Buchdahl-like transformations for perfect fluid spheres
| dc.creator | Boonserm, Petarpa | |
| dc.creator | Visser, Matt | |
| dc.date | 2007-07-02 | |
| dc.date.accessioned | 2026-07-07T11:17:24Z | |
| dc.date.available | 2026-07-07T11:17:24Z | |
| dc.description | In two previous articles [Phys. Rev. D71 (2005) 124307 (gr-qc/0503007), and gr-qc/0607001] we have discussed several "algorithmic" techniques that permit one (in a purely mechanical way) to generate large classes of general relativistic static perfect fluid spheres. Working in Schwarzschild curvature coordinates, we used these algorithmic ideas to prove several "solution-generating theorems" of varying levels of complexity. In the present article we consider the situation in other coordinate systems: In particular, in general diagonal coordinates we shall generalize our previous theorems, in isotropic coordinates we shall encounter a variant of the so-called "Buchdahl transformation", while in other coordinate systems (such as Gaussian polar coordinates, Synge isothermal coordinates, and Buchdahl coordinates) we shall find a number of more complex "Buchdahl-like transformations" and "solution-generating theorems" that may be used to investigate and classify the general relativistic static perfect fluid sphere. Finally by returning to general diagonal coordinates and making a suitable ansatz for the functional form of the metric components we place the Buchdahl transformation in its most general possible setting. | |
| dc.description | 23 pages | |
| dc.identifier | https://arxiv.org/abs/0707.0146 | |
| dc.identifier | http://arxiv.org/abs/0707.0146 | |
| dc.identifier | Int.J.Mod.Phys.D17:135-163,2008 | |
| dc.identifier | doi:10.1142/S0218271808011912 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/192994 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Buchdahl-like transformations for perfect fluid spheres | |
| dc.type | text |