Anisotropic invariance in minisuperspace models

作者：Chagoya Javier^*; Sabido Miguel

来源：Classical and Quantum Gravity, 2016, 33(12): 125023.

DOI：10.1088/0264-9381/33/12/125023

• quantum cosmology
• anisotropic cosmological models
• problem of time

In this paper we introduce invariance under anisotropic transformations to cosmology. This invariance is one of the key ingredients of the theory of quantum gravity at a Lifshitz point put forward by Horava. We find that this new symmetry in the minisuperspace introduces characteristics to the model that can be relevant in the ultraviolet regime. For example, by canonical quantization we find a Schrodinger-type equation which avoids the problem of frozen time in quantum cosmology. For simple cases we obtain solutions to this quantum equation in a Kantowski-Sachs (KS) minisuperspace. At the classical level, we study KS and Friedmann-Robertson-Walker cosmologies, obtaining modifications to the solutions of general relativity that can be relevant in the early Universe.

• 出版日期2016-6-23