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FRW cosmology of the generalized model of LQG

Authors
  • Chattopadhyay, S.
  • Ashurov, A.
  • Khurshudyan, M.
  • Myrzakulov, K.
  • Pasqua, A.
  • Myrzakulov, R.
Type
Preprint
Publication Date
Mar 12, 2014
Submission Date
Mar 12, 2014
Identifiers
arXiv ID: 1403.2815
Source
arXiv
License
Yellow
External links

Abstract

In this paper, we study the main cosmological properties of the classical Friedmann equations in the case of homogeneous and isotropic Friedmann-Robertson-Walker Universe and we also generalized the expression of the Friedmann equation in the case of Loop Quantum Cosmology (LQC). Considering the $M_{35}$-model, we found the solutions of the equations considered for two particular cases, i.e. $Q=0$ (i.e., the de Sitter solution) and $Q>0$. Moreover, we considered and studied two exact cosmological solutions of the $M_{35}$-model, in particular the power-law and the exponential ones. Futhermore, we also considered a third more complicated case and we derived the solution for an arbitrary function of the time $f\left(t\right)$. A scalar field description of the model is presented by constructing its self-interacting potential.

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