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We present a detailed spectral modelling of NGC4993 -- the host galaxy ofGW170817 -- and other SGRB host galaxies. In order to determine their physicalconditions and the element abundances, we have gathered spectroscopic andphotometric data from the literature. The observation data are sometimesmissing preventing us from fully constraining the model. However, for most ofthe SGRB hosts the [OIII]5007/Hb and [NII]6548/Ha line ratios are reported. Theanalysis of NGC4993 by a composite model (photoionization+shock) confirms thatan AGN, most probably a LINER or a LLAGN, is the gas photoionization source.Shock velocities and preshock densities are similar to those found in thenarrow line region of AGN. O/H and N/H have solar values. For the other SGRB ofthe sample we have found that O/H ratios are nearly solar, while N/H cover amuch larger range of values at redshifts close to 0.4. In NGC4993, the relativecontribution to the SED of an old stellar population, characterized by a blackbody temperature of Tbb=4000K, with respect to Bremsstrahlung is higher by afactor >100 than in most of the local AGN and SB galaxies. For the other SGRBcomposing the sample, Tbb ranges between 2000K for SGRB100206A and 8000K forSGRB7A.

Modelling line ratios and continuum SED of NGC4993 and other short GRB host galaxies