New Perspective on Galaxy Clustering as a Cosmological Probe: General Relativistic Effects

Details New Perspective on Galaxy Clustering as a Cosmological Probe: General Relativistic Effects New Perspective on Galaxy Clustering as a Cosmological Probe: General Relativistic Effects

2009-07-03

arxiv.org/abs/0907.0707v2

Phys.Rev.D80:083514,2009

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

10 pages, 2 figures, accepted for publication in Physical Review D

Scientific paper

10.1103/PhysRevD.80.083514

We present a general relativistic description of galaxy clustering in a FLRW universe. The observed redshift and position of galaxies are affected by the matter fluctuations and the gravity waves between the source galaxies and the observer, and the volume element constructed by using the observables differs from the physical volume occupied by the observed galaxies. Therefore, the observed galaxy fluctuation field contains additional contributions arising from the distortion in observable quantities and these include tensor contributions as well as numerous scalar contributions. We generalize the linear bias approximation to relate the observed galaxy fluctuation field to the underlying matter distribution in a gauge-invariant way. Our full formalism is essential for the consistency of theoretical predictions. As our first application, we compute the angular auto correlation of large-scale structure and its cross correlation with CMB temperature anisotropies. We comment on the possibility of detecting primordial gravity waves using galaxy clustering and discuss further applications of our formalism.

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