Anisotropic invariance in minisuperspace models. (19th May 2016)

• Record Type: Journal Article
• Authors: Chagoya, Javier; Sabido, Miguel
• Is Part Of: Classical and quantum gravity. Volume 33:Number 12(2016:Jun.)
• Publication Date: 2016-05-19
• Subjects: quantum cosmology -- anisotropic cosmological models -- problem of time; 0460Kz -- 0450Kd -- 0460Ds -- 9880-k; Quantum gravity -- Periodicals; Gravitation -- Periodicals; Relativity (Physics) -- Periodicals; Space and time -- Periodicals; Periodicals; 521.1
• DOI: 10.1088/0264-9381/33/12/125023
• Languages: English
• ISSNs: 0264-9381

Abstract

Abstract: 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 Hořava. 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 Schrödinger-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.