What happens in the event that the cooling radius is shorter than the virial radius of a Cold Dark Matter Halo?
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The cooling radius of a cold dark matter halo is defined to be the time at which the cooling time
t
cool
=
t
freefall
tcool=tfreefall
where
t
cool
=
ρε
Λ(T)
n
2
H
,
t
freefall
=
3π
32G(ρ+
ρ
dm
)
−
−
−
−
−
−
−
−
−
−
−
−
√
tcool=ρεΛ(T)nH2,tfreefall=3π32G(ρ+ρdm)
In the case where there is a spherical gas cloud gravitationally drawn towards a gaseous halo with the cooling radius
r
cool
>
r
virial
rcool>rvirial
, the spherical gas cloud cools rapidly and contracts rapidly, prohibiting hydrostatic equilibrium from taking place. The result is a spherical gas cloud collapsing by the free fall time
t
freefall
tfreefall
.
What actually happens then in the event that the cooling radius
r
cool
rcool
t
cool
=
t
freefall
tcool=tfreefall
where
t
cool
=
ρε
Λ(T)
n
2
H
,
t
freefall
=
3π
32G(ρ+
ρ
dm
)
−
−
−
−
−
−
−
−
−
−
−
−
√
tcool=ρεΛ(T)nH2,tfreefall=3π32G(ρ+ρdm)
In the case where there is a spherical gas cloud gravitationally drawn towards a gaseous halo with the cooling radius
r
cool
>
r
virial
rcool>rvirial
, the spherical gas cloud cools rapidly and contracts rapidly, prohibiting hydrostatic equilibrium from taking place. The result is a spherical gas cloud collapsing by the free fall time
t
freefall
tfreefall
.
What actually happens then in the event that the cooling radius
r
cool
rcool
Answered by
0
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