论文标题
宇宙审查制度违规:一种半经典方法
Cosmic Censorship Conjecture violation: A semiclassical approach
论文作者
论文摘要
宇宙审查制度的猜想(CCC)指出,每个奇点(除了宇宙学之外)都必须出现在宇宙中。罗杰·彭罗斯(Roger Penrose)(1969年)引入了这一说法,这意味着宇宙中的每一个奇点(除大爆炸)都必须隐藏在事件视野内。从数学上讲,这是由不平等$ m^2 \ geqslant q^2 + a^2 $(在几何单位系统中)描述的,其中$ m $是黑洞的质量,$ q $它的费用和$ a:= j/m $ = j/m $其特定的角度动量。本质上,这三个数量决定了一个唯一的黑洞,如无毛定理所述。我们通过静态的,带电的黑洞研究了一个巨大的($ M_W $)未充电标量波包的发射概率,这是粒子的半经典近似。 We show that for a few values of the mass $\mathcal{M} := M+δM$ (where $M$ is the fixed value for the mass and $δM$ being a small variation to $M$ in the order of $m_w$) with different values for $δM$ and fixed charge $Q$ for the black hole, the emission probability tends to zero once the Cosmic Censorship Conjecture is close to be violated, that is,当发出的数据包使新数量$ \ MATHCAL {M}':= \ MATHCAL {M} -M_W $将违反不平等$ \ MATHCAL {M}'> Q $。
The Cosmic Censorship Conjecture (CCC) states that every singularity (except the cosmological one) must appear "dressed" in the universe. This statement was introduced by Roger Penrose (Penrose, 1969), meaning that every singularity (except the Big Bang) in the universe must be hidden inside an Event Horizon. Mathematically, this is described by the inequality $M^2 \geqslant Q^2 + a^2$ (in geometrized unit system), with $M$ being the mass of the black hole, $Q$ its charge and $a := J/M$ its specific angular momentum. Essentially, this three quantities determines uniquely a black hole, as stated by the no-hair theorem. We study the emission probability of a massive ($m_w$) uncharged scalar wave packet, a semi-classical approximation for a particle, by a static, charged black hole. We show that for a few values of the mass $\mathcal{M} := M+δM$ (where $M$ is the fixed value for the mass and $δM$ being a small variation to $M$ in the order of $m_w$) with different values for $δM$ and fixed charge $Q$ for the black hole, the emission probability tends to zero once the Cosmic Censorship Conjecture is close to be violated, that is, when the emitted packet is such that the new quantity $\mathcal{M}' := \mathcal{M}-m_w$ would violate the inequality $\mathcal{M}' > Q$.