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It is known that dynamical solutions of the $k$-essence equation of motionchange the metric for the perturbations around these solutions and theperturbations propagate in an emergent spacetime with metric $\tildeG^{\mu\nu}$ different from the gravitational metric $g^{\mu\nu}$. We show thatfor observers travelling with the perturbations, there exist homogeneous fieldconfigurations for the lagrangian $L=[{1\over2}g^{\mu\nu}\nabla_{\mu}\phi\nabla_{\nu}\phi]^{2}$ for which a singularity inthe gravitational metric $g^{\mu\nu}$ can be masked or hidden for suchobservers. This is shown for the Schwarzschild and the Reissner-Nordstrommetrics.

Masking singularities with $k-$essence fields in an emergent gravity metric