Hořava gravity after GW170817

The recent detection of gravitational wave GW170817 has placed a severe bound on the deviation of the speed of gravitational waves from the speed of light. We explore the consequences of this detection for Hořava gravity.

Figure 1

The grey area shows the region of parameter space which is compatible with the constraints [Sec. 2] for $\beta =0$. The dotted, dashed, and solid lines correspond to $c_S=1$, $c_S=10$, and $c_S=1000$, respectively. The blue, red, and brown lines show $M_{\mathrm{SC}}=1\mathrm{meV}$, $M_{\mathrm{SC}}=1\mathrm{TeV}$, and $M_{\mathrm{SC}}={10}^{10}\mathrm{GeV}$. The lower panel focuses on the region $\alpha$, $\gamma >{10}^{-20}$.

Figure 2

Same as Fig. 1 but for $\beta ={10}^{-15}$.

Figure 3

Same as Fig. 1 but for $\beta =-{10}^{-15}$.