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We investigate binary lenses with $1/r^n$ potentials in the asymmetric case with two lenses with different indexes $n$ and $m$. These kinds of potentials have been widely used in several contexts, ranging from galaxies with halos described…

General Relativity and Quantum Cosmology · Physics 2020-07-31 Valerio Bozza , Silvia Pietroni , Chiara Melchiorre

We study analytically a gravitational lens due to a deformed star, which is modeled by using a monopole and a quadrupole moment. Positions of the images are discussed for a source on the principal axis. We present explicit expressions for…

Astrophysics · Physics 2009-11-10 Hideki Asada

We study the effect of the core radius of an isothermal ellipsoidal gravitational lens on the caustics and the critical curves. We derive an analytic expression of the caustics for an isothermal ellipsoidal gravitational lens via a…

Astrophysics · Physics 2009-11-10 Hideki Asada

A common remark at conferences and meetings has been: "One can fit any light curve with binary lens models because of the large number of parameters!" It is especially tempting to claim that some of the possible binary events in the…

Astrophysics · Physics 2009-10-28 Ann B. Saust

We study strong gravitational lensing by spiral galaxies, modeling them as infinitely thin uniform disks embedded in singular isothermal spheres. We derive general properties of the critical curves and caustics analytically. The…

Astrophysics · Physics 2015-06-24 Yun Wang , Edwin L. Turner

We investigate the caustic structure of a lens composed by a discrete number of point-masses, having mutual distances smaller than the Einstein radius of the total mass of the system. Along with the main critical curve, it is known that the…

Astrophysics · Physics 2007-05-23 Valerio Bozza

In gravitational microlensing, binary systems may act as lenses or sources. Identifying lens binarity is generally easy especially in events characterized by caustic crossing since the resulting light curve exhibits strong deviations from…

Solar and Stellar Astrophysics · Physics 2016-06-08 A. A. Nucita , F. De Paolis , G. Ingrosso , M. Giordano , L. Manni

Dark matter caustics have specific density profiles and, therefore, precisely calculable gravitational lensing properties. We present a formalism which simplifies the relevant calculations, and apply it to four specific cases. In the first…

Astrophysics · Physics 2009-11-07 C. Charmousis , V. Onemli , Z. Qiu , P. Sikivie

Binary microlensing light curves have a variety of morphologies. Many are indistinguishable from point lens light curves. Of those that deviate from the point lens form, caustic crossing light curves have tended to dominate identified…

Astrophysics · Physics 2009-11-13 Christopher Night , Rosanne Di Stefano , Megan Schwamb

The traditional perturbative method is applied to the case of gravitational lensing of planetary systems. A complete and detailed description of the structure of caustics for a system with an arbitrary number of planets can be obtained. I…

Astrophysics · Physics 2011-05-23 V. Bozza

Among the 25 planetary systems detected up to now by gravitational microlensing, there are two cases of a star with two planets, and two cases of a binary star with a planet. Other, yet undetected types of triple lenses include triple stars…

Earth and Planetary Astrophysics · Physics 2015-06-16 Kamil Danek , David Heyrovsky

When the gravitational lensing potential can be approximated by that of circularly symmetric system affected by weak perturbations, it is found that the shape of the resulting (tangential) caustics is entirely specified by the local…

Astrophysics · Physics 2007-05-23 Jin H. An

The cusps of the caustics of any gravitational lens model can be classified into positive and negative ones. This distinction lies on the parity of the images involved in the creation/destruction of pairs occurring when a source crosses a…

Astrophysics · Physics 2015-06-24 Valerio Bozza

We study the gravitational lensing properties of a massive object in a dark matter halo, concentrating on the critical curves and caustics of the combined lens. We model the system in the simplest approximation by a point mass embedded in a…

Astrophysics of Galaxies · Physics 2021-11-25 Michal Karamazov , Lukas Timko , David Heyrovsky

The microlensing monitoring programs have studied large numbers of standard light curves which seem to be due to lensing by a dark point mass. Theory predicts that many microlensing events should display significant deviations from the…

Astrophysics · Physics 2009-10-30 Rosanne Di Stefano , Rosalba Perna

Individual stars located near the caustics of galaxy clusters can undergo extreme magnification when crossing micro-caustics, rendering them observable even at cosmological distances. Though most massive stars are likely reside in binary…

Astrophysics of Galaxies · Physics 2025-03-10 Wenwen Zheng , Xiaoting Fu , Yang Chen , Xuefei Chen , Yanjun Guo , Xuechun Chen , Huanyuan Shan , Guoliang Li

Among all galactic microlensing events, those involving a passage of the observed source star over the caustic created by a binary lens are particularly useful in providing information about stellar atmospheres, the dynamics of stellar…

Astrophysics · Physics 2009-11-10 M. Dominik

For an analysis of microlensing observational data in case of binary gravitational lenses as well as for an interpretation of observations of high magnification events in multiple images of a lensed quasar it is necessary to calculate for a…

Astrophysics · Physics 2007-05-23 M. B. Bogdanov

Microlensing events are being discovered and alerted by the two survey teams OGLE and MOA at an increasing rate. Around ten percent of these events involve binary lenses. Such events potentially contain much information on the physical…

Astrophysics · Physics 2009-11-13 A. Cassan

The availability of a robust and efficient routine for calculating light curves of a finite source magnified due to bending its light by the gravitational field of an intervening binary lens is essential for determining the characteristics…

Astrophysics · Physics 2008-11-26 M. Dominik
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