From k -essence to generalized Galileons
Université Paris Cité · Délégation Paris 7 · +6 more institutions
Abstract
We determine the most general scalar field theories which have an action that depends on derivatives of order two or less, and have equations of motion that stay second order and lower on flat space-time. We show that those theories can all be obtained from linear combinations of Lagrangians made by multiplying a particular form of the Galileon Lagrangian by an arbitrary scalar function of the scalar field and its first derivatives. We also obtain curved space-time extensions of those theories which have second-order field equations for both the metric and the scalar field. This provides the most general extension, under the condition that field equations stay second order, of $k$-essence, Galileons,…
Citation impact
- FWCI
- 35.47
- Percentile
- 100%
- References
- 45
Authors
4- CDCédric DeffayetCorresponding
Université Paris Cité, Délégation Paris 7, Commissariat à l'Énergie Atomique et aux Énergies Alternatives, Centre National de la Recherche Scientifique, Laboratoire AstroParticule et Cosmologie
- XGXian Gao
Laboratoire de Physique Théorique, Laboratoire AstroParticule et Cosmologie, Commissariat à l'Énergie Atomique et aux Énergies Alternatives, Université Paris Cité, Sorbonne Université, Centre National de la Recherche Scientifique, Institut d'Astrophysique de Paris
- DAD. A. Steer
Délégation Paris 7, Laboratoire AstroParticule et Cosmologie, Université Paris Cité, Commissariat à l'Énergie Atomique et aux Énergies Alternatives, Centre National de la Recherche Scientifique
- GZGeorge Zahariade
Université Paris Cité, Commissariat à l'Énergie Atomique et aux Énergies Alternatives, Centre National de la Recherche Scientifique, Laboratoire AstroParticule et Cosmologie, Délégation Paris 7
Topics & keywords
- Scalar field
- Scalar (mathematics)
- Formalism (music)
- Euler's formula
- Mathematical physics
- Field (mathematics)
- Physics
- Gravitation