2020/11/09 by Daniel Berkowitz, Berkowitz, Daniel
Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Relativity and Gravitational Theory
paper · pdf · doi:10.48550/arxiv.2011.05972
openalex publication_date 2020/11/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We apply in a novel fashion a modified semi-classical method to the Bianchi\nII and VIIh=0 models when a cosmological constant, aligned electromagnetic\nfield and stiff matter are present. Additionally we study the non-commutative\nquantum Bianchi II models when an aligned electromagnetic field is included.\nThrough the use of the Euclidean-signature semi classical method we find a\nplethora of new solutions to these model's corresponding Lorentzian signature\nWheeler DeWitt equations which we can interpret qualitatively. These new\nsolutions for the aforementioned models involving matter sources reveal some\npotentially interesting effects that should be chronicled as possible phenomena\nthat a toy model of quantum gravity can induce on the evolution of a quantum\nuniverse. Furthermore we find 'excited' states which behave differently from\nthe 'excited' states of the Bianchi IX and Taub models that were previously\nuncovered using this method. By comparing and contrasting the 'excited' states\ngiven by these models we help facilitate a better understating of what\nconstitutes an 'excited' state solution of the Wheeler Dewitt equation. Our\nresults further show the utility of the Euclidean-signature semi classical\nmethod for tackling Lorentzian signature problems without having to invoke a\nWick rotation. This feature of not needing to apply a Wick rotation makes this\nmethod potentially very useful for tackling a variety of problems in bosonic\nrelativistic field theory and quantum gravity.\n