Belinski–Zakharov transform
The Belinski-Zakharov (inverse) transform, is a nonlinear transformation that generates new exact solutions of the vacuum Einstein's field equation. It was developed by Vladimir Belinski and Vladimir Zakharov in 1978 [1]. The Belinski-Zakharov transform is a generalization of the Inverse scattering transform. The solutions produced by this transform are called gravitational solitons (gravisolitons). Despite the fact the the term 'soliton' is used to describe gravitational solitons, their behavior is very different than other (classical) solitons [2]. In particular, gravitational solitons do not perserve their amplitude and shape in time, and up to the present moment, their general interpretation is unknown.
References
- ^ V. Belinskii and V. Zakharov, Integration of the Einstein Equations by Means of the Inverse Scattering Problem Technique and Construction of Exact Soliton Solutions, Sov. Phys. JETP 48(6) (1978)
- ^ V. Belinski and E. Verdaguer, Gravitational Solitons, Cambridge Monographs on Mathematical Physics (2001)