Emergence of space and the general dynamic equation of Friedmann-Robertson-Walker universe

Abstract

A novel idea that the cosmic acceleration can be understood from the perspective that spacetime dynamics is an emergent phenomena was proposed by T. Padmanabhan. The Friedmann equations of FRW universe can be derived from different gravity theories with different modifications of Padmanabhan's proposal. In this paper, a unified formula is proposed, in which those modifications can be treated as special cases when the formula is applied to different universe radii. Furthermore, the dynamic equations of FRW universe in the $f(R)$ theory and deformed Ho{ř}ava-Lifshitz theory are investigated. The results show the validity of our proposed formula.

Accepted for publication in PRD typos corrected

References in corpus (10)

• Quantum Gravity at a Lifshitz Point
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• Membranes at Quantum Criticality
• Friedmann Equations from Entropic Force
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Cited by in corpus (9)

• Modified Friedmann Equations from Tsallis Entropy
• Cosmological Constant from the Emergent Gravity Perspective
• Emergence of Cosmic Space and Minimal Length in Quantum Gravity
• Observational constraints on Tsallis modified gravity
• Generalized Holographic Equipartition for Friedmann-Robertson-Walker Universes
• A cosmological model from emergence of space
• The laws of thermodynamics and information for emergent cosmology
• The quantum effect on Friedmann equation in FRW universe
• Phenomenological modification of horizon temperature