{"arxiv_id":"1007.0863","incoming":{"papers":7,"sentences":10,"groups":[{"kind":"method_or_tool","label":"Uses its method or tool","papers":3,"sentences":3,"quotes":[{"arxiv_id":"1311.4236","title":"Massive neutral particles on heterotic string theory","url":"/paper/1311.4236","section":"Time-like geodesics","sentence":"With the aim to study the motion of massive neutral particles around the GMGHS black hole, we first derive the geodesic equations following the same approach given in [ref] .","intent_p":1.0,"contests_p":null},{"arxiv_id":"1504.07854","title":"Analytical solutions of the geodesic equation in the spacetime of a black hole in f(R) gravity","url":"/paper/1504.07854","section":"CONCLUSIONS","sentence":"For the calculation of the observables analogous formulas to those given in [ref] can be used.","intent_p":0.91,"contests_p":null},{"arxiv_id":"1512.08449","title":"A study of geodesic motion in a (2+1)-dimensional charged BTZ black hole","url":"/paper/1512.08449","section":"Comparision to other cases of paremeter $s$","sentence":"However, they may be solved numerically similar to applied methods in Ref. [ref] .","intent_p":0.94,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":5,"sentences":6,"quotes":[{"arxiv_id":"1504.07854","title":"Analytical solutions of the geodesic equation in the spacetime of a black hole in f(R) gravity","url":"/paper/1504.07854","section":"The orbits","sentence":"For more details on the construction of such solution see e.g. [ref] .","intent_p":0.81,"contests_p":null},{"arxiv_id":"1303.6863","title":"Geodesic motion in the (rotating) black string spacetime","url":"/paper/1303.6863","section":"Introduction","sentence":"Furthermore, the geodesic motion of test particles in field theoretical cosmic string spacetimes were investigated, namely Abelian-Higgs strings [ref] , two interacting Abelian-Higgs strings [ref] and cosmic superstrings [ref] .","intent_p":0.88,"contests_p":null},{"arxiv_id":"1510.08340","title":"Gravitational Rutherford scattering and Keplerian orbits for electrically charged bodies in heterotic string theory","url":"/paper/1510.08340","section":"Introduction","sentence":"Here we can mention the works of Maki & Shiraishi [ref] , Hackmann et al. [ref] , Hartmann & Sirimachan [ref] and Bhadra [ref] , among other authors.","intent_p":0.98,"contests_p":null},{"arxiv_id":"1509.03135","title":"Analytic solutions of the geodesic equation for Einstein-Maxwell-dilaton-axion black holes","url":"/paper/1509.03135","section":"Introduction","sentence":"Moreover, the motion of test particles was studied in various black string spacetimes [ref] including field theoretical cosmic string spacetimes [ref] and black holes pierced by a black string [ref] .","intent_p":0.84,"contests_p":null},{"arxiv_id":"1311.1751","title":"Acceleration of particles in spacetimes of black string","url":"/paper/1311.1751","section":"Introduction","sentence":"Moreover, the solutions of the dynamical equations in the gravitational field of cosmic strings, such as Abelian-Higgs strings [ref] , two interacting Abelian-Higgs strings [ref] , and cosmic superstrings [ref] were mentioned in the paper [ref] .","intent_p":0.98,"contests_p":null}]}],"unlabelled_sentences":1},"outgoing":{"papers":8,"sentences":12,"groups":[{"kind":"comparison","label":"Compares with","papers":2,"sentences":2,"quotes":[{"arxiv_id":"0912.2327","title":"The complete set of solutions of the geodesic equations in the space-time of a Schwarzschild black hole pierced by a cosmic string","url":"/paper/0912.2327","section":"Massive particles $ε=1$","sentence":"However, this type of encirclement has already been observed in the space–time of a Schwarzschild black hole and Kerr black hole, respectively pierced by an infinitely thin cosmic string for sufficiently large deficit angle [ref] .","intent_p":0.9,"contests_p":null},{"arxiv_id":"1006.1761","title":"Test particle motion in the space-time of a Kerr black hole pierced by a cosmic string","url":"/paper/1006.1761","section":"Massive particles $ε=1$","sentence":"However, this type of encirclement has already been observed in the space–time of a Schwarzschild black hole and Kerr black hole, respectively pierced by an infinitely thin cosmic string for sufficiently large deficit angle [ref] .","intent_p":0.9,"contests_p":null}]},{"kind":"background","label":"Cites as background","papers":4,"sentences":4,"quotes":[{"arxiv_id":"0911.3062","title":"Gravitating Semilocal strings","url":"/paper/0911.3062","section":"Conclusions","sentence":"It would also be interesting to study geodesic motion in the space–time of a semilocal string [ref] , which is a solution of the electroweak model with gauge group SU(2)$×$ U(1) in the limit where the Weinberg angle $θ_W=π/2$.","intent_p":0.83,"contests_p":null},{"arxiv_id":"hep-ph/9206229","title":"Semilocal Topological Defects","url":"/paper/hep-ph/9206229","section":"Conclusions","sentence":"It would also be interesting to study geodesic motion in the space–time of a semilocal string [ref] , which is a solution of the electroweak model with gauge group SU(2)$×$ U(1) in the limit where the Weinberg angle $θ_W=π/2$.","intent_p":0.83,"contests_p":null},{"arxiv_id":"0805.4729","title":"Gravitating (field theoretical) cosmic (p,q)-superstrings","url":"/paper/0805.4729","section":"Conclusions","sentence":"Moreover, field theoretical models describing so–called $p$–$q$–strings have been studied recently [ref] . $p$–$q$–strings are supersymmetric bound states of $F$– and $D$–strings and provide one of the examples of strings that might have formed in inflationary models resulting from string theory.","intent_p":0.99,"contests_p":null},{"arxiv_id":"hep-th/0506138","title":"A practical model for cosmic (p,q) superstrings","url":"/paper/hep-th/0506138","section":"Conclusions","sentence":"Moreover, field theoretical models describing so–called $p$–$q$–strings have been studied recently [ref] . $p$–$q$–strings are supersymmetric bound states of $F$– and $D$–strings and provide one of the examples of strings that might have formed in inflationary models resulting from string theory.","intent_p":0.99,"contests_p":null}]}],"unlabelled_sentences":6},"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/1007.0863"}}