Static spherically symmetric perfect fluid solutions inf(R)theories of gravity
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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We investigate solutions of Einstein field equations for the nonstatic spherically symmetric perfect fluid case using different equations of state. The properties of an exact spherically symmetric perfect fluid solutions are obtained which contain shear. We obtain three different solutions out of these one turns out to be an incoherent dust solution and the other two are stiff matter solutions.
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We classify all spherically symmetric perfect fluid solutions of Einstein’s equations with equation of state p = αμ which are self-similar in the sense that all dimensionless variables depend only upon z ≡ r/t. For a given value of α, such solutions are described by two parameters and they can be classified in terms of their behaviour at large and small distances from the origin; this usually c...
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The asymptotic properties of self-similar spherically symmetric perfect fluid solutions with equation of state p = αμ (−1 < α < 1) are described. We prove that for large and small values of the similarity variable, z = r/t, all such solutions must have an asymptotic power-law form. They are associated either with an exact power-law solution, in which case the α > 0 ones are asymptotically Fried...
متن کاملStatic spherically symmetric solutions for conformal gravity in three dimensions
Static spherically symmetric solutions for conformal gravity in three dimensions are found. Black holes and wormholes are included within this class. Asymptotically the black holes are spacetimes of arbitrary constant curvature, and they are conformally related to the matching of different solutions of constant curvature by means of an improper conformal transformation. The wormholes can be con...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 2007
ISSN: 1550-7998,1550-2368
DOI: 10.1103/physrevd.76.064021