2014
DOI: 10.1007/s11433-014-5545-7
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Modified entropic gravity revisited

Abstract: Inspired by Verlinde's idea, some modified versions of entropic gravity have appeared in the literature. Extending them in a unified formalism, we derive the generalized gravitational equations accordingly. From gravitational equations, the energy-momentum conservation law and cosmological equations are investigated. The covariant conservation law of energy-momentum tensor severely constrains viable modifications of entropic gravity. A discrepancy arises when two independent methods are applied to the homogene… Show more

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Cited by 9 publications
(13 citation statements)
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References 75 publications
(92 reference statements)
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“…Our results and the papers [14][15][16][17][18][19][20][21] show that the entropic gravity proposal provides a powerful framework to obtain the generalized theory of gravity by using thermodynamical quantities.…”
Section: Discussionsupporting
confidence: 59%
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“…Our results and the papers [14][15][16][17][18][19][20][21] show that the entropic gravity proposal provides a powerful framework to obtain the generalized theory of gravity by using thermodynamical quantities.…”
Section: Discussionsupporting
confidence: 59%
“…In other words, it can be seen as a restriction for this kind of modified entropic gravity because only few values for a b = −∇ b φ are permitted by this requirement. According to Wang's paper [18], this result reminds the Chern-Simons (CS) modification of general relativity [49] in which conservation of the energy-momentum is unwarranted by gravitational equations. So, one can consider the last equation as a criterion of admissible metrics in modified models of entropic gravity.…”
Section: Generalized Einstein Field Equationsmentioning
confidence: 88%
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“…Unfortunately, in our reading of [14] and previous works, we had to make several leaps of fates [309]. As expected, considering the approach, some observations [181] and models [180,179] seem to invalidate some of the assumptions and predictions. For example, [179] questions the suitability of this approach and the value to attach to its derivation of gravity.…”
Section: Entropic Emergence Of Gravitymentioning
confidence: 89%
“…Because if one uses the generalized forms of entropy, temperature or active gravitational mass functions instead of the standard ones, these idea may lead to generalize the gravitational field equations. From these ideas, many authors have extensively studied the extended gravity theories based on the entropic gravity proposal such as [18][19][20][21][22][23][24][25][26][27][28].…”
Section: Introductionmentioning
confidence: 99%