论文标题

普通的海沃德空间:几何,物质和标量准模式

Generalised Hayward spacetimes: Geometry, matter and scalar quasinormal modes

论文作者

Roy, Poulami Dutta, Kar, Sayan

论文摘要

Bardeen在1968年关于常规黑洞时空的想法在2006年通过建造了这种几何形状的新例子而恢复了。后来,Neves和Saa意识到,Bardeen和Hayward SpaceTimes作为特殊情况,存在更广泛的两参数类别。在本文中,我们通过应用Damour-Solodukhin(DS)处方来重新访问和概括Hayward时空。召回变形的schwarzschild时空的建议,其中$ g_ {tt} = - \ left(1- \ frac {2m_1} {r} {r} {r} \ right)$,$ g_ {rr} = \ left(1- \ frac {2m_2} M_2 $,我们提出了类似的Hayward几何形状变形。原始Hayward行元素中的$ g_ {tt} $和$ g_ {rr} $在功能上保持相同,{\ em albeit}突变是通过DS Idea引入的不同价值的度量参数引入的。这导致了很多时空几何形状,包括新的,包括新的黑洞,虫洞或常规黑洞。我们首先要详细研究每个此类空间的几何特征和物质内容。随后,我们发现标量准模式对应于这些几何形状中的标量波传播。我们研究了准模式的实际和虚构部分如何取决于用于对几何形状进行分类的度量参数的值和范围。最后,我们认为我们对这个空间家族的结果如何表明它们是黑洞模仿的实用性。

Bardeen's 1968 idea of a regular black hole spacetime was revived by Hayward in 2006 through the construction of a new example of such a geometry. Later it was realised by Neves and Saa, that a wider, two-parameter class exists, with Bardeen and Hayward spacetimes as special cases. In this article, we revisit and generalise the Hayward spacetime by applying the Damour-Solodukhin (DS) prescription. Recalling the DS suggestion of a deformed Schwarzschild spacetime where $g_{tt} = -\left (1-\frac{2M_1}{r}\right )$, $g_{rr} = \left (1-\frac{2M_2}{r}\right )^{-1}$ and $M_1\neq M_2$, we propose a similar deformation of the Hayward geometry. The $g_{tt}$ and $g_{rr}$ in the original Hayward line element remain functionally the same, {\em albeit} mutations introduced via differently valued metric parameters, following the DS idea. This results in a plethora of spacetime geometries, known as well as new, and including singular black holes, wormholes or regular black holes. We first study the geometric features and matter content of each of such spacetimes in some detail. Subsequently, we find the scalar quasinormal modes corresponding to scalar wave propagation in these geometries. We investigate how the real and imaginary parts of the quasinormal modes depend on the values and ranges of the metric parameters used to classify the geometries. Finally, we argue how our results on this family of spacetimes suggest their utility as black hole mimickers.

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