An ansatz for spacetimes of zero gravitational mass : global monopoles and textures

Abstract

We propose a geometric ansatz, a restriction on Euclidean / Minkowski distance in the embedding space being propotional to distance in the embedded space, to generate spacetimes with vanishing gravitational mass ($R_{ik}{u}^i{u}^k=0,u_i{u}^i=1$). It turns out that these spacetimes can represent global monopoles and textures. Thus the ansatz is a prescription to generate zero mass spacetimes that could describe topological defects, global monopoles and textures.

9 pages, LaTeX version

References in corpus (4)

• Schwarzschild black hole with global monopole charge
• Vacuum defects without a vacuum
• A Low Matter Density Decaying Vacuum Cosmology from Complex Metric
• A modified Ozer-Taha type cosmological model

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