The general form of the coupled Horndeski Lagrangian that allows cosmological scaling solutions

• Verfasst von: Gomes, Adalto R. [VerfasserIn]
• Verfasst von: Amendola, Luca [VerfasserIn]
• Titel: The general form of the coupled Horndeski Lagrangian that allows cosmological scaling solutions
• Verf.angabe: Adalto R. Gomes, Luca Amendola
• Fussnoten: Gesehen am 11.10.2017
• Titel Quelle: Enthalten in: De.arxiv.org
• Jahr Quelle: 2015
• Band/Heft Quelle: (2015) Artikel-Nummer 1511.01004, 28 Seiten
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1565224973

Abstract

We consider the general scalar field Horndeski Lagrangian coupled to matter. Within this class of models, we present two results that are independent of the particular form of the model. First, we show that in a Friedmann-Robertson-Walker metric the Horndeski Lagrangian coincides with the pressure of the scalar field. Second, we employ the previous result to identify the most general form of the Lagrangian that allows for cosmological scaling solutions, i.e. solutions where the ratio of matter to field density and the equation of state remain constant. Scaling solutions of this kind may help solving the coincidence problem since in this case the presently observed ratio of matter to dark energy does not depend on initial conditions, but rather on the theoretical parameters.