Abstract

We study self-gravitating bosonic systems, candidates for dark-matter halos, by carrying out a set of direct numerical simulations designed to investigate the formation of finite-temperature, compact objects in the three-dimensional (3D) Fourier-truncated Gross-Pitaevskii-Poisson equation (GPPE). This truncation allows us to explore the collapse and fluctuations of compact objects over a wide range of model parameters.  By introducing a solid-crust potential and rotation in the GPPE , we develop a minimal model for pulsars and their glitches. [References: (1)  A.K. Verma, R. Pandit, and M.E. Brachet, The formation of compact objects at finite temperatures in a dark-matter-candidate self-gravitating bosonic system, Phys. Rev. Research 3 (2), L022016 (2021). (2) A.K. Verma, R. Pandit, and M.E. Brachet, Rotating self-gravitating Bose-Einstein condensates with a crust: a minimal model for pulsar glitches, Physical Review Research 4 (1), 013026 (2022). (3) S. Shukla, A.K. Verma, M.E. Brachet, and R. Pandit, Gravity- and temperature-driven phase transitions in a model for collapsed axionic condensates, Phys. Rev. D 109 , 063009 (2024). (4) S. Shukla, M.E. Brachet, and R. Pandit, Neutron-superfluid vortices and proton-superconductor flux tubes: Development of aminimal model for pulsar glitches (arXiv preprint 2024).