Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Relativistic Angular Redshift Fluctuations embedded in Large Scale
  Varying Gravitational Potentials   We compute the linear order, general relativistic corrections to angular
redshift fluctuations (ARF), a new cosmological observable built upon
density-weighted two-dimensional (2D) maps of galaxy redshifts. We start with
an existing approach for galaxy/source counts developed in the Newtonian gauge,
and generalize it to ARF, modifying for this purpose a standard Boltzmann code.
Our calculations allow us identifying the velocity terms as the leading
corrections on large scales, emphasizing the sensitivity of ARF to peculiar,
cosmological velocity fields. Just like for standard 2D clustering, the impact
of gravitational lensing on ARF is dominant on small angular scales and for
wide redshift shells, while the signatures associated to gravitational
potentials are extremely small and hardly detectable. The ARF also present
interesting correlation properties to anisotropies of the Cosmic Microwave
Background (CMB): they are highly correlated to CMB lensing potential
fluctuations, while also exhibiting a significant (S/N$\sim 4$-$5$) {\em
anti-}correlation with the Integrated Sachs-Wolfe effect (ISW). This negative
ARF$\times$ISW signal is quite complementary to the standard 2D
clustering$\times$ISW correlation, since the former appears mostly at higher
redshift ($z\sim 2$) than the latter ($z\lesssim 1)$, and the combination of
the two observables significantly increases the $\chi^2$ statistics testing the
null (no ISW) hypothesis. We conclude that ARF constitute a novel, alternative,
and potentially powerful tool to constrain the nature of Dark Energy component
that gives rise to the ISW.

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The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
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The categories of this paper are: atom-ph
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The categories of this paper are: nlin
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The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: physics
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The categories of this paper are: gr-qc
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The categories of this paper are: funct-an
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The categories of this paper are: math
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The categories of this paper are: hep-lat