Status of numerical relativity

MASARU SHIBATA

Graduate School of Arts and Sciences, University of Tokyo, Komaba, Meguro,

Tokyo 153-8902, Japan

E-mail: shibata@provence.c.u-tokyo.ac.jp

Abstract. I describe the current status of numerical relativity from my personal point of view. Here, I focus mainly on explaining the numerical implementations necessary for simulating general relativistic phenomena such as the merger of compact binaries and stellar collapse, emphasizing the well-developed current status of such implementations that enable simulations for several astrophysical phenomena. Some of our latest results for simulation of binary neutron star mergers are briefly presented.

Keywords. Numerical relativity; gravitational waves; black hole; neutron star.

PACS No. 04.25.Dm