corner
corner

Phys. Rev. D 57, 3340–3350 (1998)

Renormalization group approach to the Einstein equation in cosmology

Download: PDF (215 kB) Buy this article Export: BibTeX or EndNote (RIS)

Osamu Iguchi* and Akio Hosoya
Department of Physics, Tokyo Institute of Technology, Oh-Okayama Meguro-ku, Tokyo 152, Japan

Tatsuhiko Koike
Department of Physics, Keio University, Hiyoshi, Kohoku, Yokohama 223, Japan

Received 16 September 1997; published in the issue dated 15 March 1998

The renormalization group method has been adapted to the analysis of the long-time behavior of the nonlinear partial differential equation and has demonstrated its power in the study of critical phenomena of gravitational collapse. In the present work we apply the renormalization group to the Einstein equation in cosmology and carry out a detailed analysis of renormalization group flow in the vicinity of the scale invariant fixed point in the spherically symmetric and inhomogeneous dust filled universe model.

© 1998 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.57.3340
DOI:
10.1103/PhysRevD.57.3340
PACS:
98.80.Hw, 64.60.Ak

*Email address: osamu@th.phys.titech.ac.jp

Email address: ahosoya@th.phys.titech.ac.jp

Email address: koike@rk.phys.keio.ac.jp