2017
DOI: 10.1103/physrevd.95.124018
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Covariant version of Verlinde’s emergent gravity

Abstract: A generally covariant version of Erik Verlinde's emergent gravity model is proposed. The Lagrangian constructed here allows an improved interpretation of the underlying mechanism. It suggests that de-Sitter space is filled with a vector-field that couples to baryonic matter and, by dragging on it, creates an effect similar to dark matter. We solve the covariant equation of motion in the background of a Schwarzschild space-time and obtain correction terms to the non-covariant expression. Furthermore, we demonst… Show more

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Cited by 64 publications
(113 citation statements)
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References 30 publications
(56 reference statements)
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“…Although technical differences are small, the latter interpretation is believed to provide an improved conceptual understanding of emergent quantum gravity in terms of space-time's micro-constituents and the fundamental degrees of freedom at their availability. Further entropic gravity generalizations by Padmanabhan [9] and Verlinde [10] still hold true, while a covariant Lagrangian version has been provided by Hossenfelder [30]. Relating the micro-constituent-based interpretation of entropic gravity as presented here to promising studies in entropic cosmology [31][32][33][34][35] is subject of ongoing research.…”
Section: Entropic Gravitymentioning
confidence: 71%
See 1 more Smart Citation
“…Although technical differences are small, the latter interpretation is believed to provide an improved conceptual understanding of emergent quantum gravity in terms of space-time's micro-constituents and the fundamental degrees of freedom at their availability. Further entropic gravity generalizations by Padmanabhan [9] and Verlinde [10] still hold true, while a covariant Lagrangian version has been provided by Hossenfelder [30]. Relating the micro-constituent-based interpretation of entropic gravity as presented here to promising studies in entropic cosmology [31][32][33][34][35] is subject of ongoing research.…”
Section: Entropic Gravitymentioning
confidence: 71%
“…In line with the common interpretation of Einstein's field equations, one could indeed imagine that a composite body (i.e., a space-time constituent collection) experiencing no net force whatsoever must be located within an isotropic space-time constituent density distribution, while every "force" that disturbs the isotropy, as a "space-time curvature" effect on the surrounding micro-constituent density distribution, is compensated for by a macroscopic acceleration, as effectively induced by a sub-quantum micro-constituent dynamics according to Equation (30), to a geodesic trajectory. This view corresponds with the idea that according to general relativity gravity is not a force in the classical sense as objects do not couple to the gravitational field; objects just exist and, if not differently constrained, follow geodesic trajectories [36].…”
Section: Discussionmentioning
confidence: 99%
“…Hossenfelder's generally covariant vector-field version of Verlinde's emergent gravity concept [3] provides a model for "dark matter" phenomena, DM Φ , which I attribute through equivalence to "enlightened matter", M Ξ Φ . Through this equivalence, it is proposed that her vector-field, u, is the Epistemic Field [24] and that gradients in the field cause Epistemic Drive, as discussed in the author's research programme on Quantum Intelligent Cosmology.…”
Section: Discussionmentioning
confidence: 99%
“…Entropic gravity theories [1] [2] [3] offer possible explanations, without recourse to unseen "dark matter" particles. These theories invite probing of their foundations.…”
Section: Introductionmentioning
confidence: 99%
“…Since this extra field couples to baryons, it must couple at least indirectly to photons too. Most often, a direct coupling of this additional field to photons is not included [1,2,[14][15][16][17][18], or if it is included the magnitude of the coupling is not specified [3]. Such a non-geometric effect on the photon's path would modify the galactic gravitational lensing signature, and could directly provide a constraint on these models.…”
Section: Pacs Numbersmentioning
confidence: 99%