Thermodynamics in Loop Quantum Cosmology

Abstract

Loop quantum cosmology (LQC) is very powerful to deal with the behavior of early universe. And the effective loop quantum cosmology gives a successful description of the universe in the semiclassical region. We consider the apparent horizon of the Friedmann-Robertson-Walker universe as a thermodynamical system and investigate the thermodynamics of LQC in the semiclassical region. The effective density and effective pressure in the modified Friedmann equation from LQC not only determine the evolution of the universe in LQC scenario but are actually also found to be the thermodynamic quantities. This result comes from the energy definition in cosmology (the Misner-Sharp gravitational energy) and is consistent with thermodynamic laws. We prove that within the framework of loop quantum cosmology, the elementary equation of equilibrium thermodynamics is still valid.

4 pages

References in corpus (11)

• Quantum Nature of the Big Bang: Improved dynamics
• Quantum Nature of the Big Bang: An Analytical and Numerical Investigation
• Thermodynamic Behavior of Friedmann Equation at Apparent Horizon of FRW Universe
• Unified First Law and Thermodynamics of Apparent Horizon in FRW Universe
• The Bianchi IX model in Loop Quantum Cosmology
• Quantum suppression of the generic chaotic behavior close to cosmological singularities
• Counting black hole microscopic states in loop quantum gravity
• Exact solutions for Big Bounce in loop quantum cosmology
• How quantum is the big bang?
• Tachyon field in Loop Quantum Cosmology: inflation and evolution picture
• Violation of Strong Energy Condition in Effective Loop Quantum Cosmology

Cited by in corpus (11)

• Thermodynamics in $f(R)$ gravity in the Palatini formalism
• Towards the Raychaudhuri Equation Beyond General Relativity
• An Overview on the Nature of the Bounce in LQC and PQM
• Interacting New Agegraphic Dark Energy in a Cyclic Universe
• Thermodynamics of Spinor Quintom
• Raychaudhuri equation with zero point length
• The Raychaudhuri equation for a quantized timelike geodesic congruence
• Statistical Thermodynamics of Polymer Quantum Systems
• The Unified First law in "Cosmic Triad" Vector Field Scenario
• Thermodynamics in new model of loop quantum cosmology
• Modifying horizon thermodynamics by surface tensions