The deflection is given by, d (n ˆ) = ∇ ϕ (n ˆ), where the lensing potential ϕ (n ˆ) is obtained by integrating the gravitational potential along the line of the sight . So, what is Gravitational Lensing? Download PDF Abstract: Gamma-Ray Bursts (GRBs) offer a potential way to extend the Hubble diagram to very high redshifts and to constrain the nature of dark energy in a way complementary to distant type Ia supernovae. Gravitational lensing also allows us to observe invisible things in our Universe. If the alignment is perfect, the resulting image is an Einstein Ring , shown to the left. arXiv:1403.2386v2 [astro-ph.CO] 11 Jul 2014 NIKHEF 2014-003 Gravitational Lensing of theCMB:a Feynman Diagram Approach Elizabeth E. Jenkins,1 Aneesh V. Manohar,1 Wouter J. Waalewijn,2,3 and Amit P. S. Yadav1,∗ 1Department of Physics, University of California at San Diego, La Jolla, CA 92093, USA 2Nikhef, Theory Group, Science Park 105, 1098 XG, Amsterdam, The Netherlands

G = gravitational constant = 6.67 x 10^(-11) N*kg^2/m^2 M = mass of lensing object, in kg D = distance from us to lens (and lens to source), in m c = speed of light = 3 … However, gravitational lensing systematically brightens distant GRBs through the magnification bias, in addition to increasing the dispersions of distance measurements. Gravitational lensing is caused by a massive body between a distant object and ourselves. The light from the object gets bent round the massive body in between. Dark matter doesn’t emit or absorb light on its own, so we can’t observe it directly. In simple terms, if a large gravitational mass (the sun) is in the line of sight between an observer and a light emitting body (a star) the gravitational field of the sun bends the light ray as shown in … It can create the appearance of two or more objects where there is really only one. Gravitational lensing of the CMB: A Feynman diagram approach. This is part one of a two-part series.. Schematic Diagram of a Galaxy acting as a Gravitational Lens The characteristics of the gravitationally lensed image depend upon the alignment of the observer, the lens and the background object.

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