Renormalization of Long-wavelength Solution of Einstein Equation

Details Renormalization of Long-wavelength Solution of Einstein Equation Renormalization of Long-wavelength Solution of Einstein Equation

1999-04-21

arxiv.org/abs/gr-qc/9904053v1

Phys.Rev. D60 (1999) 104011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, 1 figure, typeset by REVTeX

Scientific paper

10.1103/PhysRevD.60.104011

Using the renormalization group method, we improved the first order solution of the long-wavelength expansion of the Einstein equation. By assuming that the renormalization group transformation has the property of Lie group, we can regularize the secular divergence caused by the spatial gradient terms and absorb it to the background seed metric. The solution of the renormalization group equation shows that the renormalized metric describes the behavior of gravitational collapse in the expanding universe qualitatively well.

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