Emergence of Space and Spacetime Dynamics of Friedmann-Robertson-Walker Universe

Abstract

In a recent paper [arXiv:1206.4916] by T. Padmanabhan, it was argued that our universe provides an ideal setup to stress the issue that cosmic space is emergent as cosmic time progresses and that the expansion of the universe is due to the difference between the number of degrees of freedom on a holographic surface and the one in the emerged bulk. In this note following this proposal we obtain the Friedmann equation of a higher dimensional Friedmann-Robertson-Walker universe. By properly modifying the volume increase and the number of degrees of freedom on the holographic surface from the entropy formulas of black hole in the Gauss-Bonnet gravity and more general Lovelock gravity, we also get corresponding dynamical equations of the universe in those gravity theories.

Latex 9 pages without figure

References in corpus (2)

• Hawking Radiation of Apparent Horizon in a FRW Universe
• A Note on Thermodynamics of Black Holes in Lovelock Gravity

Cited by in corpus (22)

• Barrow Entropy Corrections to Friedmann Equations
• Friedmann equations from emergence of cosmic space
• Emergent cosmic space in Rastall theory
• Thermodynamic constraints on a varying cosmological-constant-like term from the holographic equipartition law with a power-law corrected entropy
• Generalized entropies and the expansion law of the universe
• Emergence of fractal cosmic space from fractional quantum gravity
• Emergence of cosmic space and its connection with thermodynamic principles
• Horizon thermodynamics in holographic cosmological models with a power-law term
• Evolution of thermodynamic quantities on cosmological horizon in $\Lambda (t)$ model
• First Law of Thermodynamics and Emergence of Cosmic Space in a Non-Flat Universe
• Energy stored on a cosmological horizon and its thermodynamic fluctuations in holographic equipartition law
• Entropy production due to adiabatic particle creation in a holographic dissipative cosmology
• Evolution of dissipative and non-dissipative universes in holographic cosmological models with a power-law term
• Apparent Dark Matter Inspired by Einstein Equation of State
• Big-Bang nucleosynthesis constraints on (dual) Kaniadakis cosmology
• Cosmological model based on both holographic-like connection and Padmanabhan's holographic equipartition law
• MOND Theory and Thermodynamics of Spacetime
• Holographic thermodynamic relation for dissipative and non-dissipative universes in a flat FLRW cosmology
• Holographic vacuum energy regularization and corrected entropy of de Sitter space
• Thermodynamical properties of nonsingular universe
• Phenomenological modification of horizon temperature
• Cosmological scenario based on the first and second laws of thermodynamics: Thermodynamic constraints on a generalized cosmological model