General relativity, Lauricella's hypergeometric function $F_D$ and the theory of braids
| dc.creator | Kraniotis, G. V. | |
| dc.date | 2007-09-21 | |
| dc.date.accessioned | 2026-07-07T08:31:28Z | |
| dc.date.available | 2026-07-07T08:31:28Z | |
| dc.description | The exact (closed form) solutions of the equations of motion in the theory of general relativity that describe motion of test particle and photon in Kerr and Kerr-(anti) de Sitter spacetimes all involve the multivariable hypergeometric function of Lauricella $F_D$: Kraniotis [Class. Quantum Grav. {\bf 21} 2004, 4743; Class. Quantum Grav. {\bf 22} 2005, 4391; Class. Quantum Grav. {\bf 24} 2007, 1775]. The domain of variables ${\cal D}_n$ of the corresponding function depends on the first integrals of motion associated with the isometries of the Kerr-(anti) de Sitter metric and Carter's constant $Q$ as well as on the cosmological constant $Λ$ and the Kerr (rotation) parameter. In this work we discuss the topological properties of the domain ${\cal D}_n$ and in particular its fundamental connection with the theory of braids. An intrinsic relationship of general relativity with the pure braids is established. | |
| dc.description | 16 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/0709.3391 | |
| dc.identifier | http://arxiv.org/abs/0709.3391 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/138508 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | General relativity, Lauricella's hypergeometric function $F_D$ and the theory of braids | |
| dc.type | text |