Nonlocal Newtonian cosmology

Chicone, Carmen; Mashhoon, Bahram

doi:10.1063/1.4958902

Cited by 25 publications

(8 citation statements)

References 38 publications

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“…Mashhoon ( 1990 , 2008 ) and Hehl and Mashhoon ( 2009a , b ). Recently, the authors applied the theory to Newtonian cosmology with the aim to model structure formation without the need for dark matter (Chicone and Mashhoon 2016 ). It will be interesting to see this theory tested using large scale structure and CMB data.…”

Section: Types Of Modifications To Gr At Cosmological Scales and Corrmentioning

confidence: 99%

Testing general relativity in cosmology

2018

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We review recent developments and results in testing general relativity (GR) at cosmological scales. The subject has witnessed rapid growth during the last two decades with the aim of addressing the question of cosmic acceleration and the dark energy associated with it. However, with the advent of precision cosmology, it has also become a well-motivated endeavor by itself to test gravitational physics at cosmic scales. We overview cosmological probes of gravity, formalisms and parameterizations for testing deviations from GR at cosmological scales, selected modified gravity (MG) theories, gravitational screening mechanisms, and computer codes developed for these tests. We then provide summaries of recent cosmological constraints on MG parameters and selected MG models. We supplement these cosmological constraints with a summary of implications from the recent binary neutron star merger event. Next, we summarize some results on MG parameter forecasts with and without astrophysical systematics that will dominate the uncertainties. The review aims at providing an overall picture of the subject and an entry point to students and researchers interested in joining the field. It can also serve as a quick reference to recent results and constraints on testing gravity at cosmological scales.

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Section: Types Of Modifications To Gr At Cosmological Scales and Corrmentioning

confidence: 99%

Testing general relativity in cosmology

2018

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“…We are interested here in dark matter only as it pertains to stellar systems such as galaxies and clusters of galaxies [33][34][35][36][37][38][39]. We mention that dark matter is also essential in the explanation of gravitational lensing observations [40,41] and in the solution of the problem of structure formation in cosmology [13,42]; however, these topics are beyond the scope of this work.…”

Section: Dark Mattermentioning

confidence: 99%

“…Dark matter is currently required in astrophysics for explaining the gravitational dynamics of galaxies as well as clusters of galaxies [9], gravitational lensing observations [10] and structure formation in cosmology [13]. We emphasize that only some of the implications of nonlocal gravity theory have thus far been confronted with observation [9,12].…”

Section: Introductionmentioning

confidence: 97%

“…The deep connection between inertia and gravitation suggests that gravity could be nonlocal as well, and, in nonlocal gravity, the gravitational memory of past events must then be taken into account. Along this line of thought, a classical nonlocal generalization of Einstein's theory of gravitation has recently been developed [2][3][4][5][6][7][8][9][10][11][12][13]. In this theory, the gravitational field is local but satisfies partial integro-differential field equations.…”

Section: Introductionmentioning

confidence: 99%

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Virial Theorem in Nonlocal Newtonian Gravity

Mashhoon

2016

Universe

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Nonlocal gravity is the recent classical nonlocal generalization of Einstein's theory of gravitation in which the past history of the gravitational field is taken into account. In this theory, nonlocality appears to simulate dark matter. The virial theorem for the Newtonian regime of nonlocal gravity theory is derived and its consequences for "isolated" astronomical systems in virial equilibrium at the present epoch are investigated. In particular, for a sufficiently isolated nearby galaxy in virial equilibrium, the galaxy's baryonic diameter D 0 -namely, the diameter of the smallest sphere that completely surrounds the baryonic system at the present time-is predicted to be larger than the effective dark matter fraction f DM times a universal length that is the basic nonlocality length scale λ 0 ≈ 3 ± 2 kpc.

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“…Thus, it is important to analyze the effect of nonlocal modification of gravity on the gravitational partition function and point out how it affects the clustering process. Such a modification can be analyzed using nonlocal corrections to the gravitational potential [53,[56][57][58][59]. In general, the nonlocal gravitational partition function can be used to analyze the effects of nonlocality on clustering of galaxies.…”

Section: Introductionmentioning

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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Nonlocal Newtonian cosmology

Cited by 25 publications

References 38 publications

Testing general relativity in cosmology

Testing general relativity in cosmology

Virial Theorem in Nonlocal Newtonian Gravity

Logarithmic corrections to Newtonian gravity and large scale structure

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