2019
DOI: 10.1016/j.astropartphys.2019.01.005
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Constraints on the cosmic distance duality relation with simulated data of gravitational waves from the Einstein Telescope

Abstract: The cosmic distance duality relation (CDDR) has been test through several astronomical observations in the last years. This relation establishes a simple equation relating the angular diameter (DA) and luminosity (DL) distances at a redshift z, DLD −1 A (1 + z) −2 = η = 1. However, only very recently this relation has been observationally tested at high redshifts (z ≈ 3.6) by using luminosity distances from type Ia supernovae (SNe Ia) and gamma ray bursts (GRBs) plus angular diameter distances from strong grav… Show more

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Cited by 41 publications
(48 citation statements)
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“…2015;Liao et al 2016). Therefore, to some degree, Yang et al 2019 actually tested the flatness of the Universe rather than a more profound space-time nature. Also noted by us is the work by Rana et al 2017, they used 12 realistic time delay lenses to infer the D A , and compared them with D L from SNe Ia.…”
Section: Conclusion and Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…2015;Liao et al 2016). Therefore, to some degree, Yang et al 2019 actually tested the flatness of the Universe rather than a more profound space-time nature. Also noted by us is the work by Rana et al 2017, they used 12 realistic time delay lenses to infer the D A , and compared them with D L from SNe Ia.…”
Section: Conclusion and Discussionmentioning
confidence: 99%
“…There are two benefits: firstly, the propagation of GWs is unaffected by cosmic opacity; secondly, they provide the direct luminosity distances while SNe Ia in principle provide the relative dis-tances. On the other hand, the angular diameter distance ratios from strong lensing observation carry the information of D A (Liao et al 2016;Yang et al 2019). For an ideal model assuming the elliptical lens galaxy is described by a Singular Isothermal Sphere (SIS), once the Einstein radius (R E ) and the central velocity dispersion σ v are measured by the separation angle of AGN multiimages and the spectroscopy, one can infer the ratio of two angular diameter distances D A ls /D A s ∝ θ E /σ 2 v , where the subscripts l, s denote for lens and source, respectively.…”
Section: Introductionmentioning
confidence: 99%
“…More specifically, a completely model independent approach will be used to constrain cosmic opacity using the time-delay observations of strong gravitational lensing systems as standard rulers. Based on a reliable knowledge about the lensing system, i.e., the Einstein radius (from image astrometry) and stellar velocity dispersion (form central velocity dispersion obtained from spectroscopy), one can use it to derive the information of ADDs (Grillo et al 2008;Biesiada, Piórkowska, & Malec 2010;Cao, Covone & Zhu 2012;Cao et al , 2013Li et al 2016;Cao et al 2017a;Ma et al 2019), test the weak-field metric on kiloparsec scales (Cao et al 2015;Collett et al 2018), and probe the distance duality relation in a cosmological model independent approach (Liao et al 2016;Yang et al 2019). In addition, multiple images of the lensed variable sources take different time to complete their travel and the time delay is a function of the Fermat potential difference, and three angular diameter distances between the observer, lens, and source (Treu et al 2010).…”
Section: Introductionmentioning
confidence: 99%
“…When the waveform of GW are known, one can calculate the signal-to-noise ratio (SNR). The SNR plays a very crucial role in detection of the GW event, because a GW detection is confirmed if the combined SNR of at least 8 is found in the Einstein Telescope [82,83] (see also [56,57,59,84] for more details in this direction). In general, the combined SNR for the network employing three independent interferometers (just like in the Einstein Telescope) is:…”
Section: Methods Of Simulating Gw Data and Its Usementioning
confidence: 99%