Dynamics of membranes with symmetry and projection formalism

Hiroshi Kozaki, Tatsuhiko Koike, Hideki Ishihara

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We investigate dynamics of membrane with cohomogeneity-one symmetry. The cohomogeneity-one membrane has world surface foliated by two-dimensional orbits of isometry group. We show that the Nambu-Goto equations of motion reduce to geodesic equations in the orbit space. We also clarify the form of the metric provided to the orbit space. The generalization to higher dimensional object with cohomogeneity-one symmetry in higher dimensional spacetime is discussed.

Original languageEnglish
Title of host publicationProceedings of the 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010
Pages246-249
Number of pages4
Publication statusPublished - 2010
Event20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010 - Kyoto, Japan
Duration: 2010 Sep 212010 Sep 25

Other

Other20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010
CountryJapan
CityKyoto
Period10/9/2110/9/25

Fingerprint

projection
formalism
membranes
orbits
symmetry
equations of motion

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Kozaki, H., Koike, T., & Ishihara, H. (2010). Dynamics of membranes with symmetry and projection formalism. In Proceedings of the 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010 (pp. 246-249)

Dynamics of membranes with symmetry and projection formalism. / Kozaki, Hiroshi; Koike, Tatsuhiko; Ishihara, Hideki.

Proceedings of the 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010. 2010. p. 246-249.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Kozaki, H, Koike, T & Ishihara, H 2010, Dynamics of membranes with symmetry and projection formalism. in Proceedings of the 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010. pp. 246-249, 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010, Kyoto, Japan, 10/9/21.
Kozaki H, Koike T, Ishihara H. Dynamics of membranes with symmetry and projection formalism. In Proceedings of the 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010. 2010. p. 246-249
Kozaki, Hiroshi ; Koike, Tatsuhiko ; Ishihara, Hideki. / Dynamics of membranes with symmetry and projection formalism. Proceedings of the 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010. 2010. pp. 246-249
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