Alternative dynamics in loop quantum Brans-Dicke cosmology

Abstract

To inherit more features of full loop quantum Brans-Dicke theory, the Euclidean and Lorentzian terms of the Hamiltonian constraint are quantized independently in loop quantum Brans-Dicke cosmology. An alternative Hamiltonian constraint operator and its effective expression are obtained in the cosmological model. A residual quantum correction term is found in the effective Hamiltonian constraint, which has no analog in the effective Hamiltonian of the loop quantum cosmology from general relativity. The dynamics driven by this effective Hamiltonian constraint is analyzed in detail. For the physically interesting case of $\omega \gg 1$, this effective Hamiltonian drives a bouncing evolution which evolves from a de Sitter universe to a classical Brans-Dicke solution.

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Cited by in corpus (7)

• Loop Quantum Cosmology: Physics of Singularity Resolution and its Implications
• Loop quantum cosmology from an alternative Hamiltonian. II. Including the Lorentzian term
• Anisotropic cosmology using observational datasets: exploring via machine learning approaches
• Conformally Invariant Brans-Dicke Loop Quantum Cosmology: A Quantum Geometric Model of Linking Theory
• Quantum geometric formulation of Brans-Dicke theory for Bianchi I spacetime
• Nonclassical cosmological dynamics in the low-energy limit of loop quantum scalar-tensor theory
• Quantisation ambiguities and the effective dynamics of scalar-tensor theories in loop quantum cosmology