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

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

2011-03-17

arxiv.org/abs/1103.3380v3

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, latex, minor typo error corrected in eq.(7)

Scientific paper

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 $\tilde G^{\mu\nu}$ different from the gravitational metric $g^{\mu\nu}$. We show that for observers travelling with the perturbations, there exist homogeneous field configurations for the lagrangian $L=[{1\over 2}g^{\mu\nu}\nabla_{\mu}\phi\nabla_{\nu}\phi]^{2}$ for which a singularity in the gravitational metric $g^{\mu\nu}$ can be masked or hidden for such observers. This is shown for the Schwarzschild and the Reissner-Nordstrom metrics.

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