Holographic entropy bounds in the inflationary universe

Abstract

We introduce the relation between the holographic entropy bounds and the inflationary universe. First the holographic entropy bounds for radiation-dominated universe, radiation-dominated universe with a positive cosmological constant are introduced. For an exact de Sitter phase, we use the maximal entropy bound. We classify the inflation based on the quasi-de Sitter spacetime into three steps: slow-roll period of inflation, epoch of reheating, and radiation-dominated era. Then we study how to apply three entropy bounds to the three steps of the inflation. Finally we discuss our results.

16 pages, two eps figures

References in corpus (4)

• Inflation and de Sitter Thermodynamics
• Holography in a Radiation-dominated Universe with a Positive Cosmological Constant
• Holographic Limitations of the Effective Field Theory of Inflation
• The Elliptic Solutions to the Friedmann equation and the Verlinde's Maps

Cited by in corpus (3)

• Holography, inflation, and quantum fluctuations in the early universe
• Role of the cosmological constant in the holographic description of the early universe
• Holographic temperature bound in the slow-roll inflation