{"arxiv_id":"1304.7836","incoming":{"papers":9,"sentences":16,"groups":[{"kind":"method_or_tool","label":"Uses its method or tool","papers":1,"sentences":1,"quotes":[{"arxiv_id":"1608.06246","title":"Callan-Giddings-Harvey-Strominger vacuum in loop quantum gravity and singularity resolution","url":"/paper/1608.06246","section":"Introduction","sentence":"Furthermore, based on a proposal in Refs. [ref] , a redefinition of the scalar constraint is made, such that this constraint admits the standard algebra with the diffeomorphism constraint, while having a vanishing brackets with itself.","intent_p":0.88,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":6,"sentences":6,"quotes":[{"arxiv_id":"1508.03036","title":"Constraint Lie algebra and local physical Hamiltonian for a generic 2D dilatonic model","url":"/paper/1508.03036","section":"General 2D dilaton theories","sentence":"To start, we shall remind the reader that the most general diffeomorphism invariant action yielding second order differential equations for the metric $g_ab$ and a scalar (dilaton) field $Φ$ in two dimensions coupled to a scalar matter field $f$, is [ref] [equation] where $g=(g_ab)$ and $Y(Φ), V((∇Φ)^2,Φ)$ and $W(Φ)$ are model dependent functions of the dilaton field [ref] .","intent_p":0.93,"contests_p":null},{"arxiv_id":"2205.03799","title":"Probing the interior of the Schwarzschild black hole using congruences: LQG vs. GUP","url":"/paper/2205.03799","section":"Introduction","sentence":"In LQG, there have been numerous works studying both the interior and the full spacetime of the Schwarzschild black hole [ref] .","intent_p":0.96,"contests_p":null},{"arxiv_id":"2012.04795","title":"Deformed algebra and the effective dynamics of the interior of black holes","url":"/paper/2012.04795","section":"Introduction","sentence":"In Loop Quantum Gravity (LQG) [ref] which is one of the main nonperturbative approaches to the quantization of gravity, there has been numerous studies of both the interior and the full spacetime of black holes in four and lower dimensions [ref] .","intent_p":1.0,"contests_p":null},{"arxiv_id":"2011.11815","title":"Black hole singularity resolution via the modified Raychaudhuri equation in loop quantum gravity","url":"/paper/2011.11815","section":"Introduction","sentence":"Within LQG, there have been numerous studies of both the interior and the full spacetime of black holes in four and lower dimensions [ref] .","intent_p":0.97,"contests_p":null},{"arxiv_id":"1806.05795","title":"Effective dynamics of the Schwarzschild black hole interior with inverse triad corrections","url":"/paper/1806.05795","section":"Introduction","sentence":"Within loop quantum gravity (LQG) [ref] , there have been numerous works about quantum black holes and their singularity resolution in both mini- and midi-superspace models, to mention a few [ref] .","intent_p":1.0,"contests_p":null}]}],"unlabelled_sentences":9},"outgoing":{"papers":13,"sentences":22,"groups":[{"kind":"method_or_tool","label":"Uses the method or tool of","papers":1,"sentences":1,"quotes":[{"arxiv_id":"1207.6028","title":"Spherically symmetric gravity coupled to a scalar field with a local Hamiltonian: the complete initial-boundary value problem using metric variables","url":"/paper/1207.6028","section":"Gauge fixing the case coupled to matter","sentence":"In more precise way we have [equation] which means that the shift vanishes, [equation] Now, from ([ref]), ([ref]) and ([ref]), the partially gauge fixed total Hamiltonian will become [equation] For the second gauge fixing, we follow the procedure suggested in [ref] .","intent_p":0.88,"contests_p":null}]},{"kind":"comparison","label":"Compares with","papers":1,"sentences":2,"quotes":[{"arxiv_id":"hep-th/9111056","title":"Evanescent Black Holes","url":"/paper/hep-th/9111056","section":"Gauge fixing the vacuum theory","sentence":"Now if we use these transformations in ([ref]), the form of $E^x$ will becomes exactly the same as the form it gets in the vacuum case in the conformal gauge in [ref] .","intent_p":0.87,"contests_p":null}]},{"kind":"background","label":"Cites as background","papers":9,"sentences":9,"quotes":[{"arxiv_id":"hep-th/9111056","title":"Evanescent Black Holes","url":"/paper/hep-th/9111056","section":"Introduction","sentence":"The two dimensional gravitational systems with black hole solutions, specially the CGHS model [ref] , have proven to be a very good test bench to try out various ideas about quantum gravity.","intent_p":1.0,"contests_p":null},{"arxiv_id":"hep-th/9611031","title":"Dirac Quantization of Two-Dimensional Dilaton Gravity Minimally Coupled to N Massless Scalar Fields","url":"/paper/hep-th/9611031","section":"Introduction","sentence":"There is an extensive study of these systems in the literature (for a short list of references see [ref] and the references within them) and there have been numerous attempts to understand some quantum phenomena, such as black hole evaporation, information loss and the asymptotic fate of spacetime, using their black hole solutions.","intent_p":1.0,"contests_p":null},{"arxiv_id":"1012.0077","title":"Evaporation of 2-Dimensional Black Holes","url":"/paper/1012.0077","section":"Introduction","sentence":"There is an extensive study of these systems in the literature (for a short list of references see [ref] and the references within them) and there have been numerous attempts to understand some quantum phenomena, such as black hole evaporation, information loss and the asymptotic fate of spacetime, using their black hole solutions.","intent_p":1.0,"contests_p":null},{"arxiv_id":"gr-qc/9508020","title":"Classical and Quantum Gravity in 1+1 Dimensions, Part I: A Unifying Approach","url":"/paper/gr-qc/9508020","section":"Introduction","sentence":"There is an extensive study of these systems in the literature (for a short list of references see [ref] and the references within them) and there have been numerous attempts to understand some quantum phenomena, such as black hole evaporation, information loss and the asymptotic fate of spacetime, using their black hole solutions.","intent_p":1.0,"contests_p":null},{"arxiv_id":"gr-qc/9608011","title":"Dirac Constraint Quantization of a Dilatonic Model of Gravitational Collapse","url":"/paper/gr-qc/9608011","section":"Introduction","sentence":"There is an extensive study of these systems in the literature (for a short list of references see [ref] and the references within them) and there have been numerous attempts to understand some quantum phenomena, such as black hole evaporation, information loss and the asymptotic fate of spacetime, using their black hole solutions.","intent_p":1.0,"contests_p":null}]}],"unlabelled_sentences":10},"claims":[],"thresholds":{"intent_p":0.8,"supports_p":0.95,"contests_p":0.7},"method":"Citing sentences come from each paper's LaTeX source; every \\cite marks the sentence and the works it cites. Pith's classifier typed each sentence. A label is shown at intent probability 0.8 or more (0.95 for support), a contest at 0.7 or more. Measured accuracy against two blind model families is at https://pith.science/accuracy. The quoted sentences are the citing authors' own.","held_up":null,"_links":{"html":"https://pith.science/paper/1304.7836"}}