TY - JOUR

T1 - Gravitational collapse of a massless scalar field in a periodic box

AU - Yoo, Chul Moon

AU - Ikeda, Taishi

AU - Okawa, Hirotada

PY - 2019/3/11

Y1 - 2019/3/11

N2 - Gravitational collapse of a massless scalar field with the periodic boundary condition in a cubic box is reported. This system can be regarded as a lattice universe model. We construct the initial data for a Gaussian-like profile of the scalar field taking the integrability condition associated with the periodic boundary condition into account. For a large initial amplitude, a black hole is formed after a certain period of time. While the scalar field spreads out in the whole region for a small initial amplitude. It is shown that the expansion law in a late time approaches that of the radiation dominated universe and the matter dominated universe for the small and large initial amplitude cases, respectively. For the large initial amplitude case, the horizon is initially a past outer trapping horizon, whose area decreases with time, and after a certain period of time, it turns to a future outer trapping horizon with the increasing area.

AB - Gravitational collapse of a massless scalar field with the periodic boundary condition in a cubic box is reported. This system can be regarded as a lattice universe model. We construct the initial data for a Gaussian-like profile of the scalar field taking the integrability condition associated with the periodic boundary condition into account. For a large initial amplitude, a black hole is formed after a certain period of time. While the scalar field spreads out in the whole region for a small initial amplitude. It is shown that the expansion law in a late time approaches that of the radiation dominated universe and the matter dominated universe for the small and large initial amplitude cases, respectively. For the large initial amplitude case, the horizon is initially a past outer trapping horizon, whose area decreases with time, and after a certain period of time, it turns to a future outer trapping horizon with the increasing area.

KW - black hole

KW - gravitational collapse

KW - lattice universe

UR - http://www.scopus.com/inward/record.url?scp=85064084017&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85064084017&partnerID=8YFLogxK

U2 - 10.1088/1361-6382/ab06e2

DO - 10.1088/1361-6382/ab06e2

M3 - Article

AN - SCOPUS:85064084017

VL - 36

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

SN - 0264-9381

IS - 7

M1 - 075004

ER -