Note on the emergence of cosmic space in modified gravities

Abstract

Intrigued by the holographic principle, Padmanabhan recently proposed a novel idea, saying that our cosmic space is emergent as cosmic time progresses. In particular, the expansion rate of the Universe is related to the difference between the surface degrees of freedom on the holographic horizon and the bulk degrees of freedom inside. In this note, we generalize this interesting paradigm to brane world, scalar-tensor gravity, and f(R) theory, respectively, and find that in the cosmological setting the Friedmann equations can be successfully derived.

10pages, no figures, typos corrected, refs added, some refs updated, a footnote added, discussion improved, published in PRD

References in corpus (14)

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Cited by in corpus (17)

• Implications, consequences and interpretations of generalized entropy in the cosmological setups
• Cosmological Constant from the Emergent Gravity Perspective
• Emergence of Cosmic Space and Minimal Length in Quantum Gravity
• Emergence and Expansion of Cosmic Space in BIonic system
• Emergence and oscillation of cosmic space by joining M1-branes
• Observational constraints on Tsallis modified gravity
• Generalized entropies and the expansion law of the universe
• Emergence and expansion of cosmic space as due to M0-branes
• Bouncing universe with modified dispersion relation
• The birth of the universe in a new G-Theory approach
• The quantum effect on Friedmann equation in FRW universe
• The laws of thermodynamics and information for emergent cosmology
• Cosmological expansion and contraction from Pauli exclusion principle in $M0$-branes
• Emergence and expansion of cosmic space in an accelerating BIon
• Holographic Cosmology from a System of M2-M5 Branes
• Holographic Cosmology from BIonic Solutions
• Hawking temperature and the emergent cosmic space