The linear power spectrum of observed source number counts

By A. Challinor, A. Lewis. 2011

419 citations recorded by the source corpus.

We relate the observable number of sources per solid angle and redshift to the underlying proper source density and velocity, background evolution and line-of-sight potentials. We give an exact result in the case of linearized perturbations assuming general relativity. This consistently includes contributions of the source density perturbations and redshift distortions, magnification, radial displacement, and various additional linear terms that are small on sub-horizon scales. In addition we calculate the effect on observed luminosities, and hence the result for sources observed as a function of flux, including magnification bias and radial-displacement effects. We give the corresponding linear result for a magnitude-limited survey at low redshift, and discuss the angular power spectrum of the total count distribution. We also calculate the cross-correlation with the CMB polarization and temperature including Doppler source terms, magnification, redshift distortions and other velocity effects for the sources, and discuss why the contribution of redshift distortions is generally small. Finally we relate the result for source number counts to that for the brightness of line radiation, for example 21-cm radiation, from the sources.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/58251386ec214098556a3939e9bc0a0697a928dd

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Citations in the corpus

Single-field consistency relations of large scale structure part II: resummation and redshift space (2013, background): “ the Newtonian and relativistic eﬀects which relate the correlation functions of the density contrast and the velocity with the actual measurement of the galaxy position and redshift (see for example [7, 8, 9, 10]). The next natural step would be to write consistency relations for the observed quant”
Galaxy Bias and non-Linear Structure Formation in General Relativity (2011, result): “[40, 41, 42, 30] appeared which treat problems similar to ours and reach similar conclusions where there is overlap with our study.”
Cosmological constraints from cosmic shear two-point correlation functions with HSC survey first-year data (2019, methodology): “We would like to thank Martin Kilbinger for making the software Athena publicly available, Antony Lewis and Anthony Challinor for making the software CAMB publicly available, MultiNest developers for MultiNest publicly available, and HEALPix team for HEALPix software publicity available.”
The CLASSgal code for relativistic cosmological large scale structure (2013, methodology): “Similar comparisons have been presented in [11, 12] with a lower `max and different choices of redshift and window functions.”
Probing primordial non-Gaussianity with SKA galaxy redshift surveys: a fully relativistic analysis (2014, methodology): “The remaining relativistic contributions are both local and integrated terms (Yoo et al. 2009; Yoo 2010; Bonvin & Durrer 2011; Challinor & Lewis 2011; Jeong et al. 2012; Bertacca et al. 2012), namely δobsg = (b+∆b)δcs− (1 + z) H (ni∂i) 2V −2 (1−Q)κ+δloc+δint.”
Cosmology with Phase 1 of the Square Kilometre Array Red Book 2018: Technical specifications and performance forecasts (2018, methodology): “Briefly, the mock catalogues assumed an angular power spectrum of the radio galaxies generated by CAMB sources (Challinor & Lewis 2011), assuming the Planck best-fit flat CDM model (Planck Collaboration et al. 2016a).”
H i intensity mapping: a single dish approach (2012, background): “…the values in an unperturbed universe, that is, we ignore the effects of peculiar velocities, which will lead to redshift space distortions that could be important on small scales, and the Sachs-Wolfe effects which could be important on large scales (Challinor & Lewis 2011; Bonvin & Durrer 2011).”
Cosmology and Fundamental Physics with the Euclid Satellite (2012, background): “The full expression for C`(z1, z2) are found in [210, 84, 415], see also [298, 1267, 1266].”