Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2005-02-21
Class.Quant.Grav. 22 (2005) 4203-4216
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
Revised version; includes expanded discussion of natural trans-Planckian modifications to frequency dispersion and robustness
Scientific paper
10.1088/0264-9381/22/20/003
Modification to the behavior of geometrical density at short scales is a key result of loop quantum cosmology, responsible for an interesting phenomenology in the very early universe. We demonstrate the way matter with arbitrary scale factor dependence in Hamiltonian incorporates this change in its effective dynamics in the loop modified phase. For generic matter, the equation of state starts varying near a critical scale factor, becomes negative below it and violates strong energy condition. This opens a new avenue to generalize various phenomenological applications in loop quantum cosmology. We show that different ways to define energy density may yield radically different results, especially for the case corresponding to classical dust. We also discuss implications for frequency dispersion induced by modification to geometric density at small scales.
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