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Epicyclic frequencies derived from the effective potential: simple and practical formulae

机译:有效电位产生的周转频率:简单实用的公式

摘要

We present and discuss a short and simple derivation of orbital epicyclic frequencies for circular geodesic orbits in stationary and axially symmetric spacetimes. Such spacetimes include as special cases analytically known black hole Kerr and Schwarzschild spacetimes, as well as the analytic Hartle-Thorne spacetime and all numerically constructed spacetimes relevant for rotating neutron stars. Our derivation follows directly from energy and angular momentum conservation and it uses the concept of the effective potential. It has never been published, except for a few special cases, but it has already become a part of the common knowledge in the field.
机译:我们提出并讨论了静止和轴向对称时空中圆形测地轨道的轨道周转频率的短而简单的推导。这些时空包括特殊情况下的解析已知的黑洞Kerr和Schwarzschild时空,以及解析的Hartle-Thorne时空以及所有与旋转中子星有关的数字构造的时空。我们的推导直接来自能量和角动量守恒,并使用有效势的概念。除少数特殊情况外,它从未出版过,但已成为该领域常识的一部分。

著录项

  • 作者

    Abramowicz M A; Kluzniak W;

  • 作者单位
  • 年度 2004
  • 总页数
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类

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