2017/04/30 by Sang Gyu Biern, Jaiyul Yoo · 1 citation
Physics and Astronomy · #Astronomy #Astrophysics #Black Holes and Theoretical Physics #Correlation function (quantum field theory) #Cosmological perturbation theory #Cosmology #Cosmology and Gravitation Theories #Galaxies: Formation, Evolution, Phenomena #Galaxy #Gravitational lens #Gravitational lensing formalism #Luminosity #Luminosity distance #Perturbation (astronomy) #Perturbation theory (quantum mechanics) #Physics #Quantum mechanics #Redshift #Strong gravitational lensing #Weak gravitational lensing #astro-ph.CO #gr-qc
paper · pdf · doi:10.1088/1475-7516/2017/09/026
published as JCAP09(2017)026 · 18 pages, 8 figures
arxiv created 2017/09/18 · openalex publication_date 2017/09/18 · arxiv updated 2017/09/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present the correlation function of the luminosity distances in a flat ΛCDM universe. Decomposing the luminosity distance fluctuation into the velocity, the gravitational potential, and the lensing contributions in linear perturbation theory, we study their individual contributions to the correlation function. The lensing contribution is important at large redshift ( z ≳ 0.5) but only for small angular separation (θ ≲ 3°), while the velocity contribution dominates over the other contributions at low redshift or at larger separation. However, the gravitational potential contribution is always subdominant at all scale, if the correct gauge-invariant expression is used. The correlation function of the luminosity distances depends significantly on the matter content, especially for the lensing contribution, thus providing a novel tool of estimating cosmological parameters.