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SiH has long been observed in the spectrum of our Sun and other cool stars.Computed line lists for the main isotopologues of silicon monohydride,$^{28}$SiH, $^{29}$SiH, $^{30}$SiH and $^{28}$SiD are presented. These linelists consider rotation-vibration transitions within the ground $X$ $^{2}\Pi$electronic state as well as transitions to the low-lying $A$ $^{2}\Delta$ and$a$ $^{4}\Sigma^-$ states. Ab initio potential energy (PECs) and dipole momentcurves (DMCs) along with spin-orbit and electronic-angular-momentum couplingsbetween them are calculated using the MRCI level of theory with the MOLPROpackage. The PEC for the ground X $^2\Pi$ state is refined to availableexperimental data with a typical accuracy of around 0.01 cm$^{-1}$ or better.The $^{28}$SiH line list includes 11,785 rovibronic states and 1,724,841transitions with associated Einstein-A coefficients for angular momentum $J$ upto $82.5$ and covering wavenumbers up to 31340 cm$^{-1}$ ($\lambda$ $<$ 0.319$\mu$m). Spectra are simulated using the new line list and comparisons madewith various experimental spectra. These line lists are applicable up totemperatures of ~5000 K, making them relevant to astrophysical objects such asexoplanetary atmospheres and cool stars and opening up the possibility ofdetection in the interstellar medium. These line lists are available at theExoMol www.exomol.com and CDS database websites.

ExoMol line lists XXIV: A new hot line list for silicon monohydride, SiH