Emergence of spaces and the dynamic equations of FRW universes in the $f(R)$ theory and deformed Hořava-Lifshitz theory

Abstract

It has been shown that Friedmann equation of FRW universe can be derived from the idea which says cosmic space is emergent as cosmic time progresses and our universe is expanding towards the state with the holographic equipartition by Padmanabhan. In this note, we give a general relationship between the horizon entropy and the number of the degrees of freedom on the surface, we also obtain the corresponding dynamic equations by using the idea of emergence of space in the $f(R)$ theory and deformed Hořava-Lifshitz (HL) theory.

11 pages, published version

References in corpus (5)

• Friedmann Equations of FRW Universe in Scalar-tensor Gravity, f(R) Gravity and First Law of Thermodynamics
• Thermodynamics and classification of cosmological models in the Horava-Lifshitz theory of gravity
• Emergent perspective of Gravity and Dark Energy
• Emergence of Space and Spacetime Dynamics of Friedmann-Robertson-Walker Universe
• Structural Aspects Of Gravitational Dynamics And The Emergent Perspective Of Gravity

Cited by in corpus (13)

• Emergence of Cosmic Space and Minimal Length in Quantum Gravity
• Friedmann equations in braneworld scenarios from emergence of cosmic space
• Thermodynamic constraints on a varying cosmological-constant-like term from the holographic equipartition law with a power-law corrected entropy
• Generalized thermodynamic constraints on holographic-principle-based cosmological scenarios
• Observational constraints on Tsallis modified gravity
• Note on the emergence of cosmic space in modified gravities
• Accelerated Expansion of the Universe based on Emergence of Space and Thermodynamics of the Horizon
• Emergence of space and the general dynamic equation of Friedmann-Robertson-Walker universe
• Emergence of fractal cosmic space from fractional quantum gravity
• Emergence of space and cosmic evolution based on entropic force
• A cosmological model from emergence of space
• Cosmological scenario based on the particle creation and holographic equipartition
• Phenomenological modification of horizon temperature