Erratum: Spherically symmetric perfect fluid solutions in isotropic coordinates [J. Math. Phys. 27, 1363 (1986)]
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...
متن کاملNon-Static Spherically Symmetric Perfect Fluid Solutions
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.
متن کاملSpherically symmetric perfect fluid in area-radial coordinates
We study the spherically symmetric collapse of a perfect fluid using arearadial coordinates. Recently, Giambò et al. (Gen. Rel. Grav. (2004) 36 1279 and Class. Quantum Grav. (2003) 20 4943) derived a second-order quasi-linear partial differential equation for the mass function. They claimed that singularities formed in the collapse are naked if the mass function is analytic with respect to the ...
متن کاملA Complete Classification of Spherically Symmetric Perfect Fluid Similarity Solutions
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...
متن کاملAn Asymptotic Analysis of Spherically Symmetric Perfect Fluid Similarity Solutions
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 کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 1987
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.527612