Relationship between solitonic solutions of five-dimensional Einstein equations

We give the relation between the solutions generated by the inverse scattering method and the Baecklund transformation applied to the vacuum five-dimensional Einstein equations. In particular, we show that the two-solitonic solutions generated from an arbitrary diagonal seed by the Baecklund transfo...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Physical review. D, Particles and fields Particles and fields, 2006-11, Vol.74 (10), Article 104004
Hauptverfasser:	Tomizawa, Shinya, Iguchi, Hideo, Mishima, Takashi
Format:	Artikel
Sprache:	eng
Schlagworte:	BAECKLUND TRANSFORMATION COSMOLOGY EINSTEIN FIELD EQUATIONS INVERSE SCATTERING PROBLEM MANY-DIMENSIONAL CALCULATIONS MATHEMATICAL