The double Schwarzschild solution in bispherical coordinates
Christian Klein, El Mehdi Zejly
TL;DR
This paper presents an explicit conformal transformation and a spectral method for numerically analyzing the double Schwarzschild solution in bispherical coordinates.
Contribution
It introduces a conformal transformation using elliptic functions and a spectral method for numerical reconstruction of the double Schwarzschild spacetime.
Findings
Explicit conformal transformation from Weyl to bispherical coordinates
Development of a multi-domain spectral method for spacetime reconstruction
Numerical analysis of the double Schwarzschild solution in bispherical coordinates
Abstract
The double Schwarzschild solution in the equal mass case is studied in bispherical coordinates. An explicit conformal transformation from cylindrical Weyl coordinates to bispherical coordinates is given in terms of elliptic functions. A multi-domain spectral method for spacetimes in bispherical coordinates is presented to numerically reconstruct this solution.
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