http://arxiv.org/abs/1710.04458

Motivated by the apparent discrepancy between Cosmic Microwave Background measurements of the Hubble constant and measurements from Type-Ia supernovae, we construct a model for Dark Energy with equation of state $w = p / \rho < -1$, violating the Null Energy Condition. Naive canonical models of so-called “Phantom” Dark Energy require a negative scalar kinetic term, resulting in a Hamiltonian unbounded from below and associated vacuum instability. We construct a scalar field model for Dark Energy with $w < -1$, which nonetheless has a Hamiltonian bounded from below. We demonstrate that the solution is a cosmological attractor, and the homogeneous solution is therefore a viable model for cosmic Dark Energy with Hubble parameter increasing in time, as suggested by data. Issues, however, remain: despite having a bounded Hamiltonian, the model considered here nonetheless still suffers from the presence of a classical gradient instability.

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G. Barenboim and W. Kinney

Fri, 13 Oct 17

48/56

Comments: 12 pages, 4 figures

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