Cosmology 2018 in Dubrovnik

Geometric model of dark energy according to projected hyperconical universes

25 Oct 2018, 16:00

30m

Dubrovnik, Croatia

Afternoon session

Speaker

Dr Robert Monjo (Department of Algebra, Geometry and Topology, Complutense University of Madrid )

Description

Using hyperconical universes with linear expansion, radially inhomogeneous metrics can be obtained by local time-preserved transformations. This model tends to a locally flat Friedman-Robertson-Walker metric with linear expansion. The corresponding luminosity distance was obtained and compared with the observations of 580 SNe Ia, taken from the Supernova Cosmology Project (SCP). The best fit of the hyperconical model obtains ${\chi }_0^2=562$, the same value that the standard $\mathrm{\Lambda }$CDM model. Choosing a radially distorted stereographic projection and taking regional (second order) equality between the Hubble parameter obtained from both models, it is predicted that the dark energy density is ${\mathrm{\Omega }}_{\mathrm{\Lambda }}=0.6937181(2)$.

Presentation materials

RMonjo_dark_energy_model.pdf

RMonjo_dark_energy_model.ppt