Large distance modification of Newtonian potential and structure formation in universe

Hameeda, Mir; Upadhyay, Sudhaker; Faizal, Mir; Ali, Ahmed Farag; Pourhassan, B.

doi:10.1016/j.dark.2018.02.001

Cited by 29 publications

(19 citation statements)

References 78 publications

(101 reference statements)

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“…As the cosmic energy equation is derived by approximating galaxies as points in a statistical mechanical system, a softening parameter can modify the cosmic energy equation [87]. It has been demonstrated that a large scale modification of the gravitational potential also modifies the cosmic energy equation [88].…”

Section: Discussionmentioning

confidence: 99%

Logarithmic corrections to Newtonian gravity and large scale structure

et al. 2021

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Effects from nonstandard corrections to Newtonian gravity, at large scale, can be investigated using the cosmological structure formation. In particular, it is possible to show if and how a logarithmic correction (as that induced from nonlocal gravity) modifies the clustering properties of galaxies and of clusters of galaxies. The thermodynamics of such systems can be used to obtain important information about the effects of such modification on clustering. We will compare its effects with observational data and it will be demonstrated that the observations seem to point to a characteristic scale where such a logarithmic correction might be in play at galactic scales. However, at larger scales such statistical inferences are much weaker, so that a fully reliable statistical evidence for this kind of corrections cannot be stated without further investigations and the use of more varied and precise cosmological and astrophysical probes.

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Section: Discussionmentioning

confidence: 99%

Logarithmic corrections to Newtonian gravity and large scale structure

et al. 2021

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“…This in fact has, provided opportunities to draw a formal analogy between the corrections due to the modified Newtonian potential and the dark energy models. The clustering of galaxies has been studied by considering Newtonian modified potential of a brane world model by using standard techniques of statistical mechanics and the thermodynamics of gravitational clustering of galaxies have been discussed [25]. The modification to the Newtonian potential are due to the super-light modes in the brane world models.…”

Section: Introductionmentioning

confidence: 99%

Two approaches that prove divergence free nature of non-local gravity

et al. 2021

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This paper is an attempt to study the thermodynamics of the structure formation in the large scale universe in the non local gravity using Boltzmann statistics and the Tsallis statistics. The partition function is obtained in both the approaches and the corresponding thermodynamics properties are evaluated. The important thing about the paper is that we surprisingly get the divergence free integrals and thus stress upon the fact that the nonlocal gravity is the singularity free model of gravity.

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“…An empirical modification of Newtonian dynamics(MOND), has been proposed and discussed at low accelerations [6,7,8]. Gravitational clustering with modified potentials have been studied in various modifications of Newtonian potential to explain clustering [9]; [10]; [11]; [12]; [13]; [14]; The modified theories like the non-local extensions of GR can be a possible treatment for the singularities like black hole, big bang and the cosmic expansion [15,16,17,18,19]. In most of the studies the standard techniques of statistical mechanics have been followed [20]; [21].…”

Section: Introductionmentioning

confidence: 99%

“…In most of the studies the standard techniques of statistical mechanics have been followed [20]; [21]. In our early studies we have analyzed the clustering of galaxies using a Newtonian potential modified by superlight modes of a brane world model and obtained considerable effects on the clustering parameter and have elaborated the effects on cosmic energy equations [9]. The large distance corrections to the Newtonian potential from super-light modes in brane world models have been studied by considering the universe a brane in higher dimensions [22].…”

Section: Introductionmentioning

confidence: 99%

Gravitational partition function modified by superlight braneworld perturbative modes

et al. 2021

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In this paper, we will analyze the effects of super-light brane world perturbative modes on clustering of galaxies. In present manuscript, we use the Boltzmann and Tsallis statistical approaches to study the large distance modification of gravity in the brane world. The impact of modified potential on clustering of galaxies is analyzed in both the approaches. The infinities associated with Newtonian point mass approximation of gravity models is removed using the analytical extensions. The regularized and finite partition function is obtained for the system of galaxies in the brane world model and is used to evaluate the regularized thermodynamic properties of the system in the form of equations of state. Hence, we study thermodynamic quantities and discuss about the thermodynamic stability of the model. We find that large number of galaxies may lead to the thermodynamic instability. The appealing feature of the paper revolve around the generalization of the dimensional regularization (GDR) of Bollini and Giambiagi supplemented with the statistical adequacy of Boltzmann and Tsallis.

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Large distance modification of Newtonian potential and structure formation in universe

Cited by 29 publications

References 78 publications

Logarithmic corrections to Newtonian gravity and large scale structure

Logarithmic corrections to Newtonian gravity and large scale structure

Two approaches that prove divergence free nature of non-local gravity

Gravitational partition function modified by superlight braneworld perturbative modes

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