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arXiv · 1901.09711

Interpolating the Schwarzschild and de-Sitter metrics

M. Halilsoy·S. Habib Mazharimousavi
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Abstract

The binary potential technique of interpolation (by M. Riesz, Acta Math. 81, 1 (1949)) is applied to some well-known metrics of general relativity. These include Schwarzschild, de Sitter and 2+1-dimensional BTZ spacetimes. In particular, the Schwarzschild-de Sitter solution is analyzed in some detail with a finite range parameter. Reasoning by the high level of non-linearity and absence of a superposition law necessitates search for alternative approaches. We propose the method of interpolation between different spacetimes as one such possibility paving the way toward controlling the two-metric system by a common parameter.

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M. Halilsoy, S. Habib Mazharimousavi. 2019-01-25. Interpolating the Schwarzschild and de-Sitter metrics. https://doi.org/10.1142/s021827181950038x

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