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We analyze gravitational lensing in a matched Kottler spacetime with cosmological constant $\Lambda$, where a uniform-density fluid sphere described by the interior Kottler solution is smoothly joined to the exterior Kottler region. We…

General Relativity and Quantum Cosmology · Physics 2026-05-29 Mourad Guenouche

Recent studies suggest that the cosmological constant affects the gravitational bending of photons although the orbital equation for light in Schwarzschild-de Sitter space time is free from cosmological constant. Here we argued that the…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Arunava Bhadra , Swarnadeep Biswas , Kabita Sarkar

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

Strongly lensed quasars with time-delay measurements are well known to provide the "time-delay distances" $D_{\Delta t}=(1+z_L)D_LD_S/D_{LS}$ and the angular diameter distances to lens galaxies $D_L$. These two kinds of distances give…

Cosmology and Nongalactic Astrophysics · Physics 2019-09-19 Kai Liao

We review recent results concerning the spherically symmetric Einstein-scalar field system with positive cosmological constant. We do so by comparing with the classical results of Christodoulou concerning the asymptotically flat case…

General Relativity and Quantum Cosmology · Physics 2013-12-02 João L. Costa

Future large ensembles of time delay lenses have the potential to provide interesting cosmological constraints complementary to those of other methods. In a flat universe with constant w including a Planck prior, LSST time delay…

Cosmology and Nongalactic Astrophysics · Physics 2009-11-13 Dan Coe , Leonidas Moustakas

We consider an alternative formula for time delay in gravitational lensing. Imposing a smoothness condition on the gravitationally deformed paths followed by the photons from the source to the observer, we show that our formula displays the…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-04 Nicola Alchera , Marco Bonici , Roberta Cardinale , Alba Domi , Nicola Maggiore , Chiara Righi , Silvano Tosi

We study the bending of light for static spherically symmetric (SSS) space-times which include a dark energy contribution. Geometric dark energy models generically predict a correction to the Einstein angle written in terms of the distance…

Astrophysics · Physics 2008-11-26 Fabio Finelli , Matteo Galaverni , Alessandro Gruppuso

The detailed study of the strong gravitational lensing of a Kerr black hole within Quantum Einstein Gravity (QEG) is performed. We calculate the photon sphere, the deflection angle of light, and observables on the equatorial plane under the…

General Relativity and Quantum Cosmology · Physics 2024-09-09 Chen-Hao Xie , Yu Zhang , Bo-Li Liu , Peng-Fei Duan , Yu-Li Lou

Time delays in strong gravitational lensing systems possess significant complementarity with distance measurements to determine the dark energy equation of state, as well as the matter density and Hubble constant. Time delays are most…

Cosmology and Nongalactic Astrophysics · Physics 2012-01-04 Eric V. Linder

We compute time delays for gravitational lensing in a flat LambdaCDM Swiss cheese universe. We assume a primary and secondary pair of light rays are deflected by a single point mass condensation described by a Kottler metric (Schwarzschild…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-21 Bin Chen , Ronald Kantowski , Xinyu Dai

This review surveys some recent developments concerning the effect of the cosmological constant on the bending of light by a spherical mass in Kottler (Schwarzchild-de Sitter) spacetime. Some proposals of how such an effect may be put into…

Cosmology and Nongalactic Astrophysics · Physics 2011-02-01 Mustapha Ishak , Wolfgang Rindler

Debate persists as to whether the cosmological constant $\Lambda$ can directly modify the power of a gravitational lens. With the aim of reestablishing a consensus on this issue, I conduct a comprehensive analysis of gravitational lensing…

General Relativity and Quantum Cosmology · Physics 2016-11-03 Luke M. Butcher

We present cosmological constraints from 8 strongly lensed quasars (hereafter, the TDCOSMO-2025 sample). Building on previous work, our analysis incorporated new deflector stellar velocity dispersions measured from spectra obtained with the…

Weak gravitational lensing by black holes and wormholes in the context of massive gravity (Bebronne and Tinyakov 2009) theory is studied. The particular solution examined is characterized by two integration constants, the mass $M$ and an…

General Relativity and Quantum Cosmology · Physics 2018-05-01 Kimet Jusufi , Nayan Sarkar , Farook Rahaman , Ayan Banerjee , Sudan Hansraj

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 investigate the equatorial deflection angle of light rays propagating in Kerr-Newman black-bounce spacetime. Furthermore, we analyze the light ray trajectories and derive a closed-form formula for deflection angle in terms of elliptic…

General Relativity and Quantum Cosmology · Physics 2023-05-30 Saptaswa Ghosh , Arpan Bhattacharyya

We estimate the changes in solar system tests of general relativity when "dark energy" arises from a Weyl scaling invariant action, using the modified Schwarzschild-like spherically symmetric solution obtained in this case by Adler and…

General Relativity and Quantum Cosmology · Physics 2023-01-11 Stephen L. Adler

We firstly present a new asymptotical flat and spherically symmetric solution in the generalized Einstein-Cartan-Kibble-Sciama (ECKS) theory of gravity and then investigate the propagation of photon in this background. This solution…

General Relativity and Quantum Cosmology · Physics 2018-12-04 Songbai Chen , Lu Zhang , Jiliang Jing

We investigate the dependence of the time delays for the large-separation gravitationally lensed quasar SDSS J1004+4112 on the inner mass profile of the lensing cluster. Adopting the mass model whose innermost density profile is…

Astrophysics · Physics 2015-06-24 Yozo Kawano , Masamune Oguri