Bubbles in McVittie spacetimes

Details Bubbles in McVittie spacetimes Bubbles in McVittie spacetimes

Jun 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991phdt........22h&link_type=abstract

Ph.D. Thesis Dartmouth Coll., Hanover, NH.

Computer Science

Bubbles, Gravitational Fields, Ideal Fluids, Mass Distribution, Space-Time Functions, Thin Walled Shells, Approximation, Collapse, Einstein Equations, Embedding, Expansion, Universe

Scientific paper

The evolution of bubbles is studied, in the thin shell approximation. Unlike earlier studies, the spacetime outside the bubble is endowed with a non-zero gravitational potential. This is achieved via the McVittie metric, which is a perfect fluid solution of Einstein's field equations corresponding to a spherically symmetric mass distribution embedded in an expanding universe. Numerical integrations show that the 'McVittie' mass of the spacetime affects the growth of the bubble in the expected way: when the McVittie mass is positive, which means that the bubble region is denser than the surrounding spacetime, the shell expands more slowly and is more prone to collapse; when the McVittie mass is negative, which means that the bubble is underdense, the hypersurface will expand more quickly. All calculations are presented in terms of the frame components of the Weyl-Cartan connection.

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