Colliding branes and formation of spacetime singularities in superstring theory.




Tziolas, Andreas Constantine.

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A systematic study of space-times containing two timelike colliding branes is made, in the framework of 10-dimensional string theory. After developing the general formulas to describe such events, we study several classes of exact solutions and space-time singularities in both the (D+d)-dimensional string theory and its D-dimensional effective theory, obtained by Kaluza-Klein compactification. It is found that space-time singularities in the low dimensional effective theory may or may not remain after lifted to the (D+d)-dimensional string theory, depending on the specific solutions. In some cases, solutions of the low dimensional effective theory are free of singularities, but after they are lifted to string theory, the higher dimensional space-times become singular. Therefore, simply lifting low dimensional effective theories to high dimensions seemingly does not solve the singularity problem, and additional physical mechanisms are needed. In general however, the space-time is singular, due to the mutual focus of the two colliding branes. Non-singular cases also exist, but with the price that both of the colliding branes violate all the three energy conditions, weak, dominant, and strong.


Includes bibliographical references (p. 141-147).


Branes., Singularities (Mathematics), Space and time., Einstein field equations., Cosmology.