3D simulation of spindle gravitational collapse of a collisionless particle system

Chul Moon Yoo, Tomohiro Harada, Hirotada Okawa

研究成果: Article

4 引用 (Scopus)

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We simulate the spindle gravitational collapse of a collisionless particle system in a 3D numerical relativity code and compare the qualitative results with the old work done by Shapiro and Teukolsky (ST) (1991 Phys. Rev. Lett. 66 994). The simulation starts from the prolate-shaped distribution of particles and a spindle collapse is observed. The peak value and its spatial position of curvature invariants are monitored during the time evolution. We find that the peak value of the Kretschmann invariant takes a maximum at some moment, when there is no apparent horizon, and its value is greater for a finer resolution, which is consistent with what is reported in ST. We also find a similar tendency for the Weyl curvature invariant. Therefore, our results lend support to the formation of a naked singularity as a result of the axially symmetric spindle collapse of a collisionless particle system in the limit of infinite resolution. However, unlike in ST, our code does not break down then but goes well beyond. We find that the peak values of the curvature invariants start to gradually decrease with time for a certain period of time. Another notable difference from ST is that, in our case, the peak position of the Kretschmann curvature invariant is always inside the matter distribution.

元の言語English
記事番号105010
ジャーナルClassical and Quantum Gravity
34
発行部数10
DOI
出版物ステータスPublished - 2017 4 24

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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