Loop quantum cosmological dynamics of scalartensor theory in the Jordan frame
Abstract
The effective dynamics of scalartensor theory (STT) in the Jordan frame is studied in the context of loop quantum cosmology with holonomy corrections. After deriving the effective Hamiltonian from the connection dynamics formulation, we obtain the holonomycorrected evolution equations of STT on spatially flat FriedmannRobtersonWalker background, which exhibit some interesting features unique to the Jordan frame of STT. In particular, the linear term of the cosine function appearing in the equations could lead to dynamics much different from the classical theory in the lowenergy limit. In the latter part of this paper, we choose a particular model in STT—the BransDicke theory to specifically illustrate these features. It is found that in BransDicke theory the effective evolution equations can be classified into four different cases. Exact solutions of the Friedmann equation in terms of the internal time are obtained in these cases. Moreover, the solutions in terms of the proper time describing the late time evolution of the Universe are also obtained under certain approximation; in two cases the solutions coincide with the existing solutions in classical BransDicke theory while in the other two cases the solutions do not.
 Publication:

Physical Review D
 Pub Date:
 December 2019
 DOI:
 10.1103/PhysRevD.100.123541
 arXiv:
 arXiv:1911.01128
 Bibcode:
 2019PhRvD.100l3541H
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 22 pages