Chapter 9. Higher-Dimensional Numerical Relativity: Current Status | Zendy

Hirotaka Yoshino | Zendy; Masaru Shibata | Zendy

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Chapter 9. Higher-Dimensional Numerical Relativity: Current Status

Author(s) -

Hirotaka Yoshino,

Masaru Shibata

Publication year - 2011

Publication title -

progress of theoretical physics supplement

Language(s) - English

Resource type - Journals

ISSN - 0375-9687

DOI - 10.1143/ptps.189.269

Subject(s) - numerical relativity , spacetime , physics , current (fluid) , theoretical physics , gauge (firearms) , instability , black string , homogeneous space , theory of relativity , classical mechanics , black hole (networking) , general relativity , bar (unit) , mechanics , black brane , geometry , computer science , mathematics , quantum mechanics , extremal black hole , routing (electronic design automation) , entropy (arrow of time) , history , computer network , routing protocol , archaeology , thermodynamics , meteorology , link state routing protocol

We summarize the current status of numerical relativity for higher-dimensional spacetimes. In the first part, the ingredients necessary for successful simulations developed to date are summarized, including formulations, methods of implementing spacetime symmetries, and gauge conditions. In the second part, we review the simulations performed so far, such as time evolution of a black string that is unstable against the Gregory-Laflamme instability, black hole collisions and scatterings, and time evolution of rapidly rotating MyersPerry (MP) black holes with one rotational parameter which are unstable against bar-mode deformation. The remaining issues and expected future developments are briefly described.

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