Expansion-Free Dissipative Fluid Spheres: Analytical Solutions
نویسندگان
چکیده
We search for exact analytical solutions of spherically symmetric dissipative fluid distributions satisfying the vanishing expansion condition (vanishing scalar Θ). To accomplish this, we shall impose additional restrictions allowing integration field equations. The are analyzed, and possible applications to astrophysical scenarios as well alternative approaches obtaining new discussed.
منابع مشابه
Stability of inflationary solutions driven by a changing dissipative fluid
In this paper the second Lyapunov method is used to study the stability of the de Sitter phase of cosmic expansion when the source of the gravitational field is a viscous fluid. Different inflationary scenarios related with reheating and decay of mini-blackholes into radiation are investigated using an effective fluid described by time–varying thermodynamical quantities.
متن کاملIsotropy, shear, symmetry and exact solutions for relativistic fluid spheres
The symmetry method is used to derive solutions of Einstein’s equations for fluid spheres using an isotropic metric and a velocity four vector that is non-comoving. Initially the Lie, classical approach is used to review and provide a connecting framework for many comoving and so shear free solutions. This provides the basis for the derivation of the classical point symmetries for the more gene...
متن کاملDissipative Two-Fluid Models
From Hamilton’s principle of stationary action, we derive governing equations of two-fluid mixtures and extend the model to the dissipative case without chemical reactions. For both conservative and dissipative cases, an algebraic identity connecting equations of momentum, mass, energy and entropy is obtained by extending the Gibbs identity in dynamics. The obtained system is hyperbolic for sma...
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 کاملExact Radial Free Vibration Frequencies of Power-Law Graded Spheres
This study concentrates on the free pure radial vibrations of hollow spheres made of hypothetically functionally simple power rule graded materials having identical inhomogeneity indexes for both Young’s modulus and the density in an analytical manner. After offering the exact elements of the free vibration coefficient matrices for free-free, free-fixed, and fixed-fixed restraints, a parametric...
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: Symmetry
سال: 2023
ISSN: ['0865-4824', '2226-1877']
DOI: https://doi.org/10.3390/sym15030754