Exact Harmonic Metric for a Uniformly Moving Schwarzschild Black Hole

The harmonic metric for Schwarzschild black hole with a uniform velocity is presented. In the limit of weak field and low velocity, this metric reduces to the post-Newtonian approximation for one moving point mass. As an application, we derive the dynamics of particle and photon in the weak-field li...

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Published inCommunications in theoretical physics Vol. 61; no. 2; pp. 270 - 272
Main Author 何观圣 林文斌
Format Journal Article
LanguageEnglish
Published 01.02.2014
Subjects
Approximation
Black holes (astronomy)
Centripetal force
Dynamics
Gravitation
Harmonics
Mathematical analysis
Photons
Theoretical physics
匀速运动
史瓦西黑洞
向心力
引力源
点数
相对论运动
谐波
速度
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Summary:The harmonic metric for Schwarzschild black hole with a uniform velocity is presented. In the limit of weak field and low velocity, this metric reduces to the post-Newtonian approximation for one moving point mass. As an application, we derive the dynamics of particle and photon in the weak-field limit for the moving Schwarzschild black hole with an arbitrary velocity. It is found that the relativistic motion of gravitational source can induce an additional centripetal force on the test particle, which may be comparable to or even larger than the conventional Newtonian gravitational force.
Bibliography:The harmonic metric for Schwarzschild black hole with a uniform velocity is presented. In the limit of weak field and low velocity, this metric reduces to the post-Newtonian approximation for one moving point mass. As an application, we derive the dynamics of particle and photon in the weak-field limit for the moving Schwarzschild black hole with an arbitrary velocity. It is found that the relativistic motion of gravitational source can induce an additional centripetal force on the test particle, which may be comparable to or even larger than the conventional Newtonian gravitational force.
HE Guan-Sheng and LIN Wen-Bin （School of Physical Science and Technology, Southwest Jiaotong University, Chengdu 610031, China）
Schwarzschild black hole, Harmonic coordinates, post-Newtonian dynamics, moving source
11-2592/O3
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0253-6102
1572-9494
DOI:10.1088/0253-6102/61/2/21