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arXiv · 1506.00725

3D gravity with dust: classical and quantum theory

Viqar Husain·Jonathan Ziprick
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Abstract

We study the Einstein gravity and dust system in three spacetime dimensions as an example of a non-perturbative quantum gravity model with local degrees of freedom. We derive the Hamiltonian theory in the dust time gauge and show that it has a rich class of exact solutions. These include the Ba\~nados-Teitelboim-Zanelli black hole, static solutions with naked singularities and travelling wave solutions with dynamical horizons. We give a complete quantization of the wave sector of the theory, including a definition of a self-adjoint spacetime metric operator. This operator is used to demonstrate the quantization of deficit angle and the fluctuation of dynamical horizons.

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Viqar Husain, Jonathan Ziprick. 2015-06-02. 3D gravity with dust: classical and quantum theory. https://doi.org/10.1103/physrevd.91.124074

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