1. Singularity problem in the f(R) model with nonminimal coupling.
- Author
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Qiang Xu and Tan, Sheng-yu
- Subjects
- *
SCALAR field theory , *STABILITY theory , *DARK energy , *OSCILLATIONS , *PROBLEM solving , *MATHEMATICAL singularities - Abstract
We consider the nonminimal coupling between matter and the geometry in the f(R) theory. In the new theory which we established, a new scalar ι has been defined and we give it a certain stability condition. We intend to take a closer look at the dark energy oscillating behavior in the de Sitter universe and the matter era, from which we derive the oscillating frequency and the oscillating condition. More importantly, we present the condition of coupling form that the singularity can be solved. We discuss several specific coupling forms and find that logarithmic coupling with an oscillating period ΔT ~Δz in the matter era z > 4 can improve singularity in the early universe. The result of numerical calculation verifies our theoretic calculation about the oscillating frequency. Considering two toy models, we find the cosmic evolution in the coupling model is nearly the same as that in the normal f(R) theory when Ina > 4. We also discuss the local tests of the nonminimal coupling f(R) model and show the constraint on the coupling form [ABSTRACT FROM AUTHOR]
- Published
- 2012
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