The sound of DHOST
arXiv:1810.09997 · doi:10.1088/1475-7516/2018/12/027
Abstract
We show that, in generic higher-order scalar-tensor theories which avoid the Ostrogradsky instability, the presence of a scalar field significantly modifies the propagation of matter perturbations, even in weakly curved backgrounds. This affects notably the speed of sound in the atmosphere of the Earth. It can also generate instabilities in homogeneous media. We use this to constrain the viable higher-order scalar-tensor models.
arXiv comment10 pages, 2 figures. Appendix added in second version
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