Spacetime geometry of static fluid spheres
نویسندگان
چکیده
منابع مشابه
Spacetime geometry of static fluid spheres
We exhibit a simple and explicit formula for the metric of an arbitrary static spherically symmetric perfect fluid spacetime. This class of metrics depends on one freely specifiable monotone non-increasing generating function. We also investigate various regularity conditions, and the constraints they impose. Because we never make any assumptions as to the nature (or even the existence) of an e...
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It is a famous result of relativistic stellar structure that (under mild technical conditions) a static fluid sphere satisfies the Buchdahl–Bondi bound 2M/R 8/9; the surprise here being that the bound is not 2M/R 1. In this paper, we provide further generalizations of this bound by placing a number of constraints on the interior geometry (the metric components), on the local acceleration due to...
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In this paper a new technique of finding static spherically symmetric perfect fluid solutions is presented. This amounts to solving two first order differential equations, one for each of the two metric functions, coupled by a single generating function. The technique can be applied to generate new solutions from previously known solutions. Using the technique a new physically acceptable soluti...
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In a static spherically symmetric Einstein-Maxwell spacetime the class of astrophysical solution found out by Ray and Das (2002) and Pant and Sah (1979) are revisited here in connection to the phenomenological relationship between the gravitational and electromagnetic fields. It is qualitatively shown that the charged relativistic stars of Tolman (1939) and Bayin (1978) type are of purely elect...
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In the present article, a new class of solutions of Einstein field equations is investigated for a spherically symmetric space-time when the source of gravitation is a perfect fluid. All the solutions have been derived by making some suitable arrangements in the field equations. The solutions so obtained have been seen to describe Schwarzschild interior solutions. Most of the solutions are subj...
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ژورنال
عنوان ژورنال: Classical and Quantum Gravity
سال: 2002
ISSN: 0264-9381,1361-6382
DOI: 10.1088/0264-9381/19/5/307