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arXiv · 1710.00444

Kasner-type singularities and solitons with Lifshitz asymptotics

Yen-Kheng Lim
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Abstract

We present an exact solution in Einstein-Maxwell-dilaton gravity describing a spacetime with an anisotropic Kasner-type singularity and Lifshitz asymptotics. This configuration can also be supported by a phantom scalar while still satisfying the Null Energy Condition. For certain parameters of this solution, null geodesics can have an infinitely deep effective potential, thus trapping photons in a finite region along the radial direction. Some examples of periodic null geodesics are obtained. A particularly interesting special case of this solution is a regular, soliton-type metric that retains its Lifshitz scaling in the time coordinate.

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Yen-Kheng Lim. 2017-10-02. Kasner-type singularities and solitons with Lifshitz asymptotics. https://doi.org/10.1103/physrevd.96.124004

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