Gravitational collapse of K-essence Matter in Painlevé-Gullstrand coordinates

Abstract

We conduct numerical simulations in Painlevé-Gullstrand coordinates of a variety of K-essence-type scalar fields under spherically symmetric gravitational collapse. We write down generic conditions on the K-essence lagrangian that can be used to determine whether superluminality and Cauchy breakdown are possible. Consistent with these conditions, for specific choices of K-essence-type fields we verify the presence of superluminality during collapse, while for other type we do not. We also demonstrate that certain choices of K-essence scalar fields present issues under gravitational collapse in Painlevé-Gullstrand coordinates, such as a breakdown of the Cauchy problem.

14 pages, 8 figures

References in corpus (6)

• No-go theorem for k-essence dark energy
• Escaping from the black hole?
• Galileon accretion
• Gravitational collapse of k-essence
• Spherically Symmetric Black Hole Formation in Painlevé-Gullstrand Coordinates
• Non-Stationary Dark Energy Around a Black Hole

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