Phantom attractors in Kinetic Gravity Braiding theories: a dynamical system approach

Abstract

We revise the expansion history of the scalar field theories known as Kinetic Gravity Braiding. These theories are well-known for the possibility of driving the expansion of the cosmos towards a future self-tuning de Sitter state when the corresponding Lagrangian is invariant under constant shifts in the scalar field. Nevertheless, this is not the only possible future fate of these shift-symmetric models. Using a dynamical system formulation we show that future cosmological singularities can also appear in this framework. Moreover, we present explicit examples where the future attractor in the configuration space of the theory corresponds to a big rip singularity.

v1: 22 pages, 4 tables; v2: three references added, no physics changes; v3: 24 pages, two references added, typo corrected in equation (A.7), minor comments added in sections 3, 4.1, 4.2 and 6, no physics changes, matches published version

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Cited by in corpus (3)

• Cosmographic analysis of sign-switching dark energy
• Dark energy with a shift-symmetric scalar field: obstacles, loophole hunting and dead ends
• Exact Kerr--Schild spacetimes from linearized kinetic gravity braiding