Dynamics of intersecting brane systems -- Classification and their applications --

TL;DR

This paper classifies dynamical intersecting brane solutions in higher-dimensional gravity with applications to cosmology and black holes, revealing scenarios with broken Lorentz invariance and potential black hole models in expanding universes.

Contribution

It provides a complete classification of dynamical intersecting brane solutions in eleven-dimensional supergravity, including cases with M-waves and Kaluza-Klein monopoles, and explores their cosmological and black hole applications.

Findings

Derivation of FRW cosmological solutions from brane configurations

Identification of scenarios with Lorentz invariance breaking

Interpretation of solutions as black holes in expanding universes

Abstract

We present dynamical intersecting brane solutions in higher-dimensional gravitational theory coupled to dilaton and several forms. Assuming the forms of metric, form fields, and dilaton field, we give a complete classification of dynamical intersecting brane solutions with/without M-waves and Kaluza-Klein monopoles in eleven-dimensional supergravity. We apply these solutions to cosmology and black holes. It is shown that these give FRW cosmological solutions and in some cases Lorentz invariance is broken in our world. If we regard the bulk space as our universe, we may interpret them as black holes in the expanding universe. We also discuss lower-dimensional effective theories and point out naive effective theories may give us some solutions which are inconsistent with the higher-dimensional Einstein equations.