Fundamental plane of elliptical galaxies in $f(R)$ gravity: the role of luminosity

Jovanović, V. Borka; Jovanović, P.; Borka, D.; Capozziello, Salvatore

doi:10.48550/arxiv.1812.10957

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2020

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“…One of the most renowned proposal in this sense is represented by f (R) gravity [13][14][15][16], where the gravitational action of GR is extended including a generic function of the scalar curvature. Indeed, by means of such an extension, it is possible to explain the current acceleration of the Universe [17,18] and to fit the galaxy rotation curves [19][20][21][22][23] without any dark energy or dark matter. f (R) gravity is just an example of more general classes of theories leading to higher-order field equations (see e.g.…”

Section: Introductionmentioning

confidence: 99%

Bouncing cosmology in f(Q) symmetric teleparallel gravity

2020

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We consider f(Q) extended symmetric teleparallel cosmologies, where Q is the non-metricity scalar, and constrain its functional form through the order reduction method. By using this technique, we are able to reduce and integrate the field equations and thus to select the corresponding models giving rise to bouncing cosmology. The selected Lagrangian is then used to develop the Hamiltonian formalism and to obtain the Wave Function of the Universe which suggests that classical observable universes can be recovered according to the Hartle Criterion.

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