An inhomogeneous fractal cosmological model

Abstract

We present a cosmological model in which the metric allows for an inhomogeneous Universe with no intrinsic symmetries (Stephani models), providing the ideal features to describe a fractal distribution of matter. Constraints on the metric functions are derived using the expansion and redshift relations and allowing for scaling number counts, as expected in a fractal set. The main characteristics of such a cosmological model are discussed.

11 pages, no figures, accepted for publication on Classical and Quantum Gravity

References in corpus (2)

• On Modelling a Relativistic Hierarchical (Fractal) Cosmology by Tolman's Spacetime. I. Theory
• Relativistic corrections to fractal analyses of the galaxy distribution

Cited by in corpus (4)

• Relativistic Cosmology Number Counts and the Luminosity Function
• Inhomogeneous cosmologies, the Copernican principle and the cosmic microwave background: More on the EGS theorem
• On the Fractal Structure of the Universe
• Limits on the Time Evolution of Space Dimensions from Newton's Constant