Beyond generalized Proca theories
By Lavinia Heisenberg, R. Kase, S. Tsujikawa. 2016
137 citations recorded by the source corpus.
We consider higher-order derivative interactions beyond second-order generalized Proca theories that propagate only the three desired polarizations of a massive vector field besides the two tensor polarizations from gravity. These new interactions follow the similar construction criteria to those arising in the extension of scalar–tensor Horndeski theories to Gleyzes–Langlois–Piazza–Vernizzi (GLPV) theories. On the isotropic cosmological background, we show the existence of a constraint with a vanishing Hamiltonian that removes the would-be Ostrogradski ghost. We study the behavior of linear perturbations on top of the isotropic cosmological background in the presence of a matter perfect fluid and find the same number of propagating degrees of freedom as in generalized Proca theories (two tensor polarizations, two transverse vector modes, and two scalar modes). Moreover, we obtain the conditions for the avoidance of ghosts and Laplacian instabilities of tensor, vector, and scalar perturbations. We observe key differences in the scalar sound speed, which is mixed with the matter sound speed outside the domain of generalized Proca theories.
View Paper: https://www.semanticscholar.org/paper/3f48a30d1304adfa6660d362d2d3796eaa07b9db
How researchers see this paper
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- J. Ezquiaga
- Lavinia Heisenberg
- E. Allys
- M. Zumalacárregui
- P. Peter
- Y. Rodríguez
- N. Frusciante
- Tsutomu Kobayashi
Citations in the corpus
- Dark energy and modified gravity in degenerate higher-order scalar–tensor (DHOST) theories: A review (2018, unknown): “It should be pointed out that similar analyses have been performed for vector-tensor theories (see in particular [108, 109] and other references in the review [110]) and for exploring theories beyond Lovelock [111].”
- A systematic approach to generalisations of General Relativity and their cosmological implications (2018, methodology): “Including this type of beyond generalized Proca interactions, the action becomes [67]”
- Dark Energy in Light of Multi-Messenger Gravitational-Wave Astronomy (2018, background): “In analogy to beyond Horndeski, there are also beyond generalized Proca interactions (Heisenberg et al., 2016; Kimura et al., 2017).”
- Generalized Proca action for an Abelian vector field (2015, background): “[8–11]), thereby forming the vector Galileon case [12, 13], which was investigated thoroughly [14–21].”