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.

arXiv comment13 pages, 3 figures; v2: the section "coupling to matter" removed, the title changed and typos corrected; v3: minor changes, to match the published version

References in corpus (18)

• Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
• Comments on the Sachdev-Ye-Kitaev model
• Evanescent Black Holes
• Chaos in AdS${}_2$ holography
• An Investigation of AdS${}_2$ Backreaction and Holography
• The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual
• Dilaton Gravity in Two Dimensions
• AdS${}_2$ holography and the SYK model
• JT gravity as a matrix integral
• Observables for Two-Dimensional Black Holes
• Models of AdS_2 Backreaction and Holography
• Quantum dilatonic gravity in d = 2,4 and 5 dimensions
• Gravity in Two Spacetime Dimensions
• Deformations of JT Gravity and Phase Transitions
• On aspects of 2-dim dilaton gravity, dimensional reduction and holography
• Ramifications of Lineland
• Quantum Dilaton Gravity in Two Dimensions with Fermionic Matter
• Flat space cosmologies in two dimensions - Phase transitions and asymptotic mass-domination

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