Noether symmetries and quantum cosmology in extended teleparallel gravity

Bajardi, F; Capozziello, Salvatore

doi:10.1142/s0219887821400028

Cited by 40 publications

(35 citation statements)

References 76 publications

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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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Section: Introductionmentioning

confidence: 99%

Constraining theories of gravity by GINGER experiment

et al. 2021

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“…in. 57,[112][113][114][115][116] Besides the ordinary application of the well known Noether theorem, we start by assuming that the Lagrangian is invariant under some transformation involving coordinates x µ and fields φ i , namely:…”

Section: Appendix a The Noether Symmetry Approachmentioning

confidence: 99%

Non-Local Gravity Cosmology: an Overview

Capozziello,

Bajardi

2022

Preprint

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We discuss some main aspects of theories of gravity containing non-local terms in view of cosmological applications. In particular, we consider various extensions of General Relativity based on geometrical invariants as f (R, −1 R), f (G, −1 G) and f (T, −1 T ) gravity where R is the Ricci curvature scalar, G is the Gauss-Bonnet topological invariant, T the torsion scalar and the operator −1 gives rise to non-locality. After selecting their functional form by using Noether Symmetries, we find out exact solutions in a cosmological background. It is possible to reduce the dynamics of selected models and to find analytic solutions for the equations of motion. As a general feature of the approach, it is possible to address the accelerated expansion of the Hubble flow at various epochs, in particular the dark energy issues, by taking into account non-locality corrections to the gravitational Lagrangian. On the other hand, it is possible to search for gravitational non-local effects also at astrophysical scales. In this perspective, we search for symmetries of f (R, −1 R) gravity also in a spherically symmetric background and constrain the free parameters, Specifically, by taking into account the S2 star orbiting around the Galactic Centre SgrA * , it is possible to study how non-locality affects stellar orbits around such a massive self-gravitating object.

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“…Though the teleparallel field equations are exactly equivalent to those of Einstein's GR, f (R) theory and f (T) theory are different. Nevertheless, extended TEGR provides several cosmological predictions not contemplated by GR, as well as modifications to the ΛCDM model [42], the explanation of the accelerated universe expansion without dark energy [14,17,43,44], and models for the inflationary paradigm [25].…”

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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Noether symmetries and quantum cosmology in extended teleparallel gravity

Cited by 40 publications

References 76 publications

Constraining theories of gravity by GINGER experiment

Constraining theories of gravity by GINGER experiment

Non-Local Gravity Cosmology: an Overview

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

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