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Static spacetimes haunted by a phantom scalar field. III. Asymptotically (A)dS solutions

Masato Nozawa*

  • Center for Gravitational Physics, Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan

  • *masato.nozawa@yukawa.kyoto-u.ac.jp
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Phys. Rev. D 103, 024005 – Published 6 January, 2021

DOI: https://doi.org/10.1103/PhysRevD.103.024005

Abstract

The static and spherically symmetric solutions in the n(≥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.

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See Also

Static spacetimes haunted by a phantom scalar field. I. Classification and global structure in the massless case

Cristián Martínez and Masato Nozawa
Phys. Rev. D 103, 024003 (2021)

Static spacetimes haunted by a phantom scalar field. II. Dilatonic charged solutions

Masato Nozawa
Phys. Rev. D 103, 024004 (2021)

Article Text

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Phys. Rev. D 103, 024005– Published 6 January, 2021
  • Received 20 October 2020
  • Accepted 7 December 2020
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