Spherically symmetric collapse of a perfect fluid in f(R) 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...
متن کاملSpherically Symmetric Solutions in a New Braneworld Massive Gravity Theory
In this paper, a combination of the braneworld scenario and covariant de Rham-Gabadadze-Tolley (dRGT) massive Gravity theory is proposed. In this setup, the five-dimensional bulk graviton is considered to be massive. The five dimensional nonlinear ghost-free massive gravity theory affects the 3-brane dynamics and the gravitational potential on the brane. Following the solutions with spherical s...
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 کاملFinal fate of the spherically symmetric collapse of a perfect fluid
The final fate of spherically symmetric collapse of a perfect fluid which follows the γ-law equation of state and adiabatic condition is investigated. Full general relativistic hydrodynamics is solved numerically using a retarded time coordinate, the so-called observer time coordinate. Thanks to this coordinate, the causal structure of the resultant space-time is automatically constructed. Then...
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 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: General Relativity and Gravitation
سال: 2016
ISSN: 0001-7701,1572-9532
DOI: 10.1007/s10714-016-2045-2