Hostname: page-component-788cddb947-xdx58 Total loading time: 0 Render date: 2024-10-13T19:11:20.934Z Has data issue: false hasContentIssue false
  • English
  • Français

The Fundamental theorem of Submanifolds in Braneworld Theory

Published online by Cambridge University Press:  30 September 2008

A. Oscoz ,
E. Mediavilla ,
M. Serra-Ricart  and
E.M. Monte
E.M. Monte*
Affiliation:
Universidade Federal da Paraíba, Departamento de Física-Matemática, João Pessoa, 58059-970, Pb, Brasil
Get access

Abstract

In this paper we present the mathematical consistency of braneworld theory with a new proof of the fundamental theorem of submanifolds for case of semi-Riemannian manifolds. We find the integrability conditions for the existence of space-time submanifolds in a pseudo-Euclidean space.

Type
Research Article
Information
European Astronomical Society Publications Series , Volume 30: Spanish Relativity Meeting - Encuentros Relativistas Españoles , ERE2007: Relativistic Astrophysics and Cosmology , 2008 , pp. 377 - 381
Copyright
© EAS, EDP Sciences, 2008

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Boothby, W.M., 1986, An introduction to Differentiable Manifolds and Riemannian Geometry, (Academic Press)
Einsenhart, L.P., 1966, Riemannian Geometry (New Jersey: Princeton Univ. Press)
Goenner, H.F., 1980, Local Isometric Embedding of Riemannian Manifolds and Einstein's Theory of Gravitation, General Relativity and Gravitation, 1, 441
Jacobowitz, H., 1982, Tensor, N.S., 39, 15
Kobayashi, S., & Nomizu, K., 1969, Foundations of Differential Geometry II (Interscience)
Maia, M.D., & Monte, E.M., 2002, Phys. Lett. A, 297, 9 CrossRef
Monte, E.M., & Maia, M.D., 1996, J. Math. Phys., 37, 1972 CrossRef
Tenenblat, K., 1971, Bol. Soc. Brasil Mat., 2, 23 CrossRef