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The aim of this paper is to study the astrometric trajectory of microlensing events with an extended lens and/or source. We consider not only a dark lens but also a luminous lens as well. We find that the discontinuous finite-lens…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-17 C. -H. Lee , S. Seitz , A. Riffeser , R. Bender

In this paper we explore the possibility that the recently detected reflected light signal of 51\,Peg\,b could be caused by a ring system around the planet. We use a simple model to compare the observed signal with the expected signal from…

Microlensing searches toward the inner galaxy $(|l|,|b|\leq 22.\hskip-2pt'5)$ have several major advantages. First, the event rate is strongly dominated by bulge-bulge lensing events where both the source and lens lie in the bulge. Second,…

Astrophysics · Physics 2009-10-22 Andrew Gould

The probability of detecting a planetary companion of a lensing star during a microlensing event toward the Galactic center, averaged over all relevant event and galactic parameters, when the planet-star mass ratio $q=0.001$ has a maximum…

Astrophysics · Physics 2009-11-06 S. J. Peale

We use ray-tracing through the Millennium simulation to study how secondary matter structures along the line-of-sight and the stellar mass in galaxies affect strong cluster lensing, in particular the cross-section for giant arcs.…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 Ewald Puchwein , Stefan Hilbert

We construct a model for galactic dark matter that arises as a solution of Einstein gravity, and is a Bertrand space-time matched with an external Schwarzschild metric. This model can explain galactic rotation curves. Further, we study…

Astrophysics of Galaxies · Physics 2013-11-13 Dipanjan Dey , Kaushik Bhattacharya , Tapobrata Sarkar

Gravitational wave (GW) experiments are entering their advanced stage which should soon open a new observational window on the Universe. Looking into this future, the Einstein Telescope (ET) was designed to have a fantastic sensitivity…

High Energy Astrophysical Phenomena · Physics 2014-11-07 Marek Biesiada , Xuheng Ding , Aleksandra Piorkowska , Zong-Hong Zhu

The lensing at large deflection angles caused by a Schwarzschild black hole for the case of a nonminimal coupling between gravitation and electromagnetism is examined. We show that photons follow an effective geometry, which displays an…

General Relativity and Quantum Cosmology · Physics 2020-07-01 Santiago E. P. Bergliaffa , Edson Elias de Souza Filho , Rodrigo Maier

We report the spectroscopic confirmation of a bright blue Einstein ring in the Kilo Degree Survey (KiDS) footprint: the Einstein ``blue eye''. Spectroscopic data from X-Shooter at the Very Large Telescope (VLT) show that the lens is a…

Einstein Telescope (ET) is the European project for a gravitational-wave (GW) observatory of third-generation. In this paper we present a comprehensive discussion of its science objectives, providing state-of-the-art predictions for the…

