RT info:eu-repo/semantics/article
T1 Disformal invariance of second order scalar-tensor theories: Framing the Horndeski action
A1 Bettoni, Dario
A1 Liberati, Stefano
A2 Didactica de la Matematica
K1 Física
K1 Gravitación modificada
K1 Gravitación
K1 Horndeski theory
K1 Scalar-tensor gravity
K1 2101.05 Gravitación
AB [EN] The Horndeski action is the most general one involving a metric and a scalar field that leads to second-order field equations in four dimensions. Being the natural extension of the well-known scalar-tensor theories, its structure and properties are worth analyzing along the experience accumulated in the latter context. Here, we argue that disformal transformations play, for the Horndeski theory, a similar role to that of conformal transformations for scalar-tensor theories a là Brans–Dicke. We identify the most general transformation preserving second-order field equations and discuss the issue of viable frames for this kind of theory, in particular, the possibility to cast the action in the so-called Einstein frame. Interestingly, we find that only for a subset of the Horndeski Lagrangian such a frame exists. Finally, we investigate the transformation properties of such frames under field redefinitions and frame transformations and their reciprocal relationship.
PB American Physical Society
SN 1550-7998
LK https://hdl.handle.net/10612/18097
UL https://hdl.handle.net/10612/18097
NO Bettoni, D., & Liberati, S. (2013). Disformal invariance of second order scalar-tensor theories: Framing the Horndeski action. Physical Review D, 88(8), 084020.
DS BULERIA. Repositorio Institucional de la Universidad de León
RD 26-jun-2024