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

Naresh Dadhich·K. Narayan
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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.

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Naresh Dadhich, K. Narayan. 1997-04-28. An ansatz for spacetimes of zero gravitational mass : global monopoles and textures. https://doi.org/10.1023/a%3A1026660907760

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