2012
DOI: 10.1103/physrevd.86.083527
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Cosmic rulers

Abstract: We derive general covariant expressions for the six independent observable modes of distortion of ideal standard rulers in a perturbed Friedmann-Robertson-Walker spacetime. Our expressions are gauge invariant and valid on the full sky. These six modes are most naturally classified in terms of their rotational properties on the sphere, yielding two scalars, two vector (spin-1), and two tensor (spin-2) components. One scalar corresponds to the magnification, while the spin-2 components correspond to the shear. T… Show more

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Cited by 134 publications
(377 citation statements)
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References 35 publications
(68 reference statements)
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“…In order to relate this bispectrum to observations from large-scale structure surveys, projection effects due to photon propagation through a perturbed background need to be included. While the ruler perturbations of [50] in principle provide all the necessary projection effects, we leave the detailed calculation of these to future work. the expected term satisfying the conformal Newtonian gauge condition h ij = δ ij h 00 in the absence of anisotropic stress.…”
Section: Discussionmentioning
confidence: 99%
“…In order to relate this bispectrum to observations from large-scale structure surveys, projection effects due to photon propagation through a perturbed background need to be included. While the ruler perturbations of [50] in principle provide all the necessary projection effects, we leave the detailed calculation of these to future work. the expected term satisfying the conformal Newtonian gauge condition h ij = δ ij h 00 in the absence of anisotropic stress.…”
Section: Discussionmentioning
confidence: 99%
“…Firstly, it is known that it does not hold for tensor perturbations, this is the origin of the "metric shear" term (see e.g. Schmidt & Jeong 2012). This is not an issue in this work as we do not deal with tensor perturbations.…”
Section: Rotation To B-mode Correspondencementioning
confidence: 99%
“…We set up a map between redshift space and real space (see Fig. 1), generalizing the cosmic rulers approach of [6,15] from first to second order. The observed galaxy has conformal coordinates x µ = (η,x) = (η 0 −χ,χ n i ) in redshift space.…”
Section: Figmentioning
confidence: 99%