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

Masato Nozawa
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引用次数: 5

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.
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被虚标量场困扰的静态时空。3渐近(A)dS解
n维爱因斯坦-幻影-标量系统的静态和球对称解可分为三类:(i) Fisher解,(ii) Ellis-Gibbons解和(iii) Ellis-Bronnikov解。我们利用这些解作为种子,以引入标量场的势为代价,生成一堆相应的渐近(a)dS时空。尽管每种溶液的势是不同的,但每个势都是用超引力中的超势来表示的。我们详细讨论了这些解的全局结构,并详细说明了每个解代表一个黑洞/虫洞的参数域。Ellis-Bronnikov类解给出了球面可穿越虫洞的新例子,这些虫洞插入了(超)势的两个不同(A)dS临界点。
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