The Cosmological Singularity
Abstract
Written for researchers focusing on general relativity, supergravity, and cosmology, this is a selfcontained exposition of the structure of the cosmological singularity in generic solutions of the Einstein equations, and an uptodate mathematical derivation of the theory underlying the BelinskiKhalatnikovLifshitz (BKL) conjecture on this field. Part I provides a comprehensive review of the theory underlying the BKL conjecture. The generic asymptotic behavior near the cosmological singularity of the gravitational field, and fields describing other kinds of matter, is explained in detail. Part II focuses on the billiard reformulation of the BKL behavior. Taking a general approach, this section does not assume any simplifying symmetry conditions and applies to theories involving a range of matter fields and spacetime dimensions, including supergravities. Overall, this book will equip theoretical and mathematical physicists with the theoretical fundamentals of the Big Bang, Big Crunch, Black Hole singularities, the billiard description, and emergent mathematical structures.
 Publication:

The Cosmological Singularity
 Pub Date:
 2018
 DOI:
 10.1017/9781107239333
 Bibcode:
 2018cosm.book.....B