Burkert profile

E820923

The Burkert profile is a cored dark matter halo density model commonly used in astrophysics to describe the flat central density distributions inferred from galaxy rotation curves.

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Statements (47)

Predicate Object
instanceOf astrophysical model
dark matter halo density profile
addresses core–cusp problem
appliesTo dwarf spheroidal galaxies
late-type spiral galaxies
assumes spherical symmetry
asymptoticBehavior ρ(r) ∝ r⁻³ at large radii
category dark matter phenomenology
galactic structure models
centralDensity ρ₀
centralSlope 0
comparedWith Einasto profile NERFINISHED
isothermal sphere profile
contrastsWith Navarro–Frenk–White profile NERFINISHED
cuspy dark matter halo profiles
coreDensityRadiusProduct approximately constant across galaxies (empirical claim)
densityExpression ρ(x) = ρ₀ / [(1 + x)(1 + x²)]
describes cored dark matter halo
flat central density distribution
dimensionlessRadius x = r/r₀
fits rotation curves of dwarf galaxies
rotation curves of low surface brightness galaxies
hasCore constant-density core
hasCoreRadius r₀
hasDensityCore non-singular center
hasFunctionalForm ρ(r) = ρ₀ / [(1 + r/r₀)(1 + (r/r₀)²)]
hasParameter r₀
ρ₀
implies approximately flat rotation curves in inner regions
introducedBy Andreas Burkert NERFINISHED
introducedIn 1995
massProfile M(r) = 4π ∫₀ʳ ρ(r′) r′² dr′
mathematicalForm two-parameter density profile
motivatedBy galaxy rotation curves
namedAfter Andreas Burkert NERFINISHED
outerSlope -3
publication Burkert 1995, Astrophysical Journal Letters NERFINISHED
relatedConcept cored halo
dark matter distribution in galaxies
halo core radius
usedFor deriving dark matter halo masses
fitting observed rotation curves
mass modeling of galaxies
usedIn astrophysics
dark matter halo modeling
empirical scaling relations of dark matter halos
galaxy dynamics

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Einasto density profile comparedWith Burkert profile