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1. Stable numerical simulation of Einstein equations in gravitational collapse space-time.

Author

Takuya Tsuchiya, Ryosuke Urakawa, and Gen Yoneda

Subjects
EINSTEIN field equations, COMPUTER simulation, GRAVITATIONAL collapse, BOUNDARY value problems, NUMERICAL analysis
Abstract

We perform simulations in a gravitational collapsing model using the Einstein equations. In this paper, we review the equations for constructing the initial values and the evolution form of the Einstein equations called the BSSN formulation. In addition, since we treat a nonvacuum case, we review the evolution equations of the matter fields of a perfect uid. To make the simulations stable, we propose a modified system, which decreases numerical errors in analysis, and we actually perform stable simulations with decreased numerical errors. [ABSTRACT FROM AUTHOR]

Published
2022