Generalized Holographic Equipartition for Friedmann-Robertson-Walker Universes

Abstract

The novel idea that spatial expansion of our universe can be regarded as the consequence of the emergence of space was proposed by Padmanabhan. By using of the basic law governing the emergence, which Padmanabhan called holographic equipartition, he also arrives at the Friedmann equation in a flat universe. When generalized to other gravity theories, the holographic equipartition need to be generalized with an expression of $f(\Delta N,N_{sur})$. In this paper, we give general expressions of $f(\Delta N,N_{sur})$ for generalized holographic equipartition which can be used to derive the Friedmann equations of the Friedmann-Robertson-Walker universe with any spatial curvature in higher (n+1)-dimensional Einstein gravity, Gauss-Bonnet gravity and more general Lovelock gravity. The results support the viability of the perspective of holographic equipartition.

removed the section of de Sitter universe and so tile changed, to be published in Gen. Rel. Grav

References in corpus (6)

• Friedmann Equations from Entropic Force
• Lessons from Classical Gravity about the Quantum Structure of Spacetime
• Friedmann equations from emergence of cosmic space
• Emergence of Cosmic Space and the Generalized Holographic Equipartition
• Emergence of Space and Spacetime Dynamics of Friedmann-Robertson-Walker Universe
• Emergence of space and the general dynamic equation of Friedmann-Robertson-Walker universe

Cited by in corpus (7)

• Cosmological Constant from the Emergent Gravity Perspective
• Generalized thermodynamic constraints on holographic-principle-based cosmological scenarios
• Entropy Maximization in the Emergent Gravity Paradigm
• First Law of Thermodynamics and Emergence of Cosmic Space in a Non-Flat Universe
• A cosmological model from emergence of space
• The laws of thermodynamics and information for emergent cosmology
• Phenomenological modification of horizon temperature