Inhomogeneous cosmology and expansion of the Universe: a fractal exact solution
by
Giuseppe Fanizza(BA)
→
Europe/Rome
248 (INFN, Ed. C)
248
INFN, Ed. C
Description
"In the framework of General Relativity we provide an exact solution of a Lemaitre-Tolman-Bondi (LTB) Universe based on the assumption that such a smooth metric is able to describe, on average, a fractal distribution of matter. While the LTB model has a center, we speculate that, when the fractal dimension is not very different from the space dimension, this metric applies to any point of the fractal structure
when chosen as center so that, on average, there is not any special point or direction. This solution is then applied to the observed magnitude-redshift relation of type Ia supernovae (SNe Ia), showing that the fractal distribution of matter can fit data when the corresponding space-time metric is modeled as a smooth LTB one and if the fractal dimension on scales of a few hundreds Mpc is significantly different from 3."