General Relativity and Quantum Cosmology · Physics 2026-04-15 Adrian Abac , Raul Abramo , Simone Albanesi , Angelica Albertini , Alessandro Agapito , Michalis Agathos , Conrado Albertus , Nils Andersson , Tomas Andrade , Igor Andreoni , Federico Angeloni , Marco Antonelli , John Antoniadis , Fabio Antonini , Manuel Arca Sedda , M. Celeste Artale , Stefano Ascenzi , Pierre Auclair , Matteo Bachetti , Charles Badger , Biswajit Banerjee , David Barba-Gonzalez , Daniel Barta , Nicola Bartolo , Andreas Bauswein , Andrea Begnoni , Freija Beirnaert , Michal Bejger , Enis Belgacem , Nicola Bellomo , Laura Bernard , Maria Grazia Bernardini , Sebastiano Bernuzzi , Christopher P. L. Berry , Emanuele Berti , Gianfranco Bertone , Dario Bettoni , Miguel Bezares , Swetha Bhagwat , Sofia Bisero , Marie Anne Bizouard , Jose J. Blanco-Pillado , Simone Blasi , Alice Bonino , Alice Borghese , Ssohrab Borhanian , Elisa Bortolas , Maria Teresa Botticella , Marica Branchesi , Matteo Breschi , Richard Brito , Enzo Brocato , Floor S. Broekgaarden , Tomasz Bulik , Alessandra Buonanno , Fiorella Burgio , Adam Burrows , Gianluca Calcagni , Sofia Canevarolo , Enrico Cappellaro , Giulia Capurri , Carmelita Carbone , Roberto Casadio , Ramiro Cayuso , Pablo Cerda-Duran , Prasanta Char , Sylvain Chaty , Tommaso Chiarusi , Martyna Chruslinska , Francesco Cireddu , Philippa Cole , Alberto Colombo , Monica Colpi , Geoffrey Compere , Carlo Contaldi , Maxence Corman , Francesco Crescimbeni , Sergio Cristallo , Elena Cuoco , Giulia Cusin , Tito Dal Canton , Gergely Dalya , Paolo D'Avanzo , Nazanin Davari , Valerio De Luca , Viola De Renzis , Massimo Della Valle , Walter Del Pozzo , Federico De Santi , Alessio Ludovico De Santis , Tim Dietrich , Ema Dimastrogiovanni , Guillem Domenech , Daniela Doneva , Marco Drago , Ulyana Dupletsa , Hannah Duval , Irina Dvorkin , Nancy Elias-Rosa , Stephen Fairhurst , Anthea F. Fantina , Matteo Fasiello , Maxime Fays , Rob Fender , Tobias Fischer , Francois Foucart , Tassos Fragos , Stefano Foffa , Gabriele Franciolini , Jacopo Fumagalli , Jonathan Gair , Rossella Gamba , Juan Garcia-Bellido , Cecilio Garcia-Quiros , Laszlo Arpad Gergely , Giancarlo Ghirlanda , Archisman Ghosh , Bruno Giacomazzo , Fabian Gittins , Ines Francesca Giudice , Boris Goncharov , Alejandra Gonzalez , Stephane Goriely , Luca Graziani , Giuseppe Greco , Leonardo Gualtieri , Gianluca Maria Guidi , Ish Gupta , Maria Haney , Mark Hannam , Jan Harms , Arus Harutyunyan , Brynmor Haskell , Andreas Haungs , Nandini Hazra , Gary Hemming , Ik Siong Heng , Tanja Hinderer , Alexander van der Horst , Qian Hu , Sascha Husa , Francesco Iacovelli , Giulia Illuminati , Gianluca Inguglia , David Izquierdo Villalba , Justin Janquart , Kamiel Janssens , Alexander C. Jenkins , Ian Jones , Balazs Kacskovics , Ralf S. Klessen , Kostas Kokkotas , Hao-Jui Kuan , Sumit Kumar , Sachiko Kuroyanagi , Danny Laghi , Astrid Lamberts , Gaetano Lambiase , Francois Larrouturou , Paola Leaci , Michele Lenzi , Andrew Levan , T. G. F. Li , Yufeng Li , Dicong Liang , Marco Limongi , Boyuan Liu , Felipe J. Llanes-Estrada , Eleonora Loffredo , Oliver Long , Eva Lope-Oter , Georgios Lukes-Gerakopoulos , Elisa Maggio , Michele Maggiore , Michele Mancarella , Michela Mapelli , Pablo Marchant , Annarita Margiotta , Alberto Mariotti , Alisha Marriott-Best , Sylvain Marsat , Gabriel Martinez-Pinedo , Andrea Maselli , Simone Mastrogiovanni , Isabela Matos , Andrea Melandri , Raissa F. P. Mendes , Josiel Mendonca Soares de Souza , Giorgio Mentasti , Mar Mezcua , Philipp Mosta , Chiranjib Mondal , Michele Moresco , Tista Mukherjee , Niccolo Muttoni , Alessandro Nagar , Harsh Narola , Lara Nava , Pablo Navarro Moreno , Gijs Nelemans , Alex B. Nielsen , Samaya Nissanke , Martin Obergaulinger , Micaela Oertel , Gor Oganesyan , Francesca Onori , Costantino Pacilio , Giulia Pagliaroli , Cristiano Palomba , Peter T. H. Pang , Paolo Pani , Lucia Papalini , Barbara Patricelli , Alessandro Patruno , Alessandro Pedrotti , Albino Perego , Maria Angeles Perez-Garcia , Carole Perigois , Gabriele Perna , Celine Peroux , J. Perret , Delphine Perrodin , Alessandro Pesci , Harald P. Pfeiffer , Ornella Juliana Piccinni , Mauro Pieroni , Silvia Piranomonte , Lorenzo Pompili , E. K. Porter , Rafael A. Porto , Adam Pound , Jade Powell , Mathieu Puech , Geraint Pratten , Anna Puecher , Oriol Pujolas , Miguel Quartin , Adriana R. Raduta , Antoni Ramos-Buades , Aaron Rase , Massimiliano Razzano , Nanda Rea , Tania Regimbau , Arianna Renzini , Piero Rettegno , Angelo Ricciardone , Antonio Riotto , Alba Romero-Rodriguez , Samuele Ronchini , Dorota Rosinska , Andrea Rossi , Soumen Roy , Diego Rubiera-Garcia , J. Rubio , Pilar Ruiz-Lapuente , Violetta Sagun , Mairi Sakellariadou , Om Sharan Salafia , Anuradha Samajdar , Nicolas Sanchis-Gual , Andrea Sanna , Filippo Santoliquido , Bangalore Sathyaprakash , Patricia Schmidt , Stefano Schmidt , Fabian R. N. Schneider , Raffaella Schneider , Armen Sedrakian , Geraldine Servant , Alexander Sevrin , Lijing Shao , Hector O. Silva , Peera Simakachorn , Stephen Smartt , Thomas P. Sotiriou , Mario Spera , Antonio Stamerra , Daniele A. Steer , Jan Steinhoff , Nikolaos Stergioulas , Riccardo Sturani , Duvier Suarez , Jishnu Suresh , Shaun Swain , Matteo Tagliazucchi , Nicola Tamanini , Gianmassimo Tasinato , Thomas M. Tauris , Jacopo Tissino , Giovanni Maria Tomaselli , Silvia Toonen , Alejandro Torres-Forne , Cezary Turski , Cristiano Ugolini , Elias C. Vagenas , Lorenzo Valbusa Dall'Armi , Elena Valenti , Rosa Valiante , Chris Van Den Broeck , Maarten van de Meent , Lieke A. C. van Son , Miguel Vanvlasselaer , Massimo Vaglio , Vijay Varma , John Veitch , Ville Vaskonen , Susanna D. Vergani , Milan Wils , Helvi Witek , Isaac C. F. Wong , Stoytcho Yazadjiev , Garvin Yim , Fausto Acernese , Hojae Ahn , Annalisa Allocca , Alex Amato , Marc Andres-Carcasona , Guerino Avallone , Markus Bachlechner , Patrick Baer , Stefano Bagnasco , Gabriele Balbi , Fabrizio Barone , Eugenio Benedetti , Charlotte Benning , Simone Bini , Jose Luis Blazquez Salcedo , Valerio Bozza , Matteo Bruno , Timo Butz , Matteo Califano , Enrico Calloni , Giovanni Carapella , Alessandro Cardini , Shreevathsa Chalathadka Subrahmanya , Francesco Chiadini , Antonino Chiummo , Spina Cianetti , Giacomo Ciani , Eugenio Coccia , Andrea Contu , Robin Cornelissen , Andrea Cozzumbo , Lewis Croney , Mariateresa Crosta , Rocco D'Agostino , Stefan Danilishin , Sabrina D'Antonio , Jorden De Bolle , Jerome Degallaix , Mariafelicia De Laurentis , Riccardo della Monica , Francesco De Marco , Ivan de Martino , Rosario De Rosa , Riccardo De Salvo , Roberta De Simone , Christophe Detavernier , Giovanni Diaferia , Martina Di Cesare , Luciano Di Fiore , Matteo Di Giovanni , Sibilla Di Pace , Jennifer Docherty , Domenico D'Urso , Oussama El Mecherfi , Luciano Errico , Federica Fabrizi , Viviana Fafone , Viviana Fanti , Rosalba Fittipaldi , Vincenzo Fiumara , Andreas Freise , Stefan Funk , Mika Gaedtke , Fabio Garufi , Oliver Gerberding , Edoardo Giangrandi , Carlo Giunchi , Victoria Graham , Massimo Granata , Veronica Granata , Anna Green , Karen Haughian , Lavinia Heisenberg , Margot Hennig , Stefan Hild , Van Long Hoang , Nathan Holland , Gerardo Iannone , Katharina-Sophie Isleif , Robert Joppe , Chang-Hee Kim , Chunglee Kim , Kyungmin Kim , Erika Korb , Mikhail Korobko , Luise Kranzhoff , Tim Kuhlbusch , Gregoire Lacaille , Angelique Lartaux-Vollard , Lia Lavezzi , Paul Laycock , Sumi Lee , Sumin Lee , Sungho Lee , Giovanni Losurdo , Leonardo Lucchesi , Harald Luck , Adrian Macquet , Ettore Majorana , Valentina Mangano , Filippo Martelli , Iain Martin , Mario Martinez , Alberto Masoni , Luca Massaro , Daniele Melini , Amata Mercurio , Lorenzo Mereni , Andrew L. Miller , Lorenzo Mirasola , Alexandra Mitchell , Irene Molinari , Matteo Montani , Conor Mow-Lowry , Riccardo Murgia , Peter Gordon Murray , Giuseppe Muscas , Luca Naticchioni , Ardiana Nela , Marina Nery , Tom Niggemann , Niklas Nippe , Jerome Novak , Armin Numic , Marco Olivieri , Marco Orsini , June Gyu Park , Daniela Pascucci , Antonio Perreca , Francesco Piergiovanni , Vincenzo Pierro , Laurent Pinard , Innocenzo Pinto , Michele Punturo , Paola Puppo , Francesco Quochi , Reinhardt Omondi Rading , Piero Rapagnani , Marco Ricci , Davi Rodrigues , Rocco Romano , Davide Rozza , Pooya Saffarieh , Federica Santucci , Steven Schramm , Benjamin Schwab , Valeria Sequino , Liam Shelling Neto , Laura Silenzi , Alicia M. Sintes , Carlos F. Sopuerta , Andrew Spencer , Achim Stahl , Jessica Steinlechner , Sebastian Steinlechner , Robert Szabo , Thomas Thummler , Emanuele Tofani , Stefano Torniamenti , Riccardo Travaglini , Lucia Trozzo , M. Paola Vaccaro , Michele Valentini , Peter Van , Jesse van Dongen , Joris van Heijningen , Zeb van Ranst , Marco Vardaro , Patrice Verdier , Daniele Vernieri , Nico Wagner , Janis Woehler , Joachim Wolf , Guido Zavattini , Adrian Zink , Andreas Zmija

