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- Title
Interpolating the Schwarzschild and de Sitter metrics.
- Authors
Halilsoy, M.; Mazharimousavi, S. Habib
- Abstract
The binary potential technique of interpolation (by [M. Riesz, Acta Math.81 (1949) 1]) 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 nonlinearity and absence of a superposition law necessitates searching for alternative approaches. We propose the method of interpolation between different spacetimes as one such possibility paving the way toward controling the two-metric system by a common parameter.
- Subjects
INTERPOLATION; GENERAL relativity (Physics); APPROXIMATION theory; GRAVITATION; NONLINEAR equations
- Publication
International Journal of Modern Physics D: Gravitation, Astrophysics & Cosmology, 2019, Vol 28, Issue 2, pN.PAG
- ISSN
0218-2718
- Publication type
Article
- DOI
10.1142/S021827181950038X