supported by:  IPM
tarting 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 non-static 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

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