Gravitational Microlensing of Gamma-Ray Burst Afterglows by Single and Binary Stars

We calculate the magnification light curves due to stellar microlensing of gamma-ray burst (GRB) afterglows. A GRB source appears on the sky as a thin ring which expands faster than the speed of light and is maximally magnified as it crosses the lens caustics. While a single star lens produces a single peak in the magnification light curve, binary star lenses may produce multiple peaks. The shape of the magnification light curve provides invaluable information on the surface brightness distribution of the afterglow photosphere on sub microarcsecond scales. We find that all afterglows are likely to show variability at the level of a few percent about a year following the explosion, due to stars which are separated by tens of Einstein radii from their line-of-sight. Subject headings: cosmology: theory – gamma rays: bursts – gravitational lensing – stars: binaries