Nonsingular black hole in two-dimensional asymptotically flat spacetime

Abstract

We study a special two-dimensional dilaton gravity with Lagrangian $\mathcal{L}=\frac{1}{2}\sqrt{-g}(\varphi R+{\lambda }^2{\mathrm{sech}}^2\varphi )$ where $\lambda$ is a parameter of dimension mass. This theory describes two-dimensional spacetimes that are asymptotically flat. Very interestingly, it has an exact solution for the metric, $\d s^2=-(c+\tanh λx)\d t^2+ \d x^2/(c+\tanh λ x)$, parametrized by $c$. For $c\in (-1,1)$, the solution presents an event horizon but no singularity. Because of the kink profile for the metric components appearing in the solution, we refer to the spacetime described by the metric as a {\it gravitational domain wall} with the wall simply being the event horizon and separating two asymptotically Minkowskian spacetimes. The global causal structure for such an object is studied via coordinate extension and the thermodynamical quantities are computed. Only when $c\in (-1,0]$ are the entropy and energy non-negative.

13 pages, 3 figures; v2: the section "coupling to matter" removed, the title changed and typos corrected; v3: minor changes, to match the published version

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Cited by in corpus (3)

• Evaporation and information puzzle for 2D nonsingular asymptotically flat black holes
• Kink solutions in generalized 2D dilaton gravity
• Black bounces and remnants in dilaton gravity