Bubble dynamics in the expanding universe

Physics

Scientific paper

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38

Bubbles, Cosmology, Hyperspaces, Universe, Equations Of Motion, Space-Time Functions

Scientific paper

Using the Gauss-Codazzi equations, the behavior of a singular hypersurface, which divides the universe into two Friedmann-Robertson-Walker space-time regions V(+) and V(-), is investigated. The equation of motion for a spherical bubble in the expanding universe is presented, and the physical meaning of the equation is clarified. The equations of state for fluids in V(+, -) and on the boundary shell, which should be determined by microscopic physics, are arbitrary in the present geometrical approach. The derived equations are quite similar to those for a shell in a vacuum and can be applied to the case when one of V(+, -) or both are Schwarzschild-de Sitter space-time too.

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