Violation of Strong Energy Condition in Effective Loop Quantum Cosmology

Abstract

In loop quantum cosmology nonperturbative modification to a scalar matter field at short scales implies inflation which also means a violation of the strong energy condition. In the framework of effective Hamiltonian we discuss the issue of violation of the strong energy condition in the presence of quantum geometry potential. It shows that the appearance of quantum geometry potential strengthens the violation of the strong energy condition in small volume regions. In the small volume regions superinflation can easily happen. Furthermore, when the evolution of the universe approaches the bounce scale, this trend of violating the strong energy condition can be greatly amplified.

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References in corpus (6)

• Quantum Nature of the Big Bang: An Analytical and Numerical Investigation
• Loop Quantum Cosmology
• Loop cosmological dynamics and dualities with Randall-Sundrum braneworlds
• A black hole mass threshold from non-singular quantum gravitational collapse
• Loop Quantum Gravity and the Cyclic Universe
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Cited by in corpus (5)

• Spatially Hyperbolic Gravitating Sources in $\Lambda$-Dominated Era
• Thermodynamics in Loop Quantum Cosmology
• Averaged null energy condition in Loop Quantum Cosmology
• Energy conditions in new model of loop quantum cosmology
• Using Energy Conditions to Distinguish Brane Models and Study Brane Matter