%I Birkhäuser %E Joel Restrepo %E Duvan Cardona %E Michael Ruzhansky %X We describe the construction of self-similar solutions to the gravitational Euler-Poisson equations for polytropic gases, providing exact self-similar profiles for the gravitational collapse of stars. These results are based on joint work with Guo et al. (Arch. Rat. Mech. Anal. 246:957–1066, 2022). %C Basel, Switzerland %B Extended abstracts 2021/2022 - Methusalem lectures %D 2024 %O This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. %A Matthew Schrecker %L discovery10175693 %T Self-similar gravitational collapse for polytropic stars