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arXiv · 2210.10295

Self-similar Cosmological Solutions in Symmetric Teleparallel theory: Friedmann-Lema\^itre-Robertson-Walker spacetimes

N. Dimakis·M. Roumeliotis·A. Paliathanasis·P. S. Apostolopoulos·T. Christodoulakis
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Abstract

The existence of self-similar solutions is discussed in symmetric teleparallel $f(Q)$-theory for a Friedmann-Lema\^itre-Robertson-Walker background geometry with zero and non-zero spatial curvature. For the four distinct families of connections which describe the specific cosmology in symmetric teleparallel gravity, the functional form of $f(Q)$ is reconstructed. Finally, to see if the analogy with General Relativity holds, we discuss the relation of the self-similar solutions with the asymptotic behaviour of more general $f(Q)$ functions.

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N. Dimakis, M. Roumeliotis, A. Paliathanasis, P. S. Apostolopoulos, T. Christodoulakis. 2022-10-19. Self-similar Cosmological Solutions in Symmetric Teleparallel theory: Friedmann-Lema\^itre-Robertson-Walker spacetimes. https://arxiv.org/abs/2210.10295

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