Etherington duality breaking: gravitational lensing in non-metric space-times versus intrinsic alignments

The Etherington distance duality relation is well-established for metric theories of gravity, and confirms the duality between the luminosity distance and the angular diameter distance through the conservation of surface brightness. A violation of the Etherington distance duality due to lensing in a...

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Hauptverfasser: Giesel, Eileen (VerfasserIn) , Ghosh, Basundhara (VerfasserIn) , Schäfer, Björn Malte (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: February 2023
In: Monthly notices of the Royal Astronomical Society
Year: 2023, Jahrgang: 518, Heft: 4, Pages: 5490-5499
ISSN:1365-2966
DOI:10.1093/mnras/stac3445
Online-Zugang:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1093/mnras/stac3445
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Verfasserangaben:Eileen Sophie Giesel, Basundhara Ghosh and Björn Malte Schäfer

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520 |a The Etherington distance duality relation is well-established for metric theories of gravity, and confirms the duality between the luminosity distance and the angular diameter distance through the conservation of surface brightness. A violation of the Etherington distance duality due to lensing in a non-metric space-time would lead to fluctuations in surface brightness of galaxies. Likewise, fluctuations of the surface brightness can arise in classical astrophysics as a consequence of intrinsic tidal interaction of galaxies with their environment. Therefore, we study these in two cases in detail: First, for intrinsic size fluctuations and the resulting changes in surface brightness, and secondly, for an area-metric space-time as an example of a non-metric space-time, where the distance duality relation itself acquires modifications. The aim of this work is to quantify whether a surface brightness fluctuation effect due to area-metric gravity would be resolvable compared to the similar effect caused by intrinsic alignment. We thus compare the auto- and cross-correlations of the angular spectra in these two cases and show that the fluctuations in intrinsic brightness can potentially be measured with a cumulative signal-to-noise ratio Σ(ℓ) ≥ 3 in a Euclid-like survey. The measurement in area-metric space-times, however, depends on the specific parameter choices, which also determine the shape and amplitude of the spectra. While lensing surveys do have sensitivity to lensing-induced surface brightness fluctuations in area-metric space-times, the measurement does not seem to be possible for natural values of the Etherington-breaking parameters. 
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