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The measurement of the Hubble constant $H_0$ plays a central role in modern cosmology. In this work, we investigate the potential of strongly lensed gravitational-wave (SLGW) signals from massive binary black hole mergers to constrain $H_0$…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-28 Yong Yuan , Minghui Du , Wen-Fan Feng , Benyang Zhu , Qing Diao , Peng Xu , Xilong Fan

The different regimes of gravitational lensing constitutes an interesting tool in order to map the mass distribution in galaxy clusters on different scales. In this proceedings article, I review some work I have performed on this topic.…

Astrophysics · Physics 2008-07-18 Marceau Limousin

Observed time delays between images of a lensed QSO lead to the determination of the Hubble constant by Refsdal's method, provided the mass distribution in the lensing galaxy is reasonably well known. Since the two or four QSO images…

Astrophysics · Physics 2009-10-31 Liliya L. R. Williams , Prasenjit Saha

In this Letter we present calibrated observations of the average mass of galaxies with 22< I < 25 in the Hubble Deep Field. We measure the mean mass profile using the statistical gravitational lens distortion of faint blue background…

Astrophysics · Physics 2009-10-28 Ian P. Dell'Antonio , J. Anthony Tyson

We determine the cosmic expansion rate from supernovae of type Ia to set up a data-based distance measure that does not make assumptions about the constituents of the universe, i.e. about a specific parametrisation of a Friedmann…

Cosmology and Nongalactic Astrophysics · Physics 2019-10-09 Jenny Wagner , Sven Meyer

We study gravitational lensing by clusters of galaxies in the context of the generic class of unconventional gravity theories of the scalar--tensor type. For positive energy scalar fields with any dynamics, the bending of light by a weakly…

Astrophysics · Physics 2010-11-01 Jacob D. Bekenstein , Robert H. Sanders

With a fantastic sensitivity improving significantly over the advanced GW detectors, Einstein Telescope (ET) will be able to observe hundreds of thousand inspiralling double compact objects per year. By virtue of gravitational lensing…

High Energy Astrophysical Phenomena · Physics 2018-03-07 Xuheng Ding , Marek Biesiada , Zong-Hong Zhu

Like light, gravitational waves can be gravitationally lensed by massive astrophysical objects. Strong gravitational lensing by galaxies and galaxy clusters is anticipated to become observable in the coming years. This phenomenon will…

General Relativity and Quantum Cosmology · Physics 2025-06-03 Leo C. Y. Ng , Justin Janquart , Hemantakumar Phurailatpam , Harsh Narola , Jason S. C. Poon , Chris Van Den Broeck , Otto A. Hannuksela

A power-law density model, i.e., $\rho(r) \propto r^{-\gamma'}$ has been commonly employed in strong gravitational lensing studies, including the so-called time-delay technique used to infer the Hubble constant $H_0$. However, since the…

Astrophysics of Galaxies · Physics 2017-04-12 Dandan Xu , Dominique Sluse , Peter Schneider , Volker Springel , Mark Vogelsberger , Dylan Nelson , Lars Hernquist

Time delay lensing is a mature and competitive cosmological probe. However, it is limited in accuracy by the well-known problem of the mass-sheet degeneracy: too rigid assumptions on the density profile of the lens can potentially bias the…

Cosmology and Nongalactic Astrophysics · Physics 2017-12-27 Alessandro Sonnenfeld

Observations suggest that the dark matter and stars in early-type galaxies `conspire' to produce a surprisingly simple distribution of total mass, $\rho(r)\propto\rho^{-\gamma}$, with $\gamma\approx2$. We measure the distribution of mass in…

Stringent observational constraints on the sub-galactic matter power spectrum would allow one to distinguish between the concordance $\Lambda$CDM and the various alternative dark-matter models that predict significantly different properties…

Astrophysics of Galaxies · Physics 2023-06-21 D. Bayer , S. Chatterjee , L. V. E. Koopmans , S. Vegetti , J. P. McKean , T. Treu , C. D. Fassnacht , K. Glazebrook

The strong lensing modelling of gravitational ``rings'' formed around massive galaxies is sensitive to the amplitude of the external shear and convergence produced by nearby mass condensations. In current wide field surveys, it is now…

Astrophysics · Physics 2009-11-13 H. Tu , M. Limousin , B. Fort , C. G. Shu , J. F. Sygnet , E. Jullo , J. -P. Kneib , J. Richard

The gravitational lens equation resulting from a single (non-linear) mass concentration (the main lens) plus inhomogeneities of the large-scale structure is shown to be strictly equivalent to the single-plane gravitational lens equation…

Astrophysics · Physics 2015-06-24 Peter Schneider

We present a reconstruction of the mass distribution of galaxy cluster Abell 1689 at z = 0.18 using detected strong lensing features from deep HST/ACS observations and extensive ground based spectroscopy. Earlier analyses have reported up…

Strong gravitational lensing is regarded as the most precise technique to measure the mass in the inner region of galaxies or galaxy clusters. In particular, the mass within one Einstein radius can be determined with an accuracy of order of…

Cosmology and Nongalactic Astrophysics · Physics 2017-05-10 Sandra Unruh , Peter Schneider , Dominique Sluse

We investigate how strong gravitational lensing can test contemporary models of massive elliptical (ME) galaxy formation, by combining a traditional decomposition of their visible stellar distribution with a lensing analysis of their mass…

Microlensing imprints by typical stellar mass lenses on gravitational waves are challenging to identify in the LIGO and Virgo frequency band because such effects are weak. However, stellar mass lenses are generally embedded in lens galaxies…

High Energy Astrophysical Phenomena · Physics 2023-12-01 Eungwang Seo , Otto A. Hannuksela , Tjonnie G. F. Li

Gravitational lensing has long been used to measure or constrain cosmology models. Although the lensing effect of gravitational waves has not been observed by LIGO/Virgo, it is expected that there can be a few to a few hundreds lensed…

Cosmology and Nongalactic Astrophysics · Physics 2021-08-19 Shaoqi Hou , Xi-Long Fan , Zong-Hong Zhu
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