Giesel, ES and Ghosh, B and SchÃ¤fer, BM (2023) Etherington duality breaking: Gravitational lensing in nonmetric spacetimes versus intrinsic alignments. In: Monthly Notices of the Royal Astronomical Society, 518 (4). pp. 54905499.

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Abstract
The Etherington distance duality relation is wellestablished 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 nonmetric spacetime 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 areametric spacetime as an example of a nonmetric spacetime, where the distance duality relation itself acquires modifications. The aim of this work is to quantify whether a surface brightness fluctuation effect due to areametric gravity would be resolvable compared to the similar effect caused by intrinsic alignment. We thus compare the auto and crosscorrelations of the angular spectra in these two cases and show that the fluctuations in intrinsic brightness can potentially be measured with a cumulative signaltonoise ratio ς ≥ 3 in a Euclidlike survey. The measurement in areametric spacetimes, however, depends on the specific parameter choices, which also determine the shape and amplitude of the spectra. While lensing surveys do have sensitivity to lensinginduced surface brightness fluctuations in areametric spacetimes, the measurement does not seem to be possible for natural values of the Etheringtonbreaking parameters.
Item Type:  Journal Article 

Publication:  Monthly Notices of the Royal Astronomical Society 
Publisher:  Oxford University Press 
Additional Information:  The copyright for this article belongs to the Authors. 
Keywords:  Astrophysics; Gravitation; Luminance; Parameter estimation; Set theory; Signal to noise ratio; Spectrum analysis; Topology, Breakings; Cosmology: theory; Dark energy; Duality relations; Gravitational lensing: weak; Large scale structure of universe; Metric spaces; Nonmetric spaces; Spacetime; Surface brightness, Galaxies 
Department/Centre:  Division of Physical & Mathematical Sciences > Physics 
Date Deposited:  15 Jun 2023 08:01 
Last Modified:  15 Jun 2023 08:01 
URI:  https://eprints.iisc.ac.in/id/eprint/81967 
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