Renormalization group approach to the Einstein equation in cosmology

Osamu Iguchi, Akio Hosoya, and Tatsuhiko Koike
Phys. Rev. D 57, 3340 – Published 15 March 1998
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Abstract

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.

  • Received 16 September 1997

DOI:https://doi.org/10.1103/PhysRevD.57.3340

©1998 American Physical Society

Authors & Affiliations

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

  • *Email address: osamu@th.phys.titech.ac.jp
  • Email address: ahosoya@th.phys.titech.ac.jp
  • Email address: koike@rk.phys.keio.ac.jp

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Issue

Vol. 57, Iss. 6 — 15 March 1998

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