4 papers
A class of decelerating inhomogeneous cosmological models giving rise to accelerating FLRW universes at large scales
Leandro G. Gomes
In this manuscript, we develop a class of inhomogeneous relativistic cosmological models with the following properties: (i) They contain cosmological observers to whom the spatial…
Einstein's equations constrained by homogeneous and isotropic expansion: Initial value problems and applications
Leandro G. Gomes, Marcelo A. C. Nogueira, Lucas Ruiz dos Santos
In this manuscript, we put forth a general scheme for defining initial value problems from Einstein's equations of General Relativity constrained by homogeneous and isotropic expan…
Spacetimes with homogeneous and isotropic expansion
Leandro G. Gomes
In this short note, we define and characterize all the spacetimes admitting observers to whom the cosmic expansion is homogeneous and isotropic and interpret their Einstein's equat…
Breaking the Cosmological Principle into pieces: a prelude to the intrinsically homogeneous and isotropic spacetimes
Leandro G. Gomes
In this manuscript, we show that three fundamental building blocks are supporting the Cosmological Principle. The first of them states that there is a special frame in the universe…