论文标题

带电的klein-gordon操作员在一般宇宙学上缓慢加速和旋转带电的黑洞类型空位的一般宇宙学上,带电的klein-gordon操作员的谐振的参数构建和数值近似

Parametrix construction and numerical approximation of resonances of azimuthal harmonics of the charged Klein-Gordon operator on general cosmological slowly accelerating and rotating charged black hole type spacetimes

论文作者

Besset, Nicolas

论文摘要

我们显示了带电的Klein-Gordon操作员在通用宇宙学上,索引0的索引0弗雷姆的特性,其中包括De Sitter-Kerr-Newman家族,其中包括De Sitter-Kerr-Newman家族,使用抽象完全有特征的运营商的参数构造。然后,我们提出了一个数值方案,以计算光谱家族倒数的Meromororphic杆,并提供了数值误差的明确估计。

We show the index 0 Fredholm property of the spectral family of the azimuthal harmonics of the charged Klein-Gordon operator on general cosmological slowly accelerating and rotating charged black hole type spacetimes, including the De Sitter-Kerr-Newman family, using a parametrix construction for abstract totally characteristic operators. We then present a numerical scheme to compute the meromorphic poles of the inverse of the spectral family and provide an explicit estimate of the numerical error.

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