Gravitational radiation from even-parity perturbations of stellar collapse: Mathematical formalism and numerical methods.
Gravitational radiation from even-parity perturbations of stellar collapse: Mathematical formalism and numerical methods.
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恒星塌缩偶宇称扰动产生的引力辐射：数学形式主义和数值方法。
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发表时间：
1990
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通讯作者：
Seidel
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作者：
Seidel
在本文中，我们开发的数学形式主义需要研究偶宇称扰动的球形恒星坍缩模型，计算恒星坍缩到黑洞或II型超新星爆炸过程中发出的引力辐射的目标。我们专注于开发一套规范不变的扰动量，无论是在星星内部和外部的真空周围的星星，他们的演化方程，方程匹配的两套扰动量在恒星表面。球背景度规被假定为对角的，该方法已被应用到May-White恒星坍缩代码。我们还讨论了我们选择的恒星背景和扰动场的初始条件。最后，我们讨论了该系统的数值解的计算机代码，并对已知的结果进行了各种代码测试。
In this paper we develop the mathematical formalism needed to study even-parity perturbations of spherical stellar collapse models, with the goal of calculating the gravitational radiation emitted during a stellar collapse to a black hole or a type-II supernova explosion. We concentrate on developing a set of gauge-invariant perturbation quantities, both inside the star and outside in the vacuum surrounding the star, their evolution equations, and equations which match the two sets of perturbation quantities at the stellar surface. The spherical background metric is assumed to be diagonal, and the method has been applied to a May-White stellar collapse code. We also discuss the initial conditions which we choose for both the stellar background and the perturbation fields. Finally, we discuss the numerical solution of this system in a computer code, and various code tests against known results.