300 citations · 2.6k across the 72 of their papers we have counts for
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Dynamical systems analysis of anisotropic cosmologies in -gravity
Naureen Goheer, Jannie A. Leach, Peter K. S. Dunsby
In this paper we study the dynamics of {\it orthogonal spatially homogeneous} Bianchi cosmologies in -gravity. We construct a compact state space by dividing the state space i…
Compactifying the state space for alternative theories of gravity
Naureen Goheer, Jannie A. Leach, Peter K. S. Dunsby
In this paper we address important issues surrounding the choice of variables when performing a dynamical systems analysis of alternative theories of gravity. We discuss the advant…
The evolution of density perturbations in f(R) gravity
S. Carloni, P. K. S. Dunsby, A. Troisi
We give a rigorous and mathematically well defined presentation of the Covariant and Gauge Invariant theory of scalar perturbations of a Friedmann-Lemaitre-Robertson-Walker univers…
Cosmological dynamics of exponential gravity
M. Abdelwahab, S Carloni, P K. S. Dunsby
We present a detailed investigation of the cosmological dynamics based on gravity. We apply the dynamical system approach to both the vacuum and matter cases and obta…
Some remarks on the dynamical systems approach to fourth order gravity
S. Carloni, A. Troisi, P. K. S. Dunsby
Building on earlier work, we discuss a general framework for exploring the cosmological dynamics of Higher Order Theories of Gravity. We show that once the theory of gravity has be…
An analysis of the shear dynamics in Bianchi I cosmologies with -gravity
Jannie A. Leach, Peter K. S. Dunsby, Sante Carloni
We consider the case of -gravity and perform a detailed analysis of the dynamics in Bianchi I cosmologies which exhibit {\it local rotational symmetry} (LRS). We find exact so…