A dynamic model of spherical perturbations in the Friedmann universe. i

A self-consistent set of equations describing the evolution of linear spherically symmetrical perturbations in the Friedmann world is derived for an arbitrary equation of state. A singular part of perturbations corresponding to a massive particle-like source is separated, an evolution equation for calculating the source mass is obtained and solved exactly. An exact solution to evolution equations for perturbations at an arbitrary equation of state is constructed. © 2008 Springer Science+Business Media, Inc

A dynamic model of spherical perturbations in the Friedmann Universe. II. Retarded solutions to an ultrarelativistic equation of state

The exact linear retarded spherically symmetrical solutions to the Einstein equations linearized around the Friedmann background are derived and examined for an ultrarelativistic equation of state. The uniqueness of the solutions in class C1 is proved. © 2008 Springer Science+Business Media, Inc

Dynamic model of spherical perturbations in the Friedmann universe. II. retarding solutions for the ultrarelativistic equation of state

Exact linear retarding spherically symmetric solutions of Einstein equations linearized around Friedmann background for the ultrarelativistic equation of state are obtained and investigated. Uniqueness of the solutions in the $C^{1}$ class is proved.Comment: 12 pages, 4 figures, 5 reference

A dynamic model of spherical perturbations in the Friedmann universe. i

A self-consistent set of equations describing the evolution of linear spherically symmetrical perturbations in the Friedmann world is derived for an arbitrary equation of state. A singular part of perturbations corresponding to a massive particle-like source is separated, an evolution equation for calculating the source mass is obtained and solved exactly. An exact solution to evolution equations for perturbations at an arbitrary equation of state is constructed. © 2008 Springer Science+Business Media, Inc

A dynamic model of spherical perturbations in the Friedmann Universe. II. Retarded solutions to an ultrarelativistic equation of state

The exact linear retarded spherically symmetrical solutions to the Einstein equations linearized around the Friedmann background are derived and examined for an ultrarelativistic equation of state. The uniqueness of the solutions in class C1 is proved. © 2008 Springer Science+Business Media, Inc

A dynamic model of spherical perturbations in the Friedmann Universe. II. Retarded solutions to an ultrarelativistic equation of state

The exact linear retarded spherically symmetrical solutions to the Einstein equations linearized around the Friedmann background are derived and examined for an ultrarelativistic equation of state. The uniqueness of the solutions in class C1 is proved. © 2008 Springer Science+Business Media, Inc

A dynamic model of spherical perturbations in the Friedmann Universe. II. Retarded solutions to an ultrarelativistic equation of state

The exact linear retarded spherically symmetrical solutions to the Einstein equations linearized around the Friedmann background are derived and examined for an ultrarelativistic equation of state. The uniqueness of the solutions in class C1 is proved. © 2008 Springer Science+Business Media, Inc

A dynamic model of spherical perturbations in the Friedmann universe. i

A self-consistent set of equations describing the evolution of linear spherically symmetrical perturbations in the Friedmann world is derived for an arbitrary equation of state. A singular part of perturbations corresponding to a massive particle-like source is separated, an evolution equation for calculating the source mass is obtained and solved exactly. An exact solution to evolution equations for perturbations at an arbitrary equation of state is constructed. © 2008 Springer Science+Business Media, Inc