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Quantum Gravity in 2+1 Dimensions
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General relativity becomes vastly simpler in three spacetime dimensions: all vacuum solutions have constant curvature, and the moduli space of solutions can be almost completely characterized. As a result, this lower dimensional setting becomes an ideal test bed for a wide range of approaches to quantum gravity, from reduced phase phase space quantization to covariant canonical quantization to path integral methods to asymptotic quantization of "edge states." Here I review a variety of classical descriptions of the moduli space of solutions and a broad range of quantizations, with special attention to implications for realistic quantum gravity in four spacetime dimensions.
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Cited by 2 Pith papers
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Regular black hole solutions in $(2 + 1)$-dimensional $f(R,T)$ gravity coupled to nonlinear electrodynamics
New families of regular black hole solutions are derived in (2+1)-dimensional f(R,T) gravity with nonlinear electrodynamics, generalizing earlier results and showing that energy-momentum is not conserved.
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Joule-Thomson Effect and Geodesic Structure of Charged AdS Black Holes in f(R,T) Coupled with Nonlinear Electrodynamics
Charge most strongly controls JT inversion and cooling domains of the f(R,T)-NLED AdS black hole; NLED and modified-gravity parameters supply only sub-leading corrections that leave exterior geodesics close to RN-AdS.
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