Included Cosmology Realizations#

A number of preloaded cosmologies are available from analyses using the WMAP and Planck satellite data. The full list of the predefined cosmologies is given by cosmology.realizations.available and summarized below:

Name

Source

H0

Om

Flat

WMAP 1 Year

Spergel et al. 2003

72.0

0.257

Yes

WMAP 3 Year

Spergel et al. 2007

70.1

0.276

Yes

WMAP 5 Year

Komatsu et al. 2009

70.2

0.277

Yes

WMAP 7 Year

Komatsu et al. 2011

70.4

0.272

Yes

WMAP 9 Year

Hinshaw et al. 2013

69.3

0.287

Yes

Planck 2013

Planck Collab 2013, Paper XVI

67.8

0.307

Yes

Planck 2015

Planck Collab 2015, Paper XIII

67.7

0.307

Yes

Planck 2018

Planck Collab 2018, Paper VI

67.7

0.310

Yes

Currently, all are instances of FlatLambdaCDM. More details about exactly where each set of parameters comes from are available in the docstring for each object and described below:

>>> from astropy.cosmology import WMAP7
>>> print(WMAP7.__doc__)
WMAP7 instance of FlatLambdaCDM cosmology
(from Komatsu et al. 2011, ApJS, 192, 18, doi: 10.1088/0067-0049/192/2/18.
 Table 1 (WMAP + BAO + H0 ML).)

Planck 2018#

The parameters are from Planck Collaboration (2020) Table 2 (TT, TE, EE + lowE + lensing + BAO) [P18].

Note

The Planck 2018 paper includes massive neutrinos in Om0 but the Planck18 object includes them in m_nu instead for consistency. Hence, the Om0 value in Planck18 differs slightly from the Planck 2018 paper but represents the same cosmological model.

Metadata#

Oc0

Omega cold dark matter at z=0

n

Density perturbation spectral index

sigma8

Density perturbation amplitude

tau

Ionisation optical depth

z_reion

Redshift of hydrogen reionisation

t0

Age of the universe in Gyr

reference

Reference for the parameters

References#

[P18]

Planck Collaboration, et. al. (2020). Planck 2018 results. VI. Cosmological parameters. Astronomy & Astrophysics, 641, A6. https://ui.adsabs.harvard.edu/abs/2020A%26A…641A…6P/abstract

Planck 2015#

Parameters are from Planck Collaboration (2016) Paper XIII, Table 4 (TT, TE, EE + lowP + lensing + ext) [P15].

Metadata#

Oc0

Omega cold dark matter at z=0

n

Density perturbation spectral index

sigma8

Density perturbation amplitude

tau

Ionisation optical depth

z_reion

Redshift of hydrogen reionisation

t0

Age of the universe in Gyr

reference

Reference for the parameters

References#

[P15]

Planck Collaboration, et. al. (2016). Planck 2015 results. XIII. Cosmological parameters. Astronomy & Astrophysics, 594, A13. https://ui.adsabs.harvard.edu/abs/2016A%26A…594A..13P/abstract

Planck 2013#

Parameters are from Planck Collaboration (2014) Paper XVI, Table 5 (Planck + WP + highL + BAO) [P13].

Metadata#

Oc0

Omega cold dark matter at z=0

n

Density perturbation spectral index

sigma8

Density perturbation amplitude

tau

Ionisation optical depth

z_reion

Redshift of hydrogen reionisation

t0

Age of the universe in Gyr

reference

Reference for the parameters

References#

[P13]

Planck Collaboration, et. al. (2014). Planck 2013 results. XVI. Cosmological parameters. Astronomy & Astrophysics, 571, A16. https://ui.adsabs.harvard.edu/abs/2014A%26A…571A..16P/abstract

WMAP 9 Year#

Parameters are from Hinshaw et al. (2013) Table 4 (WMAP9 + eCMB + BAO + H0) [WM9].

Metadata#

Oc0

Omega cold dark matter at z=0

n

Density perturbation spectral index

sigma8

Density perturbation amplitude

tau

Ionisation optical depth

z_reion

Redshift of hydrogen reionisation

t0

Age of the universe in Gyr

reference

Reference for the parameters

References#

[WM9]

Hinshaw, G., Larson, D., Komatsu, E., Spergel, D., Bennett, C., Dunkley, J., Nolta, M., Halpern, M., Hill, R., Odegard, N., Page, L., Smith, K., Weiland, J., Gold, B., Jarosik, N., Kogut, A., Limon, M., Meyer, S., Tucker, G., Wollack, E., & Wright, E. (2013). Nine-year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results. The Astrophysical Journal Supplement, 208(2), 19. https://ui.adsabs.harvard.edu/abs/2014A%26A…571A..16P/abstract

WMAP 7 Year#

Parameters are from Komatsu et al. (2011) Table 1 (WMAP + BAO + H0 ML) [WM7].

Metadata#

Oc0

Omega cold dark matter at z=0

n

Density perturbation spectral index

sigma8

Density perturbation amplitude

tau

Ionisation optical depth

z_reion

Redshift of hydrogen reionisation

t0

Age of the universe in Gyr

reference

Reference for the parameters

References#

[WM7]

Komatsu, E., Smith, K., Dunkley, J., Bennett, C., Gold, B., Hinshaw, G., Jarosik, N., Larson, D., Nolta, M., Page, L., Spergel, D., Halpern, M., Hill, R., Kogut, A., Limon, M., Meyer, S., Odegard, N., Tucker, G., Weiland, J., Wollack, E., & Wright, E. (2011). Seven-year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation. The Astrophysical Journal Supplement, 192(2), 18. https://ui.adsabs.harvard.edu/abs/2011ApJS..192…18K/abstract

WMAP 5 Year#

Parameters are from Komatsu et al. (2009) Table 1 (WMAP + BAO + SN ML) [WM5].

