ynogkm: A new public code for calculating time-like geodesics in the Kerr-Newman spacetime

ynogkm: A new public code for calculating time-like geodesics in the Kerr-Newman spacetime
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ynogkm:用于计算克尔-纽曼时空中的类时测地线的新公共代码

DOI:
10.1051/0004-6361/201322565
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发表时间:
2013-11
期刊:
Astronomy & Astrophysics
影响因子:
--
通讯作者:
Wang, Jian-Cheng
Wang, Jian-Cheng
中科院分区:
其他
文献类型:
--
作者:
Yang, Xiao-Lin;Wang, Jian-Cheng

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在本文中,我们提出了一个新的公共代码ynogkm (yunnan observatories geodesic In a Kerr- newman spacetime for massive particles),用于快速计算Kerr- newman (K-N)时空中的类时测地线,它是ynogk (yunnan observatories geodesic Kerr)计算Kerr时空中的零测地线的直接扩展。遵循ynogk中使用的策略,我们还通过使用Weierstrass和Jacobi的椭圆函数和积分(其中Boyer-Lidquist (B-L)坐标r, theta, phi, t和固有时sigma表示为自变量p (Mino时间)的函数)来解析和半解析地求解运动方程。所有的椭圆积分均采用卡尔森椭圆积分法计算,保证了代码的快速运行。最后,将代码应用于几个简单的问题。
In this paper, we present a new public code, named ynogkm (Yun-Nan observatories geodesic in a Kerr-Newman spacetime for massive particles), for the fast calculation of time-like geodesics in the Kerr-Newman (K-N) spacetime, which is a direct extension of ynogk (Yun-Nan observatories geodesic Kerr) calculating null geodesics in a Kerr spacetime. Following the strategies used in ynogk, we also solve the equations of motion analytically and semi-analytically by using Weierstrass' and Jacobi's elliptic functions and integrals in which the Boyer-Lidquist (B-L) coordinates r, theta, phi, t and the proper time sigma are expressed as functions of an independent variable p (Mino time). All of the elliptic integrals are computed by Carlson's elliptic integral method, which guarantees the fast speed of the code. Finally, the code is applied to a couple of toy problems.
DOI: 10.1086/173625
发表时间: 1994
期刊: The Astrophysical Journal
影响因子: --
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