Preparation for Earthquake in Railways

Nozawa, Shiro; Kobayashi, Mitsuo; Imai, T.; Tomori, Masahiko

doi:10.3151/coj.50.104

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“…• Wormholes in asymptotically anti-de Sitter spacetimes have attracted much attention recently, in the context of holographic entanglement. The extension of the static solutions into asymptotically (anti-)de Sitter spacetimes will be reported in the forthcoming paper [80].…”

Section: Summary and Concluding Remarksmentioning

confidence: 97%

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

Nozawa

2020

Preprint

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We present a method to generate static solutions in the Einstein-Maxwell system with a (phantom) dilaton field in n(≥ 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 R × SL(2, R)/H with the maximal subgroup H = {SO(2), 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.

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Section: Summary and Concluding Remarksmentioning

confidence: 97%

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

Nozawa

2020

Preprint

View full text Add to dashboard Cite

show abstract

Preparation for Earthquake in Railways

Cited by 1 publication

References 0 publications

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

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

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