An axisymmetric evolution code for the Einstein equations on hyperboloidal slices
An axisymmetric evolution code for the Einstein equations on hyperboloidal slices
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双曲面切片上爱因斯坦方程的轴对称演化代码
DOI：
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
O. Rinne
中科院分区：
文献类型：
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作者：
O. Rinne
我们提出了第一个稳定的动力学数值演化的爱因斯坦方程的共形重新标度度量的双曲面延伸到未来的零无穷大。为了减少计算量，采用了轴对称的方法。该配方是基于较早的轴对称演化计划，适应于恒定平均曲率的时间片。从以前的研究Moncrief和作者的想法，以正规化的形式奇异的发展方程在未来的零无穷大。得到了史瓦西时空在引力扰动下的长期稳定和收敛演化。Bondi news函数在未来的null无穷大处求值。
We present the first stable dynamical numerical evolutions of the Einstein equations in terms of a conformally rescaled metric on hyperboloidal hypersurfaces extending to future null infinity. Axisymmetry is imposed in order to reduce the computational cost. The formulation is based on an earlier axisymmetric evolution scheme, adapted to time slices of constant mean curvature. Ideas from a previous study by Moncrief and the author are applied in order to regularize the formally singular evolution equations at future null infinity. Long-term stable and convergent evolutions of Schwarzschild spacetime are obtained, including a gravitational perturbation. The Bondi news function is evaluated at future null infinity.