Bianchi cosmologies with pform gauge fields
Abstract
In this paper the dynamics of free gauge fields in Bianchi type IVII_{ h } spacetimes is investigated. The general equations for a matter sector consisting of a pform field strength (p \in \{1, 3\} ), a cosmological constant (4form) and perfect fluid in Bianchi type IVII_{ h } spacetimes are computed using the orthonormal frame method. The number of independent components of a pform in all Bianchi types IIX are derived and, by means of the dynamical systems approach, the behaviour of such fields in Bianchi type I and V are studied. Both a local and a global analysis are performed and strong global results regarding the general behaviour are obtained. New selfsimilar cosmological solutions appear both in Bianchi type I and Bianchi type V, in particular, a oneparameter family of selfsimilar solutions, ‘Wonderland (λ)’ appears generally in type V and in type I for λ=0 . Depending on the value of the equation of state parameter other new stable solutions are also found (‘The Rope’ and ‘The Edge’) containing a purely spatial field strength that rotates relative to the comoving inertial tetrad. Using monotone functions, global results are given and the conditions under which exact solutions are (global) attractors are found.
 Publication:

Classical and Quantum Gravity
 Pub Date:
 May 2018
 DOI:
 10.1088/13616382/aab3a7
 arXiv:
 arXiv:1712.08752
 Bibcode:
 2018CQGra..35i5004N
 Keywords:

 General Relativity and Quantum Cosmology;
 Astrophysics  Cosmology and Nongalactic Astrophysics;
 High Energy Physics  Theory;
 Mathematical Physics
 EPrint:
 42 pages, 6 figures, 6 tables in text. V2: minor changes, matches the version published in CQG