Mathematics – Logic
Scientific paper
Jan 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992phdt........88b&link_type=abstract
Thesis (PH.D.)--TUFTS UNIVERSITY, 1992.Source: Dissertation Abstracts International, Volume: 53-12, Section: B, page: 6348.
Mathematics
Logic
Cosmology
Scientific paper
We study the gravitational effects of global defects. In Chapter 2 we present an approximate solution of the Einstein equations for the metric outside a monopole resulting from the breaking of a global SO(3) symmetry. The monopole exerts practically no gravitational force on nonrelativistic matter, but the space around it has a deficit solid angle, and all light rays are deflected by the same angle, independent of the impact parameter. We discuss also the cosmological evolution of monopoles. In Chapter 3 we decouple the Einstein and scalar field equations for a self-similar global texture. We reduce the system of equations to a single differential equation for one function. We study some of the properties of the full metric and find expressions for the null radial geodesics. An interesting result is that the metric is asymptotically static (ttoinfty) and describes a space with a deficit solid angle. In section 3F we find approximate analytical solutions to the metric and scalar field of a self-similar texture. We find also a simple expression for the line element in comoving coordinates.
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