Static spacetimes haunted by a phantom scalar field II: dilatonic charged solutions

Abstract

We present a method to generate static solutions in the Einstein-Maxwell system with a (phantom) dilaton field in $n(\ge 4)$-dimensions, based upon the symmetry of the target space for the nonlinear sigma model. Unlike the conventional Einstein-Maxwell-dilaton system, there appears a critical value of the coupling constant for a phantom dilaton field. In the noncritical case, the target space is $\mathbb{R}\times \mathrm{SL}(2,\mathbb{R})/H$ with the maximal subgroup $H=\{\mathrm{SO}(2),\mathrm{SO}(1,1)\}$, whereas in the critical case the target space becomes a symmetric pp-wave and the corresponding Killing vectors form a non-semisimple algebra. In either case, we apply the formalism to charge up the neutral solutions and show the analytical expression for dilatonic charged versions of (i) the Fisher solution, (ii) the Gibbons solution, and (iii) the Ellis-Bronnikov solution. We discuss global structures of these solutions in detail. It turns out that some solutions contained in the Fisher and Gibbons classes possess the parallelly propagated (p.p) curvature singularities in the parameter region where all the scalar curvature invariants remain bounded. These p.p curvature singularities are not veiled by a horizon, thrusting them into physically untenable nakedly singular spacetimes. We also demonstrate that the dilatonic-charged Ellis-Bronnikov solution admits a parameter range under which the solution represents a regular wormhole spacetime in the two-sided asymptotically flat regions.

arXiv comment2 figures, 1 table, 33 pages; v2: refs added, to appear in PRD

References in corpus (43)

• A Phantom Menace? Cosmological consequences of a dark energy component with super-negative equation of state
• Phantom Energy and Cosmic Doomsday
• Late-time cosmology in (phantom) scalar-tensor theory: dark energy and the cosmic speed-up
• Quantum deSitter cosmology and phantom matter
• A WZW model based on a non-semi-simple group
• Higher-dimensional resolution of dilatonic black hole singularities
• Dynamic wormholes, anti-trapped surfaces, and energy conditions
• Phantom cosmologies
• Charged Dilaton Black Holes with Unusual Asymptotics
• Scalar mesostatic field with regard for gravitational effects
• Example of a stable wormhole in general relativity
• Phantom Black Holes in Einstein-Maxwell-Dilaton Theory
• Generating branes via sigma-models
• Dyson Pairs and Zero-Mass Black Holes
• The exponential metric represents a traversable wormhole
• Charged Ellis Wormhole and Black Bounce
• Wormholes in higher dimensional space-time: Exact solutions and their linear stability analysis
• Non-asymptotically flat, non-dS/AdS dyonic black holes in dilaton gravity
• Energy conditions in arbitrary dimensions
• Phantom Black Holes and Sigma Models
• On the instability of charged wormholes supported by a ghost scalar field
• Phantom wormholes in Einstein-Maxwell-dilaton theory
• Symmetries of the stationary Einstein--Maxwell--dilaton theory
• Flare-out condition of Morris-Thorne wormhole and finiteness of pressure
• Weyl metrics and wormholes
• Evaporation and Fate of Dilatonic Black Holes
• On the linear instability of the Ellis-Bronnikov-Morris-Thorne wormhole
• Ring Wormholes in D-Dimensional Einstein and Dilaton Gravity
• Static spacetimes haunted by a phantom scalar field: classification and global structure in the massless case
• Einstein-Maxwell-Dilatonic phantom black holes: Thermodynamics and geometrothermodynamics
• Uniqueness of higher-dimensional phantom field wormholes
• On the Bogomol'nyi bound in Einstein-Maxwell-dilaton gravity
• Uniqueness theorem for static wormholes in Einstein-phantom scalar field theory
• Static spacetimes haunted by a phantom scalar field III: asymptotically (A)dS solutions
• Stationary cylindrically symmetric spacetimes with a massless scalar field and a non-positive cosmological constant
• Asymptotically and non-asymptotically flat static black rings in charged dilaton gravity
• Uniqueness theorem for static phantom wormholes in Einstein-Maxwell-dilaton theory
• Generating solutions via sigma-models
• Uniqueness of higher-dimensional Einstein-Maxwell-phantom dilaton wormholes
• Divergence equations and uniqueness theorem of static black holes
• Counting the number of Killing vectors in a 3D spacetime
• General Static Spherical Solutions of d-dimensional Charged Dilaton Gravity Theories
• Higher-dimensional Buchdahl and Janis-Robinson-Winicour transformations in the Einstein-Maxwell system with a massless scalar field

Cited by in corpus (9)

• Static spacetimes haunted by a phantom scalar field: classification and global structure in the massless case
• Trapping Horizons of the Evolving Charged Wormhole and Black Bounce
• Static spacetimes haunted by a phantom scalar field III: asymptotically (A)dS solutions
• Wormhole $C$ metric
• Charged Dilatonic Spacetimes in String Theory
• Classification of static black holes in Einstein phantom/dilaton Maxwell/anti-Maxwell gravity systems
• Multi-Sheet Wormholes in the Gravitational Soliton Formalism
• Robinson-Trautman solutions with scalar hair and Ricci flow
• Deflection in higher dimensional spacetime and asymptotically non-flat spacetimes