Formation of caustics in k-essence and Horndeski theory

@article{Babichev2016FormationOC,
  title={Formation of caustics in k-essence and Horndeski theory},
  author={Eugeny Babichev},
  journal={Journal of High Energy Physics},
  year={2016},
  volume={2016},
  pages={1-18}
}
  • E. Babichev
  • Published 1 February 2016
  • Physics
  • Journal of High Energy Physics
A bstractWe study propagation of waves and appearance of caustics in k-essence and galileon theories. First we show that previously known solutions for travelling waves in k-essence and galileon models correspond to very specific fine-tuned initial conditions. On the contrary, as we demonstrate by the method of characteristics, generic initial conditions leads to a wave in k-essence which ends up with formation of caustics. Finally, we find that any wave solution in pure k-essence is also a… 
Caustic free completion of pressureless perfect fluid and k-essence
A bstractBoth k-essence and the pressureless perfect fluid develop caustic singularities at finite time. We further explore the connection between the two and show that they belong to the same class
Caustics for spherical waves
We study the development of caustics in shift-symmetric scalar field theories by focusing on simple waves with an $SO(p)$-symmetry in an arbitrary number of space dimensions. We show that the pure
Wave propagation and shock formation in the most general scalar-tensor theories
This work studies wave propagation in the most general scalar-tensor theories, particularly focusing on the causal structure realized in these theories and also the shock formation process induced by
K-dynamics: well-posed 1+1 evolutions in K-essence
We study the vacuum Cauchy problem for K-essence, i.e. cosmologically relevant scalar-tensor theories that involve first-order derivative self-interactions, and which pass all existing gravitational
Is the DBI scalar field as fragile as other k -essence fields?
Caustic singularity formations in shift-symmetric $k$-essence and Horndeski theories on a fixed Minkowski spacetime were recently argued. In $n$ dimensions, this singularity is the
K-dynamics: well-posed initial value 1+1 evolutions in K-essence
We study the vacuum initial value (Cauchy) problem for K-essence, i.e. cosmologically relevant scalar-tensor theories that involve first-order derivative self-interactions, and which pass all
Caustic formation upon shift symmetry breaking
We examine how the breaking of shift symmetry affects the formation of caustics for the standard canonical kinetic theory as well as for the DBI theory. We show in this case, that the standard
Living with ghosts in Hořava-Lifshitz gravity
A bstractWe consider the branch of the projectable Hořava-Lifshitz model which exhibits ghost instabilities in the low energy limit. It turns out that, due to the Lorentz violating structure of the
Black holes and stars in Horndeski theory
We review black hole and star solutions for Horndeski theory. For non-shift symmetric theories, black holes involve a Kaluza-Klein reduction of higher dimensional Lovelock solutions. On the other
Black holes in a cubic Galileon universe
We find and study the properties of black hole solutions for a subclass of Horndeski theory including the cubic Galileon term. The theory under study has shift symmetry but not reflection symmetry
...
1
2
3
4
...

References

SHOWING 1-10 OF 78 REFERENCES
Plane waves in the generalized Galileon theory
We present an exact plane wave solution of the most general shift-symmetric Horndeski (generalized Galileon) theory. The solution consists of the scalar part, and the gravitational part with two
Caustics in Tachyon Matter and Other Born-Infeld Scalars
We consider scalar Born-Infeld type theories with arbitrary potentials V(T) of a scalar field T. We find that for models with runaway potentials V(T) the generic inhomogeneous solutions after a short
Note on the stabilities of the lightlike Galileon solutions
Light-like galileon solutions have been used to investigate the chronology problem in galileon-like theories, and in some cases may also be considered as solitons, evading a non-existence constraint
Stability of closed timelike curves in a Galileon model
A bstractRecently Burrage, de Rham, Heisenberg and Tolley have constructed eternal, classical solutions with closed timelike curves (CTCs) in a Galileon model coupled to an auxiliary scalar field.
Formation of caustics in Dirac-Born-Infeld type scalar field systems
We investigate the formation of caustics in the Dirac-Born-Infeld type scalar field systems for generic classes of potentials, viz., massive rolling scalar with potential, V({phi})=V{sub 0}e{sup
Galileon as a local modification of gravity
In the Dvali-Gabadadze-Porrati (DGP) model, the "self-accelerating" solution is plagued by a ghost instability, which makes the solution untenable. This fact, as well as all interesting departures
From k-essence to generalised Galileons
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
Essentials of k essence
We recently introduced the concept of ``k-essence'' as a dynamical solution for explaining naturally why the universe has entered an epoch of accelerated expansion at a late stage of its evolution.
Closed timelike curves in the Galileon model
A bstractIt has long been known that generic solutions to the nonlinear DGP and Galileon models admit superluminal propagation. In this note we present a solution of these models which also admits
Moving stable solitons in Galileon Theory
...
1
2
3
4
5
...