We will start from the basics of the lensing theory, discussing the deflection of light rays and defining some quantities which will be necessary for the rest of the course. gravitational lensing quantitatively, deriving some of the relevant equations (Chapter 3). It is also one of the consequences of Albert Einstein’s general theory of relativity. While gravitational lensing has existed throughout history, it's fairly safe to say that it was first discovered in the early 1900s. More information can be found in the spotlight text A brief history of gravitational lenses. Their goal is to give an overview on gravitational lensing and on its wide phenomenology. gravitational lensing (gravitational lens) In Einstein's general relativity , gravity necessarily acts not only on material bodies, but also on light - light passing a massive body is deflected. This process is called gravitational lensing and in many cases can be described in analogy to the deflection of light by (e.g. Lectures on Gravitational Lensing Ramesh NARAYAN Harvard-Smithsonian Center for Astrophysics 60 Garden Street Cambridge, MA 02138, USA Matthias BARTELMANN Max-Planck-Institut fu¨r Astrophysik P.O. These lensing effects are typically described as weak or strong, and the strength of a lens relates to an object’s position and mass and distance from the light source that is lensed. Box 1523, D–85740 Garching, Germany February 1, 2008 Abstract These lectures give an introduction to Gravitational Lensing. Gravitational lensing was first theorized by Albert Einstein more than 100 years ago to describe how light bends when it travels past massive objects like galaxies and galaxy clusters. Today, it is used to study many phenomena and objects in the distant universe. The stars you see at night can possibly be illusions, or that they are not as many as they actually are. multiple versions of quasars, gigantically distorted nomenon referred to as Gravitational lensing. After introducing the topic, we dive into derivations of the angle by which light de ects as it passes by a massive body. A whole variety of lensing observations and phenomena which curved space-time provides for us is presented in Chapter 4, e.g. Gravitational Lens. Gravitational Lensing In general relativity, the presence of matter (energy density) can curve spacetime, and the path of a light ray will be deflected as a result. This happens through a process called gravitational lens or gravitational lensing. glass) lenses in optics. Making use of the fact that Fermat’s principle holds in general relativity, we derive an index of refraction Examples of Gravitational Microlensing Surveys: Surveys that rely on the Microlensing Method include the Optical Gravitational Lensing Experiment (OGLE) at the University of Warsaw.

Their observations proved that gravitational lensing existed.