Inverse scattering theory: Inverse scattering series method for one dimensional non-compact support potential

2014 ◽  
Vol 55 (12) ◽  
pp. 123512 ◽  
Author(s):  
Jie Yao ◽  
Anne-Cécile Lesage ◽  
Bernhard G. Bodmann ◽  
Fazle Hussain ◽  
Donald J. Kouri
Keyword(s):  
Inverse Scattering ◽  
Compact Support ◽  
Scattering Theory ◽  
Series Method ◽  
One Dimensional ◽  
Inverse Scattering Series ◽  
Inverse Scattering Theory

scholarly journals PERTURBATIONS AND STABILITY OF BLACK ELLIPSOIDS

2003 ◽  
Vol 12 (03) ◽  
pp. 461-478 ◽  
Author(s):  
SERGIU I. VACARU
Keyword(s):  
Black Hole ◽  
Inverse Scattering ◽  
Scattering Theory ◽  
Einstein Equations ◽  
Schwarzschild Solution ◽  
Small Eccentricity ◽  
One Dimensional ◽  
Vacuum Einstein Equations ◽  
The One ◽  
Inverse Scattering Theory

We study the perturbations of two classes of static black ellipsoid solutions of four-dimensional vacuum Einstein equations. Such solutions are described by generic off-diagonal metrics which are generated by anholonomic transforms of diagonal metrics. The analysis is performed in the approximation of small eccentricity deformations of the Schwarzschild solution. We conclude that such anisotropic black hole objects may be stable with respect to the perturbations parametrized by the Schrodinger equations in the framework of the one-dimensional inverse scattering theory.

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