Entropic corrections to Einstein equations

Hendi, S. H.; Sheykhi, Ahmad

doi:10.1103/physrevd.83.084012

Cited by 60 publications

(60 citation statements)

References 69 publications

(70 reference statements)

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“…It is worth to mention here that the linear dependency of a 0 to the mass (energy) content of system, obtained in Eq. (26), is in full agreement with the results of applying quantum statistics to the surface degrees of freedom [14,26,27]. This result also says that δ should be evaluated by comparing the observation with Eq.…”

Section: A Rényi Entropysupporting

confidence: 86%

Implications of the generalized entropy formalisms on the Newtonian gravity and dynamics

et al. 2018

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Employing the Verlinde's hypothesis, and considering two well-known generalized entropy formalisms, two modifications to the Newtonian gravity are derived. In addition, it has been shown that the generalized entropy measures may also provide theoretical basis for the Modified Newtonian Dynamics (MOND) theory and generate its modified forms. Since these entropy measures are also successful in describing the current accelerated universe, our results indicate that the origin of dark sectors of cosmos may be unified to meeting the generalized entropy measures instead of the Boltzmann-Gibbs entropy by the gravitational systems due to the long-range nature of gravity.

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Section: A Rényi Entropysupporting

confidence: 86%

Implications of the generalized entropy formalisms on the Newtonian gravity and dynamics

et al. 2018

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“…In this section, we use the analysis of [43,49,50,69] which derived the Friedmann equations using an entropic force approach. We investigate the effect of the quantum gravity arising from the GUP proposed in Eq.…”

Section: Modified Friedmann and Raychaudhuri Equationsmentioning

confidence: 99%

“…In this paper, we take into account the quantum gravity corrections due to GUP in the entropic-force approach, following the same procedure as [39], and extend our study to calculate the modified Friedmann and Raychaudhuri equations. To calculate the quantum gravity corrections to the Friedmann equations, we use the procedure that has been followed in [49,50]. It is worth mentioning that recently, there have been some considerable interest in entropic force approach and its applications [51][52][53][54][55].…”

Section: Introductionmentioning

confidence: 99%

Planck-scale corrections to Friedmann equation

Awad¹,

Ali²

2014

Open Physics

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Abstract:Recently, Verlinde proposed that gravity is an emergent phenomenon which originates from an entropic force. In this work, we extend Verlinde's proposal to accommodate generalized uncertainty principles (GUP), which are suggested by some approaches to quantum gravity such as string theory, black hole physics and doubly special relativity (DSR). Using Verlinde's proposal and two known models of GUPs, we obtain modifications to Newton's law of gravitation as well as the Friedmann equation. Our modification to the Friedmann equation includes higher powers of the Hubble parameter which is used to obtain a corresponding Raychaudhuri equation. Solving this equation, we obtain a leading Planck-scale correction to Friedmann-Robertson-Walker (FRW) solutions for the = ωρ equation of state.

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“…This assumption looks reasonable by taking into account the holographic principle originated from the "It from bit" picture of Wheeler [22]. The study on the entropic force has raised a lot of enthusiasm recently (see [23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40] and references therein).…”

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confidence: 99%

Modified Friedmann Equations on the Brane from Entropic Force

Sheykhi

2011

Int J Theor Phys

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The well-known area relation of the black hole entropy can be modified from the inclusion of quantum effects, motivated from the loop quantum gravity. Applying this modified entropy-area relation to brane cosmology, we derive the modified cosmological equations governing the evolution of the universe on the brane. We adopt the viewpoint that interprets gravity as an entropic force caused by the changes in the information when a material body moves away from the holographic screen. Keywords Entropic force · Brane cosmology · GravityThe profound connection between black hole physics and thermodynamics, throws new light to the genius of gravity. This fact leads some physicists investigating gravity from the point of view of thermodynamics. Jacobson [1] was the first who derived Einstein's gravitational field equation from the first law of thermodynamics. This derivation suggests that Einstein equation for the spacetime metric has a predisposition to thermodynamic behavior. The study on the connection between thermodynamics and gravity has been generalized to the cosmological situations [2][3][4][5][6][7][8][9][10][11][12][13][14][15]. The further investigations of Padmanabhan [16] reinterpreted entropy as the equipartition rule of energy. It also provided a thermodynamic interpretation of gravity. These results support that the gravity has an entropic origin [17][18][19].A constructive new idea on the relation between gravity and thermodynamics was recently proposed by Verlinde [20] who claimed that gravity is not a fundamental interaction and can be interpreted as an entropic force arising from the change of information when a material body moves away from the holographic screen. Among various interesting observations made by Verlinde, here we mention two of them. First, with the assumption of the A. Sheykhi ( )

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Entropic corrections to Einstein equations

Cited by 60 publications

References 69 publications

Implications of the generalized entropy formalisms on the Newtonian gravity and dynamics

Implications of the generalized entropy formalisms on the Newtonian gravity and dynamics

Planck-scale corrections to Friedmann equation

Modified Friedmann Equations on the Brane from Entropic Force

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