In a gravitational lensing system, the relative transverse velocities of the lens, source, and observer induce a frequency shift in the observed radiation. While this shift is typically negligible in most astrophysical contexts, strategies…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-21 Mikołaj Korzyński , Mateusz Kulejewski

We investigate the properties of microlensing events caused by planetary systems where planets with a moon are widely separated from their host stars. From this investigation, we find that the moon feature generally appears as an very…

Earth and Planetary Astrophysics · Physics 2016-08-03 Sun-Ju Chung , Yoon-Hyun Ryu

We report the lens mass and distance measurements of the nearby microlensing event TCP J05074264+2447555. We measure the microlens parallax vector ${\pi}_{\rm E}$ using Spitzer and ground-based light curves with constraints on the direction…

The gravitational lensing of a finite star moving around a rotating Kerr black hole has been numerically calculated. Calculations for the direct image of the star and for the first and second light echoes have been performed for the star…

High Energy Astrophysical Phenomena · Physics 2018-02-06 V. I. Dokuchaev , N. O. Nazarova

Propagating gravitational waves (GWs) can encounter a massive object (lens) whose gravitational radius is comparable to the wavelength of the GWs (wave-optics regime). The resulting `microlensed' signal contains imprints about the…

General Relativity and Quantum Cosmology · Physics 2025-12-23 Gopalkrishna Prabhu , Uddeepta Deka , Sumanta Chakraborty , Shasvath J. Kapadia

The existence of an arc statistics problem was at the center of a strong debate in the last fifteen years. With the aim to clarify if the optical depth for giant gravitational arcs by galaxy clusters in the so called concordance model is…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 M. Meneghetti , M. Bartelmann , H. Dahle , M Limousin

We investigate the predictions of Einsteinian Cubic Gravity (ECG) for the lensing effects due to supermassive black holes at the center of Milky Way and other galaxies. Working in the context of spherical symmetry, we obtain the metric…

General Relativity and Quantum Cosmology · Physics 2019-02-01 Mohammad Bagher Jahani Poshteh , Robert B. Mann

In 1936 Einstein predicted the phenomenon presently known as gravitational lensing (GL). A prime feature of GL is the magnification, because of the gravitational field, of the star visible surface as seen from a distant observer. We show…

Strong lensing has developed into an important astrophysical tool for probing both cosmology and galaxies (their structure, formation, and evolution). Using the gravitational lensing theory and cluster mass distribution model, we try to…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 Shuo Cao , Yu Pan , Marek Biesiada , Wlodzimierz Godlowski , Zong-Hong Zhu

The successful prediction of lensing events is a new and exciting enterprise that provides opportunities to discover and study planetary systems. The companion paper investigates the underlying theory. This paper is devoted to outlining the…

Earth and Planetary Astrophysics · Physics 2012-02-27 Rosanne Di Stefano , James Matthews , Sebastien Lepine
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