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Besides scalarized black holes and wormholes, Einstein-scalar-Gauss-Bonnettheories allow also for particle-like solutions. The scalar field of theseparticle-like solutions diverges at the origin, akin to the divergence of theCoulomb potential at the location of a charged particle. However, theseparticle-like solutions possess a globally regular metric, and their effectivestress energy tensor is free from pathologies, as well. We determine the domainof existence for particle-like solutions in a number ofEinstein-scalar-Gauss-Bonnet theories, considering dilatonic and power-lawcoupling functions, and we analyze the physical properties of the solutions.Interestingly, the solutions may possess pairs of lightrings, and thusrepresent ultra-compact objects. We determine the location of these lightrings,and study the effective potential for the occurrence of echoes in thegravitational-wave spectrum. We also address the relation of theseparticle-like solutions to the respective wormhole and black-hole solutions,and clarify the limiting procedure to recover the Fisher solution (also knownas Janis-Newman-Winicourt-Wyman solution).

Properties of ultra-compact particle-like solutions in Einstein-scalar-Gauss-Bonnet theories