{"arxiv_id":"2103.09083","incoming":{"papers":1,"sentences":1,"groups":[],"unlabelled_sentences":1},"outgoing":{"papers":49,"sentences":77,"groups":[{"kind":"extends","label":"Builds on","papers":1,"sentences":1,"quotes":[{"arxiv_id":"1908.05118","title":"Charged accelerating black hole in $f(R)$ gravity","url":"/paper/1908.05118","section":"Introduction","sentence":"The accelerating $f(R)$ AdS black hole with charge and rotation and its thermodynamics in the slowly accelerating regime we study in this paper is directly based on the work [ref] , where the thermodynamics of the charged and slowly accelerating $f(R)$ AdS black hole was studied.","intent_p":0.89,"contests_p":null}]},{"kind":"method_or_tool","label":"Uses the method or tool of","papers":10,"sentences":12,"quotes":[{"arxiv_id":"1909.06419","title":"Null hypersurfaces in Kerr-(A)dS spacetimes","url":"/paper/1909.06419","section":"Null hypersurface caustics","sentence":"Following the similar procedures in Refs. [ref] (for simplicity, we here do not show specific calculations), we can know that [equation] if $r>0$.","intent_p":0.96,"contests_p":null},{"arxiv_id":"2007.04354","title":"Null Hypersurfaces in Kerr-Newman-AdS Black Hole and Super-Entropic Black Hole Spacetimes","url":"/paper/2007.04354","section":"Null hypersurface caustics","sentence":"Following the similar procedures in Refs. [ref] (for simplicity, we here do not show specific calculations), we can know that [equation] if $r>0$.","intent_p":0.96,"contests_p":null},{"arxiv_id":"gr-qc/9803080","title":"Quasi-Spherical Light Cones of the Kerr Geometry","url":"/paper/gr-qc/9803080","section":"Null hypersurface caustics","sentence":"Following the similar procedures in Refs. [ref] (for simplicity, we here do not show specific calculations), we can know that [equation] if $r>0$.","intent_p":0.96,"contests_p":null},{"arxiv_id":"1906.03379","title":"Finely Split Phase Transitions of Rotating and Accelerating Black Holes","url":"/paper/1906.03379","section":"Null hypersurface caustics","sentence":"Specifically, the three conditions mentioned above give further constraints to the rotation parameter $a$ (To see how to numerically obtain the range of $a$, one can, for instance, refer to Ref. [ref] ).","intent_p":0.91,"contests_p":null},{"arxiv_id":"1104.3180","title":"Instability of rotating black hole in a limited form of $f(R)$ gravity","url":"/paper/1104.3180","section":"Charged, rotating and accelerating black holes in $f(R)$ gravity","sentence":"To obtain the stationary axially symmetric black hole, inspired by the method used in [ref] and the charged, rotating black hole solution in Einstein gravity [ref] , we can introduce a metric ansatz in Boyer-Lindquist coordinates like the ones in [ref] , where $Δ_r(r)$ and $H_θ(θ)$ are kept as unknown functions.","intent_p":0.99,"contests_p":null}]},{"kind":"comparison","label":"Compares with","papers":4,"sentences":6,"quotes":[{"arxiv_id":"2007.04354","title":"Null Hypersurfaces in Kerr-Newman-AdS Black Hole and Super-Entropic Black Hole Spacetimes","url":"/paper/2007.04354","section":"Null hypersurface caustics","sentence":"Hence, we get our result that the super-entropic accelerating black hole only forms caustic inside the Cauchy horizon of the black hole, being in stark contrast to other super-entropic black holes that develop caustics outside the event horizons mentioned in Refs. [ref] .","intent_p":0.97,"contests_p":null},{"arxiv_id":"2009.13448","title":"Null Hypersurface Caustics, Closed Null Curves, and Super-Entropy","url":"/paper/2009.13448","section":"Null hypersurface caustics","sentence":"Hence, we get our result that the super-entropic accelerating black hole only forms caustic inside the Cauchy horizon of the black hole, being in stark contrast to other super-entropic black holes that develop caustics outside the event horizons mentioned in Refs. 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[ref] .","intent_p":1.0,"contests_p":null},{"arxiv_id":"gr-qc/0701171","title":"Light Cone Structure near Null Infinity of the Kerr Metric","url":"/paper/gr-qc/0701171","section":"Introduction","sentence":"The null hypersurfaces of the Kerr black hole were studied early in 1998 [ref] , followed by Ref. [ref] .","intent_p":1.0,"contests_p":null},{"arxiv_id":"1805.02687","title":"Holographic Thermodynamics of Accelerating Black Holes","url":"/paper/1805.02687","section":"Introduction","sentence":"The AdS accelerating C-metric is more exceptional, as it only describes one black hole when the acceleration is small enough (in a slowly accelerating regime); otherwise, it describes a pair of accelerated black holes [ref] .","intent_p":0.91,"contests_p":null},{"arxiv_id":"gr-qc/0202033","title":"Accelerating black holes in anti-de Sitter universe","url":"/paper/gr-qc/0202033","section":"Introduction","sentence":"The AdS accelerating C-metric is more exceptional, as it only describes one black hole when the acceleration is small enough (in a slowly accelerating regime); otherwise, it describes a pair of accelerated black holes [ref] .","intent_p":0.91,"contests_p":null},{"arxiv_id":"hep-th/0210065","title":"Pair of accelerated black holes in an anti-de Sitter background: the AdS C-metric","url":"/paper/hep-th/0210065","section":"Introduction","sentence":"The AdS accelerating C-metric is more exceptional, as it only describes one black hole when the acceleration is small enough (in a slowly accelerating regime); otherwise, it describes a pair of accelerated black holes [ref] .","intent_p":0.91,"contests_p":null}]}],"unlabelled_sentences":51},"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/2103.09083"}}