Cosmology calculator for Julia
Installation
To install the package:
julia> Pkg.add("Cosmology")
Then, to load into your session:
julia> using Cosmology
Cosmological Models
First, pick a cosmological model using the cosmology function,
which takes the following options:
| h = 0.69 | Dimensionless Hubble constant |
| OmegaK = 0 | Curvature density, Ωk |
| OmegaM = 0.29 | Matter density, Ωm |
| OmegaR = Ωγ + Ων | Radiation density, Ωr |
| Tcmb = 2.7255 | CMB temperature (K), used to compute Ωγ |
| Neff = 3.04 | Effective number of massless neutrino species, used to compute Ων |
| w0 = -1 | CPL dark energy equation of state, w = w0 + wa*(1-a) |
| wa = 0 | CPL dark energy equation of state, w = w0 + wa*(1-a) |
julia> using Cosmology
julia> c = cosmology()
FlatLCDM(0.69,0.7099122024007928,0.29,8.779759920715362e-5)
julia> c = cosmology(OmegaK=0.1)
OpenLCDM(0.69,0.1,0.6099122024007929,0.29,8.779759920715362e-5)
julia> c = cosmology(w0=-0.9, OmegaK=-0.1)
ClosedWCDM(0.69,-0.1,0.8099122024007929,0.29,8.779759920715362e-5,-0.9,0.0)
Distances
| angular_diameter_dist_mpc(cosmo, z) | Ratio of an object's proper transverse size (in Mpc) to its angular size (in radians) |
| comoving_radial_dist_mpc(cosmo, z) | Comoving radial distance to redshift z, in Mpc |
| comoving_volume_gpc3(cosmo, z) | Comoving volume out to redshift z, in Gpc3 |
| luminosity_dist_mpc(cosmo, z) | Bolometric luminosity distance, in Mpc |
| distmod(cosmo, z) | Distance modulus, in units of magnitude |
julia> using Cosmology
julia> c = cosmology(OmegaM=0.26)
FlatLCDM(0.69,0.7399122024007928,0.26,8.779759920715362e-5)
julia> angular_diameter_dist_mpc(c, 1.2)
1784.0089227105118
Times
| age_gyr(cosmo, z) | Age of the universe at redshift z, in Gyr |
| lookback_time_gyr(cosmo, z) | Difference between age at redshift 0 and age at redshift z, in Gyr |
julia> using Cosmology
julia> c = cosmology(OmegaM=0.26)
FlatLCDM(0.69,0.7399122024007928,0.26,8.779759920715362e-5)
julia> age_gyr(c, 1.2)
5.445600787626434
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