Emergence of spacetime dynamics in entropy corrected and braneworld models

Abstract

A very interesting new proposal on the origin of the cosmic expansion was recently suggested by Padmanabhan [arXiv:1206.4916]. He argued that the difference between the surface degrees of freedom and the bulk degrees of freedom in a region of space drives the accelerated expansion of the universe, as well as the standard Friedmann equation through relation . In this paper, we first present the general expression for the number of degrees of freedom on the holographic surface, $N_{\mathrm{sur}}$, using the general entropy corrected formula $S=\frac{A}{4L_p^2}+s(A)$. Then, as two example, by applying the Padmanabhan's idea we extract the corresponding Friedmann equations in the presence of power-law and logarithmic correction terms in the entropy. We also extend the study to RS II and DGP branworld models and derive successfully the correct form of the Friedmann equations in these theories. Our study further supports the viability of Padmanabhan's proposal.

17 pages, Latex. arXiv admin note: text overlap with arXiv:1304.3054

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• Emergence of Cosmic Space and Minimal Length in Quantum Gravity
• Friedmann equations in braneworld scenarios from emergence of cosmic space
• Observational constraints on Tsallis modified gravity
• Entropy Maximization in the Emergent Gravity Paradigm
• Emergence of cosmic space and its connection with thermodynamic principles
• Bouncing universe of entropy-corrected Friedmann equations
• Deformed Horava-Lifshitz Cosmology and Stability of Einstein Static Universe
• The quantum effect on Friedmann equation in FRW universe
• Apparent Dark Matter Inspired by Einstein Equation of State
• Thermodynamical properties of nonsingular universe