eprintid: 10175693 rev_number: 10 eprint_status: archive userid: 699 dir: disk0/10/17/56/93 datestamp: 2023-09-22 15:47:53 lastmod: 2024-07-01 13:28:57 status_changed: 2023-09-22 15:47:53 type: book_section metadata_visibility: show sword_depositor: 699 creators_name: Schrecker, Matthew title: Self-similar gravitational collapse for polytropic stars ispublished: pub divisions: UCL divisions: B04 divisions: C06 divisions: F59 note: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. abstract: 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). date: 2024-01-01 date_type: published publisher: Birkhäuser official_url: https://doi.org/10.1007/978-3-031-48579-4_17 full_text_type: other language: eng verified: verified_manual elements_id: 2046752 doi: 10.1007/978-3-031-48579-4_17 lyricists_name: Schrecker, Matthew lyricists_id: MSCHR30 actors_name: Schrecker, Matthew actors_id: MSCHR30 actors_role: owner full_text_status: restricted place_of_pub: Basel, Switzerland book_title: Extended abstracts 2021/2022 - Methusalem lectures editors_name: Restrepo, Joel editors_name: Cardona, Duvan editors_name: Ruzhansky, Michael citation: Schrecker, Matthew; (2024) Self-similar gravitational collapse for polytropic stars. In: Restrepo, Joel and Cardona, Duvan and Ruzhansky, Michael, (eds.) Extended abstracts 2021/2022 - Methusalem lectures. Birkhäuser: Basel, Switzerland. document_url: https://discovery.ucl.ac.uk/id/eprint/10175693/1/Schrecker.pdf