Non-local curvature and Gauss–Bonnet cosmologies by Noether symmetries

Bajardi, F; Capozziello, Salvatore; Vernieri, Daniele

doi:10.1140/epjp/s13360-020-00944-1

Cited by 20 publications

(11 citation statements)

References 81 publications

(110 reference statements)

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“…However, it is possible to obtain cosmic expansion without considering dark energy related to some new fundamental particle. In fact, large scale nonlocality related to some effective gravitational potential seems a realistic effect of gravitational field at infrared scales as recently reported in several papers, see for example [38][39][40][41][42]. It has been argued that such nonlocalities can occur due to some quantum gravitational effects [38,39,43].…”

Section: Introductionmentioning

confidence: 61%

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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: Introductionmentioning

confidence: 61%

“…In other words, as nonlocal cosmology can explain the cosmic expansion without dark energy [38][39][40][41][42], such nonlocal corrections can also be used to incorporate the effects of cosmic expansion in the gravitational partition function. This one can then 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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“…Essentially, these effective actions can be distinguished in two main categories: Extended Theories of Gravity [35][36][37][38][39][40][41][42] which improve the Hilbert-Einstein action involving higherorder curvature invariants or scalar fields, and Alternative Theories of Gravity, where some basic assumptions of GR are relaxed, as well as the torsionless connection, the metricity or the universal validity of the equivalence principle [43][44][45][46][47][48][49].…”

Section: Introductionmentioning

confidence: 99%

Constraining theories of gravity by GINGER experiment

et al. 2021

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The debate on gravity theories to extend or modify general relativity is very active today because of the issues related to ultraviolet and infrared behavior of Einstein’s theory. In the first case, we have to address the quantum gravity problem. In the latter, dark matter and dark energy, governing the large-scale structure and the cosmological evolution, seem to escape from any final fundamental theory and detection. The state of the art is that, up to now, no final theory, capable of explaining gravitational interaction at any scale, has been formulated. In this perspective, many research efforts are devoted to test theories of gravity by space-based experiments. Here, we propose straightforward tests by the GINGER experiment, which, being Earth based, requires little modeling of external perturbation, allowing a thorough analysis of the systematics, crucial for experiments where sensitivity breakthrough is required. Specifically, we want to show that it is possible to constrain parameters of gravity theories, like scalar–tensor or Horava–Lifshitz gravity, by considering their post-Newtonian limits matched with experimental data. In particular, we use the Lense–Thirring measurements provided by GINGER to find out relations among the parameters of theories and finally compare the results with those provided by LARES and Gravity Probe B satellites.

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“…An important advantage of this formulation of gravity is given by the absence of ghost modes in gravitational waves, as discussed in [28]; even in cosmology, the theory yields many interesting predictions, which alleviate the GR issues at infrared scales [35][36][37][38][39].…”

Section: A Summary Of Extended and Modified Theories Of Gravitymentioning

confidence: 99%

Renormalizability of Alternative Theories of Gravity: Differences between Power Counting and Entropy Argument

2021

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It is well known that General Relativity cannot be considered under the standard of a perturbatively renormalizable quantum field theory, but asymptotic safety is taken into account as a possibility for the formulation of gravity as a non-perturbative renormalizable theory. Recently, the entropy argument has however stepped into the discussion claiming for a “no-go” to the asymptotic safety argument. In this paper, we present simple counter-examples, considering alternative theories of gravity, to the entropy argument as further indications, among others, on the possible flows in the assumptions on which the latter is based. We considered different theories, namely curvature-based extensions of General Relativity as f(R), f(G), extensions of teleparallel gravity as f(T), and Horava–Lifshitz gravity, working out the explicit spherically symmetric solutions in order to make a comparison between power counting and the entropy argument. Even in these cases, inconsistencies were found.

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Non-local curvature and Gauss–Bonnet cosmologies by Noether symmetries

Cited by 20 publications

References 81 publications

Logarithmic corrections to Newtonian gravity and large scale structure

Logarithmic corrections to Newtonian gravity and large scale structure

Constraining theories of gravity by GINGER experiment

Renormalizability of Alternative Theories of Gravity: Differences between Power Counting and Entropy Argument

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