Carrollian limit of quadratic gravity

P Tadros, I Kolář - Physical Review D, 2023 - APS
We study the Carrollian limit of the (general) quadratic gravity in four dimensions. We find
that in order for the Carrollian theory to be a modification of the Carrollian limit of general …

Chaplygin-gas solutions of gravity

M Elmardi, A Abebe, A Tekola - International Journal of Geometric …, 2016 - World Scientific
We explore exact f (R) gravity solutions that mimic Chaplygin-gas inspired Λ CDM
cosmology. Starting with the original, generalized and modified Chaplygin-gas (MCG) …

Breaking the cosmological background degeneracy by two-fluid perturbations in f (R) gravity

A Abebe - International Journal of Modern Physics D, 2015 - World Scientific
One of the exact solutions of f (R) theories of gravity in the presence of different forms of
matter exactly mimics the ΛCDM solution of general relativity (GR) at the background level …

Reconstructing gravity from a Chaplygin scalar field in de Sitter spacetimes

H Sami, N Namane, J Ntahompagaze… - … Journal of Geometric …, 2018 - World Scientific
We present a reconstruction technique for models of f (R) gravity from the Chaplygin scalar
field in flat de Sitter spacetimes. Exploiting the equivalence between f (R) gravity and scalar …

On the hyperbolicity and stability of formulations of metric f(R) gravity

B Mongwane - General Relativity and Gravitation, 2016 - Springer
Abstract 3+ 1 3+ 1 formulations of the Einstein field equations have become an invaluable
tool in Numerical relativity, having been used successfully in modeling spacetimes of black …

Irrotational-fluid cosmologies in fourth-order gravity

A Abebe, M Elmardi - International Journal of Geometric Methods in …, 2015 - World Scientific
In this paper, we explore classes of irrotational-fluid cosmological models in the context of f
(R)-gravity in an attempt to put some theoretical and mathematical restrictions on the form of …

Shear-free anisotropic cosmological models in f\,(R) f (R) gravity

A Abebe, D Momeni, R Myrzakulov - General Relativity and Gravitation, 2016 - Springer
We study a class of shear-free, homogeneous but anisotropic cosmological models with
imperfect matter sources in the context of f (R) gravity. We show that the anisotropic stresses …

Integrability conditions of quasi-Newtonian cosmologies in modified gravity

A Abebe, PKS Dunsby, D Solomons - International Journal of …, 2017 - World Scientific
We investigate the integrability conditions of a class of shear-free perfect-fluid cosmological
models within the framework of anisotropic fluid sources, applying our results to f (R) dark …

Topics in relativistic cosmology: Cosmology on the past lightcone and in modified gravitation

MYA Elmardi - 2018 - open.uct.ac.za
The lightcone gauge is a set of what are called the observational coordinates adapted to our
past lightcone. We develop this gauge by producing a perturbed spacetime metric that …

Oscillating cosmological correlations in f (R) gravity

N Namane, H Sami, A Abebe - arXiv preprint arXiv:1807.11330, 2018 - arxiv.org
The purpose of this paper is to investigate the oscillatory behavior of the universe through a
Schr\" odinger-like Friedmann equation and a modified gravitational background described …