Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2005-02-03
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
22 pages, 7 figures, in Esperanto, with Portuguese and English texts also available
Scientific paper
An infinite 3D plate of homogeneous incompressible fluid is considered, with finite thickness, together with a 2D infinite homogeneous mass in its centre. Einstein equations are exactly solved, in the interior of the 3D mass. The solution is joined to the exterior vacuum metric of Taub. Every value for the 2D mass, positive or negative, allows a perfect junction. Also the joining to a vacuum metric of Rindler is shown; if an imperfect joining is allowed, then again every value of the 2D mass is possible. Some of our results contradict assertions foun in the literature. The text is also available in English by e-mail, ask the author. -- Estu nefinhava 3D-a plato de unuforma nepremebla fluido, kun finhava diko, kune kun nefinhava 2D-a plano de unuforma maso en /gia mezo. Ekvacioj de Einstein estas ekzakte solvataj, ene la 3D-a maso. La solvo estas kunigata al la malena metriko de vakuo, de Taub. /Ciu valoro por la 2D-a maso, pozitiva a/u negativa, permesas perfektan kunigon. Anka/u la kunigo al la metriko de vakuo de Rindler estas montrata; se neperfekta kunigo estas akceptata, denove /ciu valoro de la 2D-a maso estas ebla. Kelke da niaj rezultoj kontra/udiras asertojn findatajn en la literaturo.
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