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Within the framework of ab initio time-dependent density-functional theory(TD-DFT), we propose a static approximation to the exchange-correlation kernelbased on the jellium-with-gap model. This kernel accounts for electron-holeinteractions and it is able to address both strongly bound excitons and weakexcitonic effects. TD-DFT absorption spectra of several bulk materials (bothsemiconductor and insulators) are reproduced in very good agreement with theexperiments and with a low computational cost.

Optical spectra of solids obtained by time-dependent density-functional theory with the jellium-with-gap model exchange-correlation kernel