Einstein equations and the joining of discontinuous metrics.

Details Einstein equations and the joining of discontinuous metrics. Einstein equations and the joining of discontinuous metrics.

Dec 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998prama..51..699t&link_type=abstract

Pramāna, Vol. 51, No. 6, p. 699 - 710

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General Relativity: Metrics

Scientific paper

The author considers the problem of joining of metrics when these are not continuous across the joining (hyper-) surface. It is found that a surface tension is always associated in cases where the metrics are discontinuous. In some cases, the joined metrics satisfy Einstein equations (in the sense of distributions) while, in others, the surface tension associated with the limiting discontinuous metric depends on the interpolating functions used to produce it suggesting sensitivity to short distance effects beyond general relativity.

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