Metadata#

Oc0

Omega cold dark matter at z=0

n

Density perturbation spectral index

sigma8

Density perturbation amplitude

tau

Ionisation optical depth

z_reion

Redshift of hydrogen reionisation

t0

Age of the universe in Gyr

reference

Reference for the parameters

References#

[WM5]

Komatsu, E., Dunkley, J., Nolta, M., Bennett, C., Gold, B., Hinshaw, G., Jarosik, N., Larson, D., Limon, M., Page, L., Spergel, D., Halpern, M., Hill, R., Kogut, A., Meyer, S., Tucker, G., Weiland, J., Wollack, E., & Wright, E. (2009). Five-Year Wilkinson Microwave Anisotropy Probe Observations: Cosmological Interpretation. The Astrophysical Journal Supplement, 180(2), 330-376. https://ui.adsabs.harvard.edu/abs/2009ApJS..180..330K/abstract

WMAP 3 Year#

Parameters are from Spergel et al. (2007) Table 6 (WMAP + SNGold) [WM3], obtained from https://lambda.gsfc.nasa.gov/product/map/dr2/params/lcdm_wmap_sngold.cfm. Tcmb0 and Neff are the standard values as also used for WMAP 5 Year, WMAP 7 Year, WMAP 9 Year.

Note

Pending WMAP team approval and subject to change.

Metadata#

Oc0

Omega cold dark matter at z=0

n

Density perturbation spectral index

sigma8

Density perturbation amplitude

tau

Ionisation optical depth

z_reion

Redshift of hydrogen reionisation

t0

Age of the universe in Gyr

reference

Reference for the parameters

References#

[WM3]

Spergel, D., Bean, R., Doré, O., Nolta, M., Bennett, C., Dunkley, J., Hinshaw, G., Jarosik, N., Komatsu, E., Page, L., Peiris, H., Verde, L., Halpern, M., Hill, R., Kogut, A., Limon, M., Meyer, S., Odegard, N., Tucker, G., Weiland, J., Wollack, E., & Wright, E. (2007). Three-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Implications for Cosmology. The Astrophysical Journal Supplement, 170(2), 377-408. https://ui.adsabs.harvard.edu/abs/2007ApJS..170..377S/abstract

WMAP 1 Year#

Parameters are from Spergel et al. (2003) Table 7 (WMAP + CBI + ACBAR + 2dFGRS + Lya) [WM1]. Tcmb0 and Neff are the standard values as also used for WMAP 5 Year, WMAP 7 Year, WMAP 9 Year.

Note

Pending WMAP team approval and subject to change.

Metadata#

Oc0

Omega cold dark matter at z=0

n

Density perturbation spectral index

sigma8

Density perturbation amplitude

tau

Ionisation optical depth

z_reion

Redshift of hydrogen reionisation

t0

Age of the universe in Gyr

reference

Reference for the parameters

References#

[WM1]

Spergel, D., Verde, L., Peiris, H., Komatsu, E., Nolta, M., Bennett, C., Halpern, M., Hinshaw, G., Jarosik, N., Kogut, A., Limon, M., Meyer, S., Page, L., Tucker, G., Weiland, J., Wollack, E., & Wright, E. (2003). First-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters. The Astrophysical Journal Supplement, 148(1), 175-194. https://ui.adsabs.harvard.edu/abs/2003ApJS..148..175S/abstract

Reference/API#

astropy.cosmology.realizations Module#

Classes#

default_cosmology()

The default cosmology to use.

Variables#

available

Built-in immutable sequence.

WMAP1

WMAP1 instance of FlatLambdaCDM cosmology (from Spergel et al. 2003, ApJS, 148, 175, doi: 10.1086/377226.

WMAP3

WMAP3 instance of FlatLambdaCDM cosmology (from Spergel et al. 2007, ApJS, 170, 377, doi: 10.1086/513700.

WMAP5

WMAP5 instance of FlatLambdaCDM cosmology (from Komatsu et al. 2009, ApJS, 180, 330, doi: 10.1088/0067-0049/180/2/330.

WMAP7

WMAP7 instance of FlatLambdaCDM cosmology (from Komatsu et al. 2011, ApJS, 192, 18, doi: 10.1088/0067-0049/192/2/18.

WMAP9

WMAP9 instance of FlatLambdaCDM cosmology (from Hinshaw et al. 2013, ApJS, 208, 19, doi: 10.1088/0067-0049/208/2/19.

Planck13

Planck13 instance of FlatLambdaCDM cosmology (from Planck Collaboration 2014, A&A, 571, A16 (Paper XVI), Table 5 (Planck + WP + highL + BAO))

Planck15

Planck15 instance of FlatLambdaCDM cosmology (from Planck Collaboration 2016, A&A, 594, A13 (Paper XIII), Table 4 (TT, TE, EE + lowP + lensing + ext))

Planck18

Planck18 instance of FlatLambdaCDM cosmology (from Planck Collaboration 2018, 2020, A&A, 641, A6 (Paper VI), Table 2 (TT, TE, EE + lowE + lensing + BAO))

Class Inheritance Diagram#

Inheritance diagram of astropy.cosmology.realizations.default_cosmology