Emergent Gravity and the Dark Universe

Verlinde, Erik

doi:10.21468/scipostphys.2.3.016

Cited by 456 publications

(620 citation statements)

References 102 publications

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“…As a future direction, we may consider the thermodynamic volume in an inflation model or de Sitter space. In these cases, the thermodynamic volume is related to the slow roll parameter of inflation models and it is interesting to see if the thermodynamic volume plays a role of an effective volume describing dark matter [16] .…”

Section: Physical Interpretation and Discussionmentioning

confidence: 99%

Thermodynamic Volume in AdS/CFT

Kim

Ahn

2018

EPJ Web Conf.

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Abstract. In this note, we study on extended thermodynamics of AdS black holes by varying cosmological constant. We found and discussed pressure and volume of both bulk and boundary physics through AdS/CFT correspondence. In particular, we derive the relation between thermodynamic volume and a chemical potential for M2 brane dual to four dimensional AdS space. In addition, we show that thermodynamic volume of hyperbolic black hole is related to 'entanglement pressure' coming from a generalized first law of entanglement entropy.

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Section: Physical Interpretation and Discussionmentioning

confidence: 99%

Thermodynamic Volume in AdS/CFT

Kim

Ahn

2018

EPJ Web Conf.

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“…Inspired by the emergent gravity models proposed by Verlinde in [1,2], we propose the induced gravity from higher dimensional spacetime which gives rise to the similar mechanism. We will modify the Einstein field equation in 3+1 dimensional spacetime at the cosmological scale,…”

Section: A Toy Model For the Late Universementioning

confidence: 98%

“…Although E. Verlinde suggested similar modifications of Newtonian dynamics as in MOND theories [2], which emerges with different underlining physical origin, there is no covariant equations of motion for the gravitational waves. While for our toy model in the previous sections, we have shown that the Einstein equations are not necessarily modified in our scenarios.…”

Section: Of Icgac-xiii and Ik-15 On Gravitation Astrophysics And Cosmentioning

confidence: 99%

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New Views on Dark Matter from Emergent Gravity

Sun

Zhang

2018

EPJ Web Conf.

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Abstract. We discuss a scenario that apparent dark matter comes from the induced gravity in the (3+1)-dimensional spacetime, which can be embedded into one higher dimensional flat spacetime. The stress tensor of dark energy and dark matter is identified with the Brown-York stress tensor on the hypersurface, and we find an interesting constraint relation between the dark matter and dark energy density parameter and baryonic density parameter. Our approach may show a new understanding for Verlinde's emergent gravity from higher dimensions. We also comment on some phenomenological implications, including gravitational wave solutions and MOND limit. A Toy Model for the late UniverseInspired by the emergent gravity models proposed by Verlinde in [1,2], we propose the induced gravity from higher dimensional spacetime which gives rise to the similar mechanism. We will modify the Einstein field equation in 3+1 dimensional spacetime at the cosmological scale,where H 0 is the Hubble constant. G is the newton gravitational constant. c is the speed of light. T µν is the stress tensor for normal matters. Alternatively, we can also put the extra terms on the right hand side, which adds the extra contribution to the stress tensorIt is just the Brown-York stress tensor induced from higher dimensional space time, and we explain it as the apparent dark sectors. We are going to show that stress tensor T µν , which is holographic in nature [4] can provide dark energy and dark matter effects. We consider the ΛCDM Universe, in which the universe contains a positive cosmological constant Λ contribution to the dark energy with component Ω Λ , cold dark matter density parameter Ω D , and Baryon density parameter Ω B . They satisfy Ω D + Ω B + Ω Λ ≃ 1. Based on eq.(1) and constraints from the consistent embedding, we obtain an interesting constraint relation of the uniform dark matter density, We take some parameters from the current ΛCDM universe from observation [3], with a bit priori choice as followingComparing our formula (3) with Verlinde's (4), we obtainWe will show that although our relation hold as well as Verlinde's, there are still some differences in approximation.Constraints From Consistent Embedding-Similar to the formula in (1), let us write down the Einstein equation in d dimensional spacetime aswith µ, ν = 0, 1, ..., (d − 1), andT µν is the stress tensor of normal matters, and T µν is the effective dark sectors of our universe, which can include both of the dark energy and dark matters. The trace of above equation gives the Ricci scalarNow we assume that the geometry with metric g µν can be embedded into one higher dimensional spacetime, as a EPJ Web of Conferences 168, 06006 (2018)

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“…Recent work on entropic gravity by Erik Verlinde [1,2] has initiated a recovery of earlier work by the author on the thermodynamics of diffuse interfaces [3] and stimulated a generalization of this approach. The approach depicted in the present article draws on a combination of the very forceful and fundamental concepts of entropy, of the phase-field method and of the Lagrange formalism.…”

Section: Introductionmentioning

confidence: 99%

A Combined Entropy/Phase-Field Approach to Gravity

Schmitz¹

2017

Entropy

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Terms related to gradients of scalar fields are introduced as scalar products into the formulation of entropy. A Lagrange density is then formulated by adding constraints based on known conservation laws. Applying the Lagrange formalism to the resulting Lagrange density leads to the Poisson equation of gravitation and also includes terms which are related to the curvature of space. The formalism further leads to terms possibly explaining nonlinear extensions known from modified Newtonian dynamics approaches. The article concludes with a short discussion of the presented methodology and provides an outlook on other phenomena which might be dealt with using this new approach.

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Emergent Gravity and the Dark Universe

Cited by 456 publications

References 102 publications

Thermodynamic Volume in AdS/CFT

Thermodynamic Volume in AdS/CFT

New Views on Dark Matter from Emergent Gravity

A Combined Entropy/Phase-Field Approach to Gravity

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