Self-similar cosmological solutions in symmetric teleparallel theory: Friedmann-Lemaître-Robertson-Walker spacetimes
N. Dimakis, M. Roumeliotis, Andronikos Paliathanasis, Pantelis S. Apostolopoulos, T. Christodoulakis
Abstract
The existence of self-similar solutions is discussed in symmetric teleparallel $f(Q)$ theory for a Friedmann-Lema\^{\i}tre-Robertson-Walker background geometry with zero and nonzero spatial curvature. For the four distinct families of connections that describe the specific cosmology in symmetric teleparallel gravity, the functional form of $f(Q)$ is reconstructed. Finally, to see if the analogy with GR holds, we discuss the relation of the self-similar solutions with the asymptotic behavior of more general $f(Q)$ functions.
Topics & Concepts
Friedmann equationsMathematical physicsPhysicsCurvatureAnalogyCosmologyZero (linguistics)Classical mechanicsMathematicsQuantum mechanicsGeometryDark energyPhilosophyLinguisticsCosmology and Gravitation TheoriesAdvanced Differential Geometry ResearchBlack Holes and Theoretical Physics