For horizonless spherical stars with uniform charge density, the hoop conjecture was tested based on the interior solution. In this work, we are interested in more general horizonless spherical charged stars. We test hoop conjecture using the exterior solution since all types of interior solutions correspond to the same exterior Reissner-Nordsr$\ddot{o}$m solution. Our analysis shows that the hoop conjecture is violated for very compact stars if we express the conjecture with the total ADM mass. And the hoop conjecture holds if we express the conjecture using the mass in the sphere.
On the Kalb-Ramond modified Lorentz violating hairy black holes and Thorne's hoop conjecture
Zel’dovich International Center for Astrophysics, Bashkir State Pedagogical University（泽尔多维奇天体物理学国际中心，巴什基尔国立师范大学）；High Energy Cosmic Ray Research Center, University of North Bengal（北孟加拉大学高能宇宙射线研究中心）；Ufa University of Science & Technology, Sterlitamak Campus（乌法科学与技术大学，斯特利塔马克校区）
Testing generalized spacetimes for black holes using the Hod function representation of the hoop conjecture
Zel’dovich International Center for Astrophysics, M. Akmullah Bashkir State Pedagogical University（泽尔多维奇天体物理学国际中心，M.阿克穆拉巴什基尔国立师范大学）；Department of Physics & Astronomy, Bashkir State University（巴什基尔国立大学物理与天文系）；Salavat Industrial College（萨拉瓦特工业学院）
Dust collapse and horizon formation in Quadratic Gravity
High Energy Physics Department, Institute for Mathematics, Astrophysics, and Particle Physics, Radboud University（拉德堡德大学数学、天体物理和粒子物理研究所高能物理系）；Institute of Theoretical Physics, Faculty of Mathematics and Physics, Charles University（查理大学数学与物理学院理论物理研究所）
Universidade de Aveiro（阿维罗大学）；Université de Tours（图尔大学）；Universidade Federal do Espírito Santo（圣埃斯皮里托联邦大学）；Universidade Federal do Pará（帕拉联邦大学）；Universidad de Guadalajara（瓜达拉哈拉大学）；Universitat de Barcelona（巴塞罗那大学）
