2020/10/31 by Masato Nozawa · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Domain (mathematical analysis) #Einstein #Geometry #Imaging phantom #Mathematical analysis #Mathematical physics #Mathematics #Physics #Scalar (mathematics) #Scalar field #Supergravity #Superpotential #Theoretical physics #Wormhole #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.103.024005
published as Phys. Rev. D 103, 024005 (2021) · 4 figures, 1 table, 37 pages; v2 to appear in PRD
arxiv created 2021/01/05 · openalex publication_date 2021/01/06 · arxiv updated 2021/01/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The static and spherically symmetric solutions in the n(\ensuremath≥4)-dimensional Einstein-phantom-scalar system fall into three families: (i) the Fisher solution, (ii) the Ellis-Gibbons solution, and (iii) the Ellis-Bronnikov solution. We exploit these solutions as seed to generate a bunch of corresponding asymptotically (A)dS spacetimes, at the price of introducing the potential of the scalar field. Despite that the potentials are different for each solution, each potential is expressed in terms of the superpotential as in supergravity. We discuss the global structure of these solutions in detail and spell out the domain of parameters under which each solution represents a black hole/wormhole. The Ellis-Bronnikov class of solutions presents novel examples of spherical traversable wormholes that interpolate two different (A)dS critical points of the (super)potential.