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Excited state soliton stars are studied numerically for the first time. Thestability of spherically symmetric S-branch excited state oscillatons underradial perturbations is investigated using a 1D code. We find that these starsare inherently unstable either migrating to the ground state or collapsing toblack holes. Higher excited state configurations are observed to cascadethrough intermediate excited states during their migration to the ground state.This is similar to excited state boson stars. Ground state oscillatons are thenstudied in full 3D numerical relativity. Finding the appropriate gaugecondition for the dynamic oscillatons is much more challenging than in the caseof boson stars. Different slicing conditions are explored, and a customizedgauge condition that approximates polar slicing in spherical symmetry isimplemented. Comparisons with 1D results and convergence tests are performed.The behavior of these stars under small axisymmetric perturbations is studiedand gravitational waveforms are extracted. We find that the gravitational wavesdamp out on a short timescale, enabling us to obtain the complete waveform.This work is a starting point for the evolution of real scalar field systemswith arbitrary symmetries.

Numerical Simulations of Oscillating Soliton Stars: Excited States in Spherical Symmetry and Ground State Evolutions in 3D