Numerical Boson Stars with a Single Killing Vector I. The $Dge5$ Case
Numerical Boson Stars with a Single Killing Vector I. The $Dge5$ Case
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具有单一杀伤向量的数值玻色子星 I. $Dge5$ 案例
DOI：
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发表时间：
2013
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通讯作者：
R. Mann
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作者：
Sean Stotyn;M. Chanona;R. Mann
利用最小耦合$frac{D-1}{2}$-tuplet复标量场在$D= 5，7，9，11 $维中数值构造了渐近反de Sitter玻色子星星解.该度规一般允许多个Killing矢量场，然而标量场仅在特定组合下不变，导致这种玻色子星星解仅具有单个螺旋Killing对称性。这些玻色子星形成了一个单参数解族，可以通过它们中心的能量密度来参数化。当中心能量密度趋于无穷大时，玻色子星星的角速度、质量和角动量表现出关于有限中心值的阻尼谐波振荡，而Kretschmann不变量发散，表明在这个极限下黑洞的形成。
We numerically construct asymptotically anti-de Sitter boson star solutions using a minimally coupled $frac{D-1}{2}$-tuplet complex scalar field in $D=5,7,9,11$ dimensions. The metric admits multiple Killing vector fields in general, however the scalar fields are only invariant under a particular combination, leading to such boson star solutions possessing just a single helical Killing symmetry. These boson stars form a one parameter family of solutions, which can be parametrized by the energy density at their center. As the central energy density tends to infinity, the angular velocity, mass, and angular momentum of the boson star exhibit damped harmonic oscillations about finite central values, while the Kretschmann invariant diverges, signaling the formation of a black hole in this limit.