A Note on Friedmann Equation of FRW Universe in Deformed Hořava—Lifshitz Gravity from Entropic Force

Wei, Shao-Wen; Liu, Yu-Xiao; Wang, Yongqiang

doi:10.1088/0253-6102/56/3/11

Cited by 52 publications

(31 citation statements)

References 69 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The entropic interpretation of gravity has been used to extract Friedmann equations at the apparent horizon of the Friedmann-Robertson-Walker universe [34,35], modified Friedmann equations [36,37], modified Newton's law [38], the Newtonian gravity in loop quantum gravity [39], the holographic dark energy [40][41][42], thermodynamics of black holes [43] and the extension to Coulomb force [44]. Other studies on the entropic force have been carried out in [45][46][47][48][49][50][51][52][53][54].…”

mentioning

confidence: 99%

Entropic Corrections to Coulomb’s Law

Hendi¹,

Sheykhi²

2011

Int J Theor Phys

View full text Add to dashboard Cite

Two well-known quantum corrections to the area law have been introduced in the literatures, namely, logarithmic and power-law corrections. Logarithmic corrections, arises from loop quantum gravity due to thermal equilibrium fluctuations and quantum fluctuations, while, power-law correction appears in dealing with the entanglement of quantum fields in and out the horizon. Inspired by Verlinde's argument on the entropic force, and assuming the quantum corrected relation for the entropy, we propose the entropic origin for the Coulomb's law in this note. Also we investigate the Uehling potential as a radiative correction to Coulomb potential in 1-loop order and show that for some value of distance the entropic corrections of the Coulomb's law is compatible with the vacuum-polarization correction in QED. So, we derive modified Coulomb's law as well as the entropy corrected Poisson's equation which governing the evolution of the scalar potential φ. Our study further supports the unification of gravity and electromagnetic interactions based on the holographic principle.

show abstract

mentioning

confidence: 99%

Entropic Corrections to Coulomb’s Law

Hendi¹,

Sheykhi²

2011

Int J Theor Phys

View full text Add to dashboard Cite

show abstract

“…In [7], it is shown that the holographic dark energy will be derivable from the entropic force interpretation of gravity. The modified Friedmann equations by this notion of gravity are obtained in different setups such as Einstein gravity [8], braneworld scenarios [9], Gauss-Bonnet gravity [10], and Hořava-Lifshitz gravity [11]. There are also other applications of Verlinde's hypothesis, some of which are mentioned in [12].…”

Section: Introductionmentioning

confidence: 99%

Deformed Hořava–Lifshitz cosmology and stability of the Einstein static universe

2017

View full text Add to dashboard Cite

Stability of the Einstein static universe versus the linear scalar, vector and tensor perturbations is investigated in the context of deformed Hořava-Lifshitz cosmology inspired by entropic force scenario. A general stability condition against the linear scalar perturbations is obtained. Using this general condition, it is shown that there is no stable Einstein static universe for the case of flat universe, k = 0. For the the special case of large values of running parameter of HL gravity ω, in a positively curved universe k > 0, the domination of the quintessence and phantom matter fields with barotropic equation of state parameter β < − is necessary while for a negatively curved universe k < 0, the matter fields with β > − 1 3 are needed to be the dominant fields of the universe. Also, a neutral stability against the vector perturbations is obtained. Finally, an inequality including the cosmological parameters of the Einstein static universe is obtained for the stability against the tensor perturbations. It turns out that for large ω values, there is a stability against the tensor perturbations.

show abstract

“…28 This hypothesis is generalized to various theories of gravity and cosmological setups. [29][30][31][32][33][34][35][36][37][38][39][40][41][42][43] Therefore, the tendency of the cosmos, as a closed system, to increase its entropy is compatible with the current accelerated phase of the expansion. Finally, we should note that the thermodynamic analysis of the universe helps us to get a better understanding from the gravity, the universe, its origin and evolution, and thus the nature of the mysterious dominated fluid supporting the current accelerated expansion.…”

Section: Introductionmentioning

confidence: 99%

Thermodynamical description of the ghost dark energy model

Honarvaryan

Sheykhi

Moradpour

2015

Int. J. Mod. Phys. D

View full text Add to dashboard Cite

In this paper, we point out thermodynamical description of ghost dark energy and its generalization to the early universe. Thereinafter, we find expressions for the entropy changes of these dark energy candidates. In addition, considering thermal fluctuations, thermodynamics of the dark energy component interacting with a dark matter sector is addressed. {We will also find the effects of considering the coincidence problem on the mutual interaction between the dark sectors, and thus the equation of state parameter of dark energy.} Finally, we derive a relation between the mutual interaction of the dark components of the universe, accelerated with the either ghost dark energy or its generalization, and the thermodynamic fluctuations.Comment: 11 page

show abstract

A Note on Friedmann Equation of FRW Universe in Deformed Hořava—Lifshitz Gravity from Entropic Force

Cited by 52 publications

References 69 publications

Entropic Corrections to Coulomb’s Law

Entropic Corrections to Coulomb’s Law

Deformed Hořava–Lifshitz cosmology and stability of the Einstein static universe

Thermodynamical description of the ghost dark energy model

Contact Info

Product

Resources

About