English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We present a coherent theoretical framework for computing gravitationallensing effects and redshift-space distortions in an inhomogeneous universe andinvestigate their impacts on galaxy two-point statistics. Adopting thelinearized FRW metric, we derive the gravitational lensing and the generalizedSachs-Wolfe effects that include the weak lensing distortion, magnification,and time delay effects, and the redshift-space distortion, Sachs-Wolfe, andintegrated Sachs-Wolfe effects, respectively. Based on this framework, we firstcompute their effects on observed source fluctuations, separating them as twophysically distinct origins: the volume effect that involves the change ofvolume and is always present in galaxy two-point statistics, and the sourceeffect that depends on the intrinsic properties of source populations. Then weidentify several terms that are ignored in the standard method, and we computethe observed galaxy two-point statistics, an ensemble average of all thecombinations of the intrinsic source fluctuations and the additionalcontributions from the gravitational lensing and the generalized Sachs-Wolfeeffects. This unified treatment of galaxy two-point statistics clarifies therelation of the gravitational lensing and the generalized Sachs-Wolfe effectsto the metric perturbations and the underlying matter fluctuations. For nearfuture dark energy surveys, we compute additional contributions to the observedgalaxy two-point statistics and analyze their impact on the anisotropicstructure. Thorough theoretical modeling of galaxy two-point statistics wouldbe not only necessary to analyze precision measurements from upcoming darkenergy surveys, but also provide further discriminatory power in understandingthe underlying physical mechanisms.

Complete Treatment of Galaxy Two-Point Statistics: Gravitational Lensing Effects and Redshift-Space Distortions