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Título
Disformal invariance of second order scalar-tensor theories: Framing the Horndeski action
Autor
Facultad/Centro
Área de conocimiento
Título de la revista
Physical Review D
Número de la revista
8
Datos de la obra
Bettoni, D., & Liberati, S. (2013). Disformal invariance of second order scalar-tensor theories: Framing the Horndeski action. Physical Review D, 88(8), 084020.
Editor
American Physical Society
Fecha
2013-10-14
ISSN
1550-7998
Résumé
[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.
Materia
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SI
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