Paper detail

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

It is known that dynamical solutions of the $k$-essence equation of motion change the metric for the perturbations around these solutions and the perturbations propagate in an emergent spacetime with metric $\tilde G^{μν}$ different from the gravitational metric $g^{μν}$. We show that for observers travelling with the perturbations, there exist homogeneous field configurations for the lagrangian $L=[{1\over 2}g^{μν}\nabla_μϕ\nabla_νϕ]^{2}$ for which a singularity in the gravitational metric $g^{μν}$ can be masked or hidden for such observers. This is shown for the Schwarzschild and the Reissner-Nordstrom metrics.