Spontaneous Creation of the Brane World and Direction of the Time Arrow

TL;DR

This paper explores how a brane world can spontaneously form in a five-dimensional space with an external field, revealing multiple possible time directions and the emergence of S-branes through analytic continuation.

Contribution

It introduces a novel spherically asymmetric bounce solution for brane creation and links it to multiple time arrow directions and S-brane emergence.

Findings

Multiple inequivalent time directions are suggested by the asymmetric bounce.

S-branes naturally emerge in the imaginary time after continuation.

The model provides insights into the spontaneous origin of brane worlds.

Abstract

In this note we consider the spontaneous creation of the brane world in five-dimensional space with nondynamical external four-form field via spherically asymmetric bounce solution. We argue that spherically asymmetric bounce suggests several inequivalent directions of the time arrow upon the analytic continuation to the space-time with Lorentzian signature. It it shown that S-branes in the imaginary time emerge naturally upon the particular continuation.