Static spacetimes haunted by a phantom scalar field III: asymptotically (A)dS solutions

Abstract

The static and spherically symmetric solutions in $n(\ge 4)$-dimensional Einstein-phantom-scalar system fall into three family: (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.

4 figures, 1 table, 37 pages; v2 to appear in PRD

References in corpus (11)

• Asymptotic behavior and Hamiltonian analysis of anti-de Sitter gravity coupled to scalar fields
• Static and symmetric wormholes respecting energy conditions in Einstein-Gauss-Bonnet gravity
• Astrophysics of Wormholes
• Phantom Matter and the Cosmological Constant
• Static spacetimes haunted by a phantom scalar field: classification and global structure in the massless case
• Cosmological rotating black holes in five-dimensional fake supergravity
• Exact dynamical AdS black holes and wormholes with a Klein-Gordon field
• Static spacetimes haunted by a phantom scalar field II: dilatonic charged solutions
• Positive mass theorem in extended supergravities
• Bronnikov-like Wormholes in Einstein-Scalar Gravity
• Bouncing Cosmologies

Cited by in corpus (11)

• Static spacetimes haunted by a phantom scalar field: classification and global structure in the massless case
• Ellis Wormholes in Anti-De Sitter Space
• New family of C-metrics in $\mathcal{N}=2$ gauged supergravity
• Static spacetimes haunted by a phantom scalar field II: dilatonic charged solutions
• Wormhole $C$ metric
• Classification of static black holes in Einstein phantom/dilaton Maxwell/anti-Maxwell gravity systems
• AdS Wormholes from AdS/Ricci-flat Correspondence
• Robinson-Trautman solutions with scalar hair and Ricci flow
• Supersymmetry of the Robinson-Trautman solution
• Kerr-Schild transformation of the Benenti-Francaviglia metric
• Bulk-cone singularities and echoes from AdS exotic compact objects