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Research output: Contribution to Journal/Magazine › Journal article › peer-review
}
TY - JOUR
T1 - Extended cosmology in Palatini f (R)-theories
AU - Pinto, Paolo
AU - Del Vecchio, L.
AU - Fatibene, L.
AU - Ferraris, M.
PY - 2018/11/27
Y1 - 2018/11/27
N2 - Abstract. We consider the cosmological models based on Palatini f (R)-theory for the function f (R) = αR − 2 β R2 − 3R γ , which, when only dust visible matter is considered, is called dune cosmology in view of the shape of the function f (R(a)) (being a the scale factor). We discuss the meaning of solving the model, and interpret it according to the Ehlers-Pirani-Schild framework as defining a Weyl geometry on spacetime.Accordingly, we extend the definitions of luminosity distance, proper distance, and red-shift to Weyl geometries and fit the values of parameters to SNIa data. Since the theoretical prediction is model-dependent, we argue that the fit is affected by an extra choice, namely a model for atomic clocks, which, in principle, produces observable effects. To the best of our knowledge, these effects have not being considered in the literature before.
AB - Abstract. We consider the cosmological models based on Palatini f (R)-theory for the function f (R) = αR − 2 β R2 − 3R γ , which, when only dust visible matter is considered, is called dune cosmology in view of the shape of the function f (R(a)) (being a the scale factor). We discuss the meaning of solving the model, and interpret it according to the Ehlers-Pirani-Schild framework as defining a Weyl geometry on spacetime.Accordingly, we extend the definitions of luminosity distance, proper distance, and red-shift to Weyl geometries and fit the values of parameters to SNIa data. Since the theoretical prediction is model-dependent, we argue that the fit is affected by an extra choice, namely a model for atomic clocks, which, in principle, produces observable effects. To the best of our knowledge, these effects have not being considered in the literature before.
KW - dark energy theory
KW - gravity
KW - modified gravity
KW - supernova type Ia - standard candles
U2 - 10.1088/1475-7516/2018/11/044
DO - 10.1088/1475-7516/2018/11/044
M3 - Journal article
VL - 2018
JO - Journal of Cosmology and Astroparticle Physics
JF - Journal of Cosmology and Astroparticle Physics
SN - 1475-7516
IS - 11
M1 - 044
ER -