Dynamical stability of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>k</mml:mi></mml:math>-essence field interacting nonminimally with a perfect fluid
Anirban Chatterjee, Saddam Hussain, Kaushik Bhattacharya
Abstract
We study models of nonminimally coupled relativistic fluid and the $k$-essence scalar field in the background of a flat Friedmann-Lemaitre-Robertson-Walker universe. The nonminimal coupling term is introduced in the Lagrangian level. We employ the variational approach with respect to independent variables that produce modified $k$-essence field equations and the Friedmann equations. We have analyzed the coupled field-fluid framework explicitly using the dynamical system technique considering two different models based on inverse power-law potential. After examining these models it is seen that both models are capable of producing accelerating attractor solutions satisfying adiabatic sound speed conditions.