{"arxiv_id":"gr-qc/0006014","incoming":{"papers":200,"sentences":302,"groups":[{"kind":"contests","label":"Contests it","papers":1,"sentences":1,"quotes":[{"arxiv_id":"2404.09994","title":"Causality and Energy Conditions in Nonlinear Electrodynamics","url":"/paper/2404.09994","section":"Discussion","sentence":"This has implications for the many claims in the literature (e.g. [ref] ) that certain NLED-Einstein theories have regular black hole solutions[Typically, the regular “core” replacing a Reissner-Nordstrom-type singularity supports a de Sitter metric, and hence violates the SEC.].","intent_p":0.98,"contests_p":0.84}]},{"kind":"extends","label":"Builds on it","papers":1,"sentences":1,"quotes":[{"arxiv_id":"2206.07064","title":"Constraints on singularity resolution by nonlinear electrodynamics","url":"/paper/2206.07064","section":"Electric case","sentence":"Here we have a strong generalization of the Bronnikov's result [ref] .","intent_p":0.99,"contests_p":null}]},{"kind":"method_or_tool","label":"Uses its method or tool","papers":3,"sentences":3,"quotes":[{"arxiv_id":"1805.00240","title":"Electromagnetic perturbations of black holes in general relativity coupled to nonlinear electrodynamics","url":"/paper/1805.00240","section":"GR coupled to NED","sentence":"Below we construct electrically and magnetically charged black hole solutions in general relativity coupled to the NED by the method of Bronnikov [ref] .","intent_p":0.99,"contests_p":null},{"arxiv_id":"2502.13327","title":"Dyonic regular black bounce solutions in General Relativity","url":"/paper/2502.13327","section":"Introduction","sentence":"In this work, our primary objective is to investigate dyonic solutions within the framework of BB geometries in GR, incorporating both magnetic and electric charges in the structure of NLED, following the approach described by Bronnikov [ref] .","intent_p":0.81,"contests_p":null},{"arxiv_id":"2408.08542","title":"Static and stationary loop quantum black bounces","url":"/paper/2408.08542","section":"Source for the LQG-inspired black hole","sentence":"To circumvent this, we will introduce an auxiliary object,$P_μν$, such that [ref] [equation] With this [equation] and we can find $r(P)$.","intent_p":0.99,"contests_p":null}]},{"kind":"comparison","label":"Compares with it","papers":3,"sentences":4,"quotes":[{"arxiv_id":"0804.3944","title":"Some properties of evolving wormhole geometries within nonlinear electrodynamics","url":"/paper/0804.3944","section":"Electromagnetic field equations","sentence":"This result is in close relationship to the regular magnetic black holes coupled to nonlinear electrodynamics found in [ref] .","intent_p":0.97,"contests_p":null},{"arxiv_id":"2604.02402","title":"Thermodynamics and phase transitions of charged-AdS black holes in dRGT massive gravity with nonlinear electrodynamics","url":"/paper/2604.02402","section":"Conclusions","sentence":"More importantly, they are not regular black holes, in contrast to those found in NED models [ref] .","intent_p":1.0,"contests_p":null},{"arxiv_id":"2608.02908","title":"Formation of extremal regular black holes","url":"/paper/2608.02908","section":"Introduction","sentence":"A given such spacetime is thus generated as a vacuum solution for all values of the mass $M$ — differently e.g. from sourcing such regular black holes in general relativity coupled to non-linear electrodynamics [ref] .","intent_p":1.0,"contests_p":null}]},{"kind":"supports_this_paper","label":"Cites it as support","papers":1,"sentences":1,"quotes":[{"arxiv_id":"2408.04714","title":"Einstein-AdS gravity coupled to nonlinear electrodynamics, magnetic black holes, thermodynamics in an extended phase space and Joule--Thomson expansion","url":"/paper/2408.04714","section":"Introduction","sentence":"We consider magnetically charged black holes because electrically charged black holes with NED possessing weak-field Maxwell limit have a singularity [ref] .","intent_p":0.99,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":102,"sentences":112,"quotes":[{"arxiv_id":"1807.09502","title":"Comment on \"Construction of regular black holes in general relativity\"","url":"/paper/1807.09502","section":"Introduction","sentence":"In the recent paper [ref] (Hereafter, we call this paper as FW16.) a general procedure for constructing exact black hole solutions with the electric or magnetic charges in GR coupled to NED based on the initially interesting and useful proposal of Bronnikov [ref] has been developed.","intent_p":0.82,"contests_p":null},{"arxiv_id":"2401.14967","title":"Superradiant instability of a charged regular black hole","url":"/paper/2401.14967","section":"Introduction","sentence":"Regular black holes – black holes seemingly free from curvature singularities – arise in certain theories of nonlinear electrodynamics [ref] (for a recent review see Ref. [ref] ).","intent_p":0.83,"contests_p":null},{"arxiv_id":"1903.03778","title":"Relaxations of perturbations of spacetimes in general relativity coupled to nonlinear electrodynamics","url":"/paper/1903.03778","section":"Background","sentence":"However, in the NED light rays do not follow the null geodesics of the original metric, instead, they propagate along the null geodesics of the effective (or optical) metric which is given by [ref] ds^2 =-1/Ł_F[f(r)dt^2-dr^2/f(r)] +r^2/ΦdΩ^2 , where $Φ=Ł_F+2FŁ_FF$.","intent_p":0.9,"contests_p":null},{"arxiv_id":"1912.08231","title":"Magnetically charged black holes from non-linear electrodynamics and the Event Horizon Telescope","url":"/paper/1912.08231","section":"Introduction","sentence":"Another important example is that of the Bronnikov NLED model [ref] , which instead only sees the appearance of one of the previous two relativistic invariants, and wherein regular BH solutions exist provided they only carry magnetic and not electric charge.","intent_p":0.8,"contests_p":null},{"arxiv_id":"2206.12125","title":"Signatures of regular black holes from the shadow of Sgr A* and M87*","url":"/paper/2206.12125","section":"Black hole in non-linear electrodynamics","sentence":"On the other hand, variation of the action with respect to the metric leads to the Einstein's equations with $L(F)$ as the source, [equation] The first regular black hole solution was proposed by Bardeen [ref] which eventually led to extensive work in this direction [ref] .","intent_p":0.93,"contests_p":null}]}],"unlabelled_sentences":180},"outgoing":{"papers":0,"sentences":0,"groups":[],"unlabelled_sentences":0},"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. 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A paper with fewer citing papers gets a line counted by code, which names uses only: a later paper whose only label is a contest is counted as not described.","line":null,"summary":"3 later papers by other authors are listed below: 1 built on it and 2 used its method or tool."},"_links":{"html":"https://pith.science/paper/gr-qc/0006014"}}