Summary
The maximum possible value ofz, the surface red-shift parameter, is calculated for general-relativistic spheres of perfect fluid whose equations of state satisfy 3P/ϱ<K, whereK is a constant and ϱ does not increase outwards.
Riassunto
Il massimo valore possibile diz, il parametro di spostamento nel rosso di superficie, è calcolato per sfere in relatività generale di un fluido perfetto le cui equazioni di stato soddisfano 3P/ϱ<K, doveK è una costante e ϱ non aumenta verso l’esterno.
Резюме
Вычисляется максимальная возможная величинаz параметра красного смещения для сфер идеальной жидкости в общей теории относительности. Уравнение состояния для этих релятивистских сфер удовлетворяет неравенству 3P/ϱ<K, гдеK есть постоянная величина, а ϱ не выходит за определенные пределы.
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References
H. A. Buchdahl:Phys. Rev.,116, 1027 (1959);Appl. J.,146, 275 (1966).
H. Bondi:Proc. R. Soc. London, Ser. A,282, 303 (1964).
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Anderson, M.R. Upper bounds for the red-shift parameter in perfect-fluid spheres. Nuov Cim B 84, 160–166 (1984). https://doi.org/10.1007/BF02721542
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DOI: https://doi.org/10.1007/BF02721542