SO(4,2) and derivatively coupled dRGT massive gravity

JOURNAL OF GEOMETRY AND PHYSICS

卷:135

Article

Rahmanpour, Nafiseh¹  Khosravi, Nima¹  Vakili, Babak² 

[1] Shahid Beheshti Univ, GC, Dept Phys, Tehran 19839, Iran

[2] Islamic Azad Univ, Cent Tehran Branch, Dept Phys, Tehran, Iran

关键词: Conformal group;    Massive gravity;   

DOI  :  10.1016/j.geomphys.2018.09.012

来源: Elsevier

【 摘 要 】

In this paper we study the possibility of assigning a geometric structure to the Lie groups. It is shown the Poincare and Weyl groups have geometrical structure of the RiemannCartan and Weyl space-time respectively. The geometric approach to these groups can be carried out by considering the most general (non)metricity conditions, or equivalently, tetrad postulates which we show that can be written in terms of the group's gauge fields. By focusing on the conformal group we apply this procedure to show that a nontrivial 3-metrics geometry may be extracted from the group's Maurer-Cartan structure equations. We systematically obtain the general characteristics of this geometry, i.e. its most general nonmetricity conditions, tetrad postulates and its connections. We then deal with the gravitational theory associated to the conformal group's geometry. By proposing an Einstein-Hilbert type action, we conclude that the resulting gravity theory has the form of quintessence where the scalar field derivatively coupled to massive gravity building blocks. (C) 2018 Elsevier B.V. All rights reserved.

【 授权许可】

Free