Static spacetimes haunted by a phantom scalar field. III. Asymptotically (A)dS solutions
Static spacetimes haunted by a phantom scalar field. III. Asymptotically (A)dS solutions
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DOI：
10.1103/physrevd.103.024005
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发表时间：
2020-10
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影响因子：
--
通讯作者：
Masato Nozawa
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文献类型：
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作者：
Masato Nozawa
$n（\ge 4）$维Einstein-phantom-scalar系统的静态球对称解可分为三类：（i）Fisher解，（ii）Ellis-Gibbons解，（iii）Ellis-Bronnikov解.我们利用这些解决方案作为种子产生一堆相应的渐近（A）dS时空，在引入标量场的潜力的价格。尽管每种溶液的势都不同，但每种势都是用超势来表示的，就像在超引力中一样。我们详细讨论了这些解决方案的全球结构，并拼出域的参数下，每个解决方案代表一个黑洞/虫洞。Ellis-Bronnikov类的解决方案提出了新的例子，球面可穿越虫洞内插两个不同的（A）dS临界点的（超）潜力。
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.