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- W4310632396 abstract "The construction of Quasi-topological gravities in three-dimensions requires coupling a scalar field to the metric. As shown in arXiv:2104.10172, the resulting Electromagnetic Quasi-topological (EQT) theories admit charged black hole solutions characterized by a single-function for the metric, $-g_{tt}=g^{-1}_{rr}equiv f(r)$, and a simple azimuthal form for the scalar. Such black holes, whose metric can be determined fully analytically, generalize the BTZ solution in various ways, including singularity-free black holes without any fine-tuning of couplings or parameters. In this paper we extend the family of EQT theories to general curvature orders. We show that, beyond linear order, $f(r)$ satisfies a second-order differential equation rather than an algebraic one, making the corresponding theories belong to the Electromagnetic Generalized Quasi-topological (EGQT) class. We prove that at each curvature order, the most general EGQT density is given by a single term which contributes nontrivially to the equation of $f(r)$ plus densities which do not contribute at all to such equation. The proof relies on the counting of the exact number of independent order-$n$ densities of the form $mathcal{L}(R_{ab},partial_a phi)$, which we carry out. We study some general aspects of the new families of EGQT black-hole solutions, including their thermodynamic properties and the fulfillment of the first law, and explicitly construct a few of them numerically." @default.
- W4310632396 created "2022-12-13" @default.
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- W4310632396 date "2022-12-01" @default.
- W4310632396 modified "2023-09-27" @default.
- W4310632396 title "Electromagnetic Generalized Quasi-topological gravities in $(2 + 1)$ dimensions" @default.
- W4310632396 doi "https://doi.org/10.48550/arxiv.2212.00637" @default.
- W4310632396 hasPublicationYear "2022" @default.
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