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MGAT5 - Higher Dimensional Theories

Speaker

Keresztes, Zoltan

Co-autors

László Á. Gergely

Talk Title

3+1+1 covariant gravitational dynamics

Abstract

We derive the full set of evolution and constraint equations governing gravitational dynamics in a 3+1+1 covariant form, for applications to brane-world physics. We decompose the geometry, the sources and the Lanczos equation. We also discuss the gauge freedom related to the linear order frame transformations. This formalism is both a generalization of the brane 3+1 covariant cosmology (which in turn is a generalization of the general relativistic 3+1 covariant cosmology) and of the s+1+1 covariant brane-world dynamics for the case of a velocity field with vorticity.

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