General asymptotic solutions of the Einstein equations and phase transitions in quantum gravity
Abstract
We discuss generic properties of classical and quantum theories of gravity with a scalar field which are revealed at the vicinity of the cosmological singularity. When the potential of the scalar field is exponential and unbounded from below, the general solution of the Einstein equations has quasiisotropic asymptotics near the singularity instead of the usual anisotropic Belinskii  Khalatnikov  Lifshitz (BKL) asymptotics. Depending on the strength of scalar field potential, there exist two phases of quantum gravity with scalar field: one with essentially anisotropic behavior of field correlation functions near the cosmological singularity, and another with quasiisotropic behavior. The ``phase transition'' between the two phases is interpreted as the condensation of gravitons.
 Publication:

arXiv eprints
 Pub Date:
 April 2007
 DOI:
 10.48550/arXiv.0704.0354
 arXiv:
 arXiv:0704.0354
 Bibcode:
 2007arXiv0704.0354P
 Keywords:

 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology
 EPrint:
 8 pages