论文标题
在形状不变的五维扭曲时空上的Dilaton黑洞可能解决了吗？
The Dilaton Black Hole on a Conformal Invariant Five Dimensional Warped Spacetime: Paradoxes Possibly Resolved?
论文作者
论文摘要
在较早的工作中发现的扭曲的五维时空（CDG）中，对扭曲的五维时空的确切黑洞溶液进行了彻底的研究。总而言之，我们将证明：扭曲的5D时空中CDG模型中的黑洞解决方案：1。它是公制组件以及Dilaton场的精确解决方案。 2.描述模型零的五级多项式，没有基本的奇异性。 3.如果我们写$^{（5）} g_ {μν} =ω^{4/3} {^{（5）}} {\ tilde g_ {μν}}}，^{（5）} \ tilde g_ {（5）} \ tilde g_ {μ ^{（4）} \ tilde g_ {μν} = \barΩ^2 {^{（4）}}} \ bar g {μν} $，然后$ {^{（4）}} \ bar g {μν} $正常且与$n_μ$相关。 4。它适合对抗边界条件，即使用$ \ Mathbb {c}^4 $中的klein表面嵌入投影空间中的反物点。 5。一个人可以在构建单一s-matrix时应用“ hoft的背部反应”方法，并且没有黑洞的“内部”。 6。批量的贡献决定了有效4D时空的极点。 7。五重分辨率的零可以通过二十面体方程来分析描述，即，在超代函数和椭圆形模块化函数方面。 8。可以施加klein瓶的HOPF振动。
A thorough investigation is presented of the exact black hole solution on a warped five-dimensional spacetime in conformal dilaton gravity (CDG), found in earlier work. Summarized, we will prove: The black hole solution in the CDG model on a warped 5D spacetime: 1. It is an exact solution for the metric components as well as for the dilaton field. 2.The quintic polynomial describing the zero's of the model, has no essential singularities. 3.If we write $^{(5)}g_{μν}=ω^{4/3}{^{(5)}}{\tilde g_{μν}}, ^{(5)}\tilde g_{μν}=^{(4)}\tilde g_{μν}+n_μn_ν, ^{(4)}\tilde g_{μν}=\barω^2 {^{(4)}}\bar g{μν}$ then ${^{(4)}}\bar g{μν}$ is conformally flat and with $n_μ$ the normal to the brane. 4. It fits the antipodal boundary condition, i.e., antipodal points in the projected space are identified using the embedding of a Klein surface in $\mathbb{C}^4$. 5. One can apply 't Hooft's back reaction method in constructing the unitary S-matrix and there is no "inside" of the black hole. 6. The contribution from the bulk determines the poles on the effective 4D spacetime. 7. The zeros of the quintic resolvent can analytically described by the icosahedral equation, i.e., in terms of hypergeometric functions and elliptic modular functions. 8. The Hopf fibration of the Klein bottle can be applied.
