Bouncing cosmology in f(Q) symmetric teleparallel gravity

Bajardi, F; Vernieri, Daniele; Capozziello, Salvatore

doi:10.1140/epjp/s13360-020-00918-3

Cited by 145 publications

(91 citation statements)

References 114 publications

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“…There are several GR extensions which, for example, could fix some ΛCDM issues in cosmology (see e.g. [4][5][6][7], for other alternative theories of gravity), as the f (R) theories of gravity [8][9][10], that introduce in the action general functions of the Ricci scalar and do not need to invoke any Dark Energy and Dark Matter fluids to explain the current universe expansion and large scale structure [11,12]. Among these theories, the Starobinsky model [13], based on Ricci scalar corrections, seems an extremely reliable candidate to describe inflationary epoch.…”

Section: Introductionmentioning

confidence: 99%

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

2020

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Non-local gravity cosmologies are considered under the standard of Noether symmetry approach. In particular, we focus on non-local theories whose gravitational actions depend on curvature and Gauss–Bonnet scalar invariants. Specific functional forms of the related point-like Lagrangians are selected by Noether symmetries, and we solve the corresponding field equations finding out exact cosmological solutions.

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Section: Introductionmentioning

confidence: 99%

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

2020

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“…the other potentials arise from the expansion of the general metric (16). As a matter of fact, spherically symmetric solutions in modified theories of gravity do not often occur analytically, especially in the presence of matter.…”

Section: The Kerr Solution and The Lense-thirring Precessionmentioning

confidence: 99%

“…The reason is because space and time cannot be simply considered as quantum variables. Several approaches are under scrutiny like the canonical formalism, started from the early works by Arnowitt, Deser and Misner [12][13][14][15][16], the Quantum Field Theory formulation on curved spacetimes [17][18][19], the Superstring Theory [20], the Supergravity [21] and others, but none, up to now, can be considered the final, self-consistent formulation of Quantum Gravity [22].…”

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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“…Recently, Bajardi et al [51] have investigated the existence of Noether symmetries in non-local gravity cosmologies, especially the frameworks involving curvature and Gauss-Bonnet scalar invariants. They determined the specific generic functional present in the Lagrangian and found the exact cosmological solutions.…”

Section: Introductionmentioning

confidence: 99%

Isotropic exact solutions in $$F(R,Y,\phi )$$ gravity via Noether symmetries

2021

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The present article investigates the existence of Noether and Noether gauge symmetries of flat Friedman–Robertson–Walker universe model with perfect fluid matter ingredients in a generalized scalar field formulation namely $$f(R,Y,\phi )$$ f ( R , Y , ϕ ) gravity, where R is the Ricci scalar and Y denotes the curvature invariant term defined by $$Y=R_{\alpha \beta }R^{\alpha \beta }$$ Y = R α β R α β , while $$\phi $$ ϕ represents scalar field. For this purpose, we assume different general cases of generic $$f(R,Y,\phi )$$ f ( R , Y , ϕ ) function and explore its possible forms along with field potential $$V(\phi )$$ V ( ϕ ) by taking constant and variable coupling function of scalar field $$\omega (\phi )$$ ω ( ϕ ) . In each case, we find non-trivial symmetry generator and its related first integrals of motion (conserved quantities). It is seen that due to complexity of the resulting system of Lagrange dynamical equations, it is difficult to find exact cosmological solutions except for few simple cases. It is found that in each case, the existence of Noether symmetries leads to power law form of scalar field potential and different new types of generic function. For the acquired exact solutions, we discuss the cosmology generated by these solutions graphically and discuss their physical significance which favors the accelerated expanding eras of cosmic evolution.

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Bouncing cosmology in f(Q) symmetric teleparallel gravity

Cited by 145 publications

References 114 publications

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

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

Constraining theories of gravity by GINGER experiment

Isotropic exact solutions in $$F(R,Y,\phi )$$ gravity via Noether symmetries

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