论文标题
高斯无效的坐标，近水压的几何形状和保守的指控在极端非二元黑色$ p $ branes的地平线
Gaussian null coordinates, near-horizon geometry and conserved charges on the horizon of extremal non-dilatonic black $p$-branes
论文作者
论文摘要
在本文中，我们研究了特定类别的极端非二元黑色$ p $ branes（在圆环紧凑型时$ d = 4 $尺寸）的特定类别非二元黑色$ p $ branes的水平上的出现。通过在高斯无效坐标系中编写黑色$ p $ brane几何形状来实现这一结果，该几何使我们能够获得非敏感的近摩恩几何形状描述。我们发现，近摩尼子几何形状为$ ads_ {p+2} \ times s^2 $，并且$ ads_ {p+2} $ extarts具有内部结构，可以看作是$ ads_ {2} {2} \ times s^{p} $ in Ghussian null null coordinates的翘曲产物。我们表明，满足字段方程的批量标量字段是根据不可差异和可正常化的模式扩展的，对于某些合适的量化条件，在$ ads_ {p+2} $ space的边界上，该模式在某些合适的量化条件下进行了很好的行为。此外，我们表明选择可正常的模式会导致存在保守量的地平线。我们讨论了这些保守数量在晚期制度中的影响。
In this paper, we examine the emergence of conserved charges on the horizon of a particular class of extremal non-dilatonic black $p$-branes (which reduce to extremal dilatonic black holes in $D=4$ dimensions upon toroidal compactification) in the presence of a probe massless scalar field in the bulk. This result is achieved by writing the black $p$-brane geometry in a Gaussian null coordinate system which allows us to get a non-singular near-horizon geometry description. We find that the near-horizon geometry is $AdS_{p+2}\times S^2$ and that the $AdS_{p+2}$ section has an internal structure which can be seen as a warped product of $AdS_{2}\times S^{p}$ in Gaussian null coordinates. We show that the bulk scalar field satisfying the field equations is expanded in terms of non-normalizable and normalizable modes, which for certain suitable quantization conditions are well-behaved at the boundary of $AdS_{p+2}$ space. Furthermore, we show that picking the normalizable modes results in the existence of conserved quantities on the horizon. We discuss the impact of these conserved quantities in the late time regime.
