Properties of ultracompact particlelike solutions in EinsteinscalarGaussBonnet theories
Abstract
Besides scalarized black holes and wormholes, EinsteinscalarGaussBonnet theories allow also for particlelike solutions. The scalar field of these particlelike solutions diverges at the origin, akin to the divergence of the Coulomb potential at the location of a charged particle. However, these particlelike solutions possess a globally regular metric, and their effective stressenergy tensor is free from pathologies, as well. We determine the domain of existence for particlelike solutions in a number of EinsteinscalarGaussBonnet theories, considering dilatonic and powerlaw coupling functions, and we analyze the physical properties of the solutions. Interestingly, the solutions may possess pairs of lightrings, and thus represent ultracompact objects. We determine the location of these lightrings, and study the effective potential for the occurrence of echoes in the gravitationalwave spectrum. We also address the relation of these particlelike solutions to the respective wormhole and blackhole solutions, and clarify the limiting procedure to recover the Fisher solution (also known as the JanisNewmanWinicourWyman solution).
 Publication:

Physical Review D
 Pub Date:
 July 2020
 DOI:
 10.1103/PhysRevD.102.024070
 arXiv:
 arXiv:2005.07650
 Bibcode:
 2020PhRvD.102b4070K
 Keywords:

 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 29 pages, 15 figures