论文标题

坚固的宇宙审查制度猜想,并用坚果电荷和保形耦合

Strong cosmic censorship conjecture with NUT charge and conformal coupling

论文作者

Rahman, Mostafizur, Mitra, Soumodeep, Chakraborty, Sumanta

论文摘要

强有力的宇宙审查猜想对于一般相对性的确定性性质至关重要,因为它断言鉴于对空位类似超浮脸的任何通用初始数据,因此可以独特地预测未来。然而,最近发现,对于渐近地点的带电的黑洞,可以将公制和无质量标量场延伸到考奇(Cauchy)地平线之外。这阐明了强大的宇宙审查制度猜想的厄运,这完全禁止这种情况。在这项工作中,我们试图通过研究螺母电荷和共同耦合标量场对违反强宇宙审查构想的侵犯的效果来理解上述情况的通用性。我们已经表明,即使存在螺母电荷和共形耦合的标量场强的宇宙审查猜想,确实违反了与凯奇·地平线这样的黑洞。此外,在某种意义上说,标量字段可以扩展为$ c^{1} $函数,因此,共形耦合的存在使情况变得更糟。另一方面,在用螺母电荷旋转黑洞的空位中,强大的宇宙审查制度猜想是对共形耦合标量场的尊重。这加剧了这样一种信念,即可能是天体物理黑洞,强有力的宇宙审查制度猜想是尊重的,无论标量领域的性质如何。

Strong cosmic censorship conjecture is central to the deterministic nature of general relativity, since it asserts that given any generic initial data on a spacelike hypersurface, the future can be uniquely predicted. However, recently it has been found that for charged black holes in asymptotically de Sitter spacetimes, the metric and massless scalar fields can be extended beyond the Cauchy horizon. This spells doom on the strong cosmic censorship conjecture, which prohibits precisely this scenario. In this work we try to understand the genericness of the above situation by studying the effect of NUT charge and conformally coupled scalar field on the violation of strong cosmic censorship conjecture for charged asymptotically de Sitter black holes. We have shown that even in the presence of the NUT charge and a conformally coupled scalar field strong cosmic censorship conjecture in indeed violated for such black holes with Cauchy horizon. Moreover, the presence of conformal coupling makes the situation even worse, in the sense that the scalar field is extendible across the Cauchy horizon as a $C^{1}$ function. On the other hand, the strong cosmic censorship conjecture is respected for conformally coupled scalar field in rotating black hole spacetimes with NUT charge. This reinforces the belief that possibly for astrophysical black holes, strong cosmic censorship conjecture is respected, irrespective of the nature of the scalar field.

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