Study of the large scale structure through modified gravity theory using statistical mechanics

Khanday, Abdul W.; Upadhyay, Sudhaker; Ganai, Prince A.

doi:10.1016/j.physa.2023.128493

Cited by 2 publications

(2 citation statements)

References 19 publications

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“…In the first category, we shall examine the gravity model of Maneff [34][35][36][37], generalizations à la Tohline [38] or Kuhn and Kruglyak [39] (see also [40] for a more modern perspective), the gravitational model of Finzi and Pirani [41], and fractional gravity [42]. Those are among the most studied modifications of Newtonian gravity in the recent astrophysics literature [43][44][45][46][47][48][49][50][51][52][53][54]. At the other extreme, we shall consider small-scale deviations from Newtonian gravity.…”

Section: Introductionmentioning

confidence: 99%

The other way around: from alternative gravity to entropy

Ourabah

2023

Class. Quantum Grav.

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Since the seminal work of Verlinde, the idea that gravity may be an emergent force of entropic origin has gained widespread attention. Many generalizations of this key idea have been considered in the literature, starting from well-known and well-motivated generalized entropies to derive generalized gravity theories. Here, we approach the problem from the opposite direction. We ask whether phenomenologically motivated generalized gravitational theories, yet lacking a strong theoretical justification, may find their origin in an entropic scenario. We examine a set of seven proposals of modified gravity, which have been introduced either (i) as large-scale corrections to Newtonian gravity, aimed at reproducing astrophysical observations in the far field, or (ii) as small-scale corrections, in order to regularize the singularity in the near field. For each proposal, we construct the underlying entropy, producing the desired dynamics in an entropic scenario. This reveals previously unnoticed connections between various proposals. The class of entropies introduced by Sheykhi and Hendi (2011 Phys. Rev. D 84 044023), exhibiting power-law corrections to the area law, appears to cover a number of useful phenomenological proposals, while the concept of fractional gravity is shown to arise from the recently introduced Barrow entropy. Other entropic forms, involving different type of corrections, also emerge from this procedure. We discuss their implications and their connections with entropies previously introduced in the literature. To broaden our analysis, we extend our discussion to the cosmological context, and examine the effect of these entropies on Friedmann equations.

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Section: Introductionmentioning

confidence: 99%

The other way around: from alternative gravity to entropy

Ourabah

2023

Class. Quantum Grav.

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“…Many theories have been proposed to explain it [2] [3]; nonetheless, the problem persists. It is believed that the quantum theory of gravity may have an answer to those questions [4] https://doi.org/10.4236/jhepgc.2023.93059 Journal of High Energy Physics, Gravitation and Cosmology ever, in this paper, we take this question from another perspective and investigate the origin of gravity by using the law of thermodynamics.…”

Section: Introductionmentioning

confidence: 99%

On the Origin of Gravity and the Emergence of a Black Hole

Chandra¹

2023

JHEPGC

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Study of the large scale structure through modified gravity theory using statistical mechanics

Cited by 2 publications

References 19 publications

The other way around: from alternative gravity to entropy

The other way around: from alternative gravity to entropy

On the Origin of Gravity and the Emergence of a Black Hole

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