Generating perfect fluid solutions in isotropic coordinates
نویسندگان
چکیده
منابع مشابه
Generating spherically symmetric static perfect fluid solutions
By a choice of new variables the pressure isotropy condition for spherically symmetric static perfect fluid spacetimes can be made a quadratic algebraic equation in one of the two functions appearing in it. Using the other variable as a generating function, the pressure and the density of the fluid can be expressed algebraically by the function and its derivatives. One of the functions in the m...
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Stationary perfect uid con gurations of Einstein's theory of gravity are studied. It is assumed that the 4-velocity of the uid is parallel to the stationary Killing eld, and also, that the norm and the twist potential of the stationary Killing eld are functionally independent. It has been pointed out earlier by one of us (I.R.) that for these perfect uid geometries some of the basic eld equatio...
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Stationary perfect fluid configurations of Einstein’s theory of gravity are studied. It is assumed that the 4-velocity of the fluid is parallel to the stationary Killing field, and also, that the norm and the twist potential of the stationary Killing field are functionally independent. It has been pointed out earlier by one of us (I.R.) that for these perfect fluid geometries some of the basic ...
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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: Annals of Physics
سال: 2020
ISSN: 0003-4916
DOI: 10.1016/j.aop.2020.168192