Relativistic dissipative cosmological models and abel differential equation
نویسندگان
چکیده
منابع مشابه
Relativistic Stellar Models with Quadratic Equation of State
In this paper, we have obtained and presented new relativistic stellar configurations considering an anisotropic fluid distribution with a charge distribution and a gravitational potential Z(x) that depends on an adjustable parameter. The quadratic equation of state based on Feroze and Siddiqui viewpoint is used for the matter distribution. The new solutions can be written in terms of elementar...
متن کاملQualitative Analysis of a Differential Equation of Abel
(an Abel equation in canonical form, see [1, p. 24]) is a useful instrument to display rich qualitative properties such as extendability and finite escape time, stability and instability, boundedness, and periodicity. We show the following: (a) The equation has a unique solution that is defined on (−∞,∞). This solution is periodic. (b) As t increases, each solution is attracted into the strip |...
متن کاملDissipative cosmological solutions
The exact general solution to the Einstein equations in a homogeneous Universe with a full causal viscous fluid source for the bulk viscosity index m = 1/2 is found. We have investigated the asymptotic stability of Friedmann and de Sitter solutions, the former is stable for m ≥ 1/2 and the latter for m ≤ 1/2. The comparison with results of the truncated theory is made. For m = 1/2, it was found...
متن کاملDirac Equation in Standard Cosmological Models
The time equation associated to the Dirac Equation (DE) is studied for the radiation-dominated Friedmann-Robertson-Walker (FRW) universe. The results are analysed for small and large values of time. We also incorporate the corrections of the paper studied by Zecca [1] for the matter-dominated FRW universe. PACS 03.65.Pm-Relativistic wave equations. PACS 04.62-Quantum field theory in curved spac...
متن کاملCenter and Composition Conditions for Abel Differential Equation, and Rational Curves
We consider the Abel Equation ρ′ = p(θ)ρ2 + q(θ)ρ3 (*) with p(θ), q(θ) polynomials in sin θ, cos θ. The center problem for this equation (which is closely related to the classical center problem for polynomial vector fields on the plane) is to find conditions on p and q under which all the solutions ρ(θ) of this equation are periodic, i.e. ρ(0) = ρ(2π) for all initial values ρ(0). We consider t...
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: Computers & Mathematics with Applications
سال: 2003
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(03)90147-7