Nonlinear superhorizon perturbation and nonlinear gauge transformation

Yuichi Takamizu, Atsushi Naruko, Misao Sasaki

Research output: Contribution to conferencePaper

Abstract

We develop a theory of nonlinear cosmological perturbations on superhorizon scales for a multi-component scalar field with a general kinetic term and a general form of the potential in the context of inflationary cosmology. We employ the ADM formalism and the spatial gradient expansion approach valid up to second-order in the expansion. We provide a formalism to obtain the solution in the multi-field case and also derive fully nonlinear gauge transformation rules valid through second-order. These fully nonlinear gauge transformation rules can be used to derive the solution in a desired gauge from the one in a gauge where computations are much simpler.

Original languageEnglish
Number of pages1
Publication statusPublished - 2012 Dec 1
Event22nd Workshop on General Relativity and Gravitation in Japan 2012, JGRG 22 - Hongo, Tokyo, Japan
Duration: 2012 Nov 122012 Nov 16

Other

Other22nd Workshop on General Relativity and Gravitation in Japan 2012, JGRG 22
CountryJapan
CityHongo, Tokyo
Period12/11/1212/11/16

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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    Takamizu, Y., Naruko, A., & Sasaki, M. (2012). Nonlinear superhorizon perturbation and nonlinear gauge transformation. Paper presented at 22nd Workshop on General Relativity and Gravitation in Japan 2012, JGRG 22, Hongo, Tokyo, Japan.