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arXiv 1409.2877gr-qcastro-ph.HEhep-th
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Kerr黑洞周围的非线性Q云

Non-linear Q-clouds around Kerr black holes

Carlos Herdeiro, Eugen Radu, Helgi Runarsson

摘要:

Q球是在闵可夫斯基时空中存在的规则扩展的“物体”,它是一些非引力的、自相互作用的、具有整体的、连续的、内部对称性的标量场理论的产物。在这里,类似的对象也存在于旋转(克尔)黑洞周围,作为测试标量场的非线性束缚态。我们称这种配置为Q云。我们研究了具有四次加六次自相互作用的复杂大质量标量场。在没有自相互作用的情况下,线性云已经被证明存在,与黑洞视界同步旋转,沿着克尔二维参数空间的一维子空间--存在线。它们是超辐射不稳定性的零模。另一方面,非线性Q云也与黑洞视界同步旋转;但它们存在于一个2维子空间上,由最小视界角速度和适当的存在线界定,其中非线性项变得无关紧要,Q云简化为线性云。因此,Q云提供了克尔黑洞周围标量束缚态的一个例子,一般来说,它不是超辐射不稳定性的零模。我们描述了一些物理性质的Q云,其逆反应导致一个新的家庭的毛茸茸的黑洞,不断连接到克尔家庭。

英文摘要:

Q-balls are regular extended `objects' that exist for some non-gravitating, self-interacting, scalar field theories with a global, continuous, internal symmetry, on Minkowski spacetime. Here, analogous objects are also shown to exist around rotating (Kerr) black holes, as non-linear bound states of a test scalar field. We dub such configurations Q-clouds. We focus on a complex massive scalar field with quartic plus hexic self-interactions. Without the self-interactions, linear clouds have been shown to exist, in synchronous rotation with the black hole horizon, along 1-dimensional subspaces - existence lines - of the Kerr 2-dimensional parameter space. They are zero modes of the superradiant instability. Non-linear Q-clouds, on the other hand, are also in synchronous rotation with the black hole horizon; but they exist on a 2-dimensional subspace, delimited by a minimal horizon angular velocity and by an appropriate existence line, wherein the non-linear terms become irrelevant and the Q-cloud reduces to a linear cloud. Thus, Q-clouds provide an example of scalar bound states around Kerr black holes which, generically, are not zero modes of the superradiant instability. We describe some physical properties of Q-clouds, whose backreaction leads to a new family of hairy black holes, continuously connected to the Kerr family.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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