{"arxiv_id":"1001.0359","incoming":{"papers":20,"sentences":28,"groups":[{"kind":"comparison","label":"Compares with it","papers":2,"sentences":2,"quotes":[{"arxiv_id":"1605.05774","title":"Lux in obscuro: Photon Orbits of Extremal Black Holes Revisited","url":"/paper/1605.05774","section":"Black Holes and Their Photon Orbits","sentence":"This seems to be in conflict with the previous result of [ref] by Pradhan and Majumdar, since in that work it is shown that an extremal asymptotically flat Reissner-Nordström black hole does have a (stable) photon orbit on its event horizon.","intent_p":0.84,"contests_p":null},{"arxiv_id":"2305.04776","title":"Electrically charged regular black holes in nonlinear electrodynamics: light rings, shadows and gravitational lensing","url":"/paper/2305.04776","section":"Light rings (LRs) in the effective geometry","sentence":"These results are similar to those obtained in the RN geometry [ref] .","intent_p":1.0,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":3,"sentences":3,"quotes":[{"arxiv_id":"1608.02202","title":"Photon Spheres and Sonic Horizons in Black Holes from Supergravity and Other Theories","url":"/paper/1608.02202","section":"Photon spheres","sentence":"The occurrence of photon spheres in extremal black holes has been extensively studied, for example in [ref] , and we shall not consider this case further here.","intent_p":1.0,"contests_p":null},{"arxiv_id":"2009.03363","title":"Astrophysical hints for magnetic black holes","url":"/paper/2009.03363","section":"Stable circular orbits near MBHs","sentence":"There have been extensive theoretical studies on stable orbits for test particles, in asymptotically flat Reisnner-Nordstrom spacetimes [ref] , as well as some studies in Reisnner-Nordstrom spacetimes with a non-zero cosmological constant [ref] .","intent_p":0.98,"contests_p":null},{"arxiv_id":"2001.05010","title":"Displaced orbits and electric-magnetic black hole binaries","url":"/paper/2001.05010","section":"Introduction","sentence":"Trajectories of test particles in the RN spacetime have been studied extensively (some recent works can be found in e.g. [ref] ).","intent_p":1.0,"contests_p":null}]}],"unlabelled_sentences":23},"outgoing":{"papers":6,"sentences":8,"groups":[{"kind":"supports_this_paper","label":"Cites as support","papers":1,"sentences":1,"quotes":[{"arxiv_id":"0901.0931","title":"Extremal limits and black hole entropy","url":"/paper/0901.0931","section":"Outlook","sentence":"Our analysis reinforces earlier assertions in the literature [ref] , [ref] that the extremal limit of a generic charged black hole is not necessarily the extremal black hole spacetime.","intent_p":0.99,"contests_p":null}]},{"kind":"background","label":"Cites as background","papers":2,"sentences":2,"quotes":[{"arxiv_id":"0809.3304","title":"Quantum Entropy Function from AdS(2)/CFT(1) Correspondence","url":"/paper/0809.3304","section":"Introduction","sentence":"One aspect related to black hole thermodynamics is the definition of the so-called Entropy Function [ref] used widely nowadays to match the `macroscopic' entropy of a class of extremal black holes emerging in the supergravity limit of string theories, to the `microscopic' entropy obtained from counting of string states [ref] .","intent_p":0.97,"contests_p":null},{"arxiv_id":"gr-qc/9307028","title":"Classical Models of Subatomic Particles","url":"/paper/gr-qc/9307028","section":"Introduction","sentence":"One aspect related to black hole thermodynamics is the definition of the so-called Entropy Function [ref] used widely nowadays to match the `macroscopic' entropy of a class of extremal black holes emerging in the supergravity limit of string theories, to the `microscopic' entropy obtained from counting of string states [ref] .","intent_p":0.97,"contests_p":null}]}],"unlabelled_sentences":5},"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/1001.0359"}}