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arXiv 2202.06706hep-thgr-qc
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AdS-Taub-NUT时空与纯量头发的正合黑反弹

AdS-Taub-NUT spacetimes and exact black bounces with scalar hair

José Barrientos, Adolfo Cisterna, Nicolás Mora, Adriano Viganò

备注：
Published PRD version
发表信息：
Phys. Rev. D 106, 024038 (2022)
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摘要：

在Einstein- $Λ$理论中，我们提出了一个新的精确四维Taub-NUT时空族，该时空中加入了一个具有幂次计算的超重整化势的共形耦合标量场.建设进行如下：一个解决方案的共形耦合理论与共形的潜力，此后的种子$(g_{μν},ϕ)$，是由一个特定的变化框架的行动，除了与种子标量的同时移位。新的配置，$(\bar{g}_{μν},\barϕ)$，解决了上述超重整化潜力的共形耦合理论的场方程。种子的溶液光谱是众所周知的增强。我们强调存在两种类型的确切的黑色反弹德西特和反德西特几何，过境跨越三个不同的配置。德西特几何从一个具有事件视界和宇宙视界的规则黑洞过渡到一个连接两个具有不同渐近宇宙学常数值的德西特宇宙的弹跳宇宙学。一个由德西特虫洞或由连接两个德西特宇宙的弹跳宇宙学代表的中间阶段被显示出来，这是在宇宙学视界的存在下。另一方面，反德西特几何过渡从一个规则的黑洞与内部和事件视界的虫洞，连接两个渐近边界具有不同的常数曲率。中间阶段是由一个反德西特规则黑洞与一个单一的事件视界，出现在两个不同的设置。作为反德西特虫洞内部的规则反德西特黑洞或者作为具有内部宇宙学反弹的反德西特规则黑洞。这些几何图形仅通过mass参数平滑连接。其他的黑洞，弹跳宇宙学和虫洞也被发现。

英文摘要：

We present a new family of exact four-dimensional Taub-NUT spacetimes in Einstein-$Λ$ theory supplemented with a conformally coupled scalar field exhibiting a power-counting super-renormalizable potential. The construction proceeds as follows: A solution of a conformally coupled theory with a conformal potential, henceforth the seed $(g_{μν},ϕ)$, is transformed by the action of a specific change of frame in addition with a simultaneous shift of the seed scalar. The new configuration, $(\bar{g}_{μν},\barϕ)$, solves the field equations of a conformally coupled theory with the aforementioned super-renormalizable potential. The solution spectrum of the seed is notoriously enhanced. We highlight the existence of two types of exact black bounces given by de Sitter and anti-de Sitter geometries that transit across three different configurations each. The de Sitter geometries transit from a regular black hole with event and cosmological horizons to a bouncing cosmology connecting two de Sitter Universes with different values of the asymptotic cosmological constant. An intermediate phase represented by a de Sitter wormhole or by a bouncing cosmology that connects two de Sitter Universes is shown, this under the presence of a cosmological horizon. On the other hand, the anti-de Sitter geometries transit from a regular black hole with inner and event horizons to a wormhole that connects two asymptotic boundaries with different constant curvatures. The intermediate phase is given by an anti-de Sitter regular black hole with a single event horizon that appears in two different settings. As a regular anti-de Sitter black hole inside of an anti-de Sitter wormhole or as an anti-de Sitter regular black hole with an internal cosmological bounce. These geometries are smoothly connected by the mass parameter only. Other black holes, bouncing cosmologies and wormholes are also found.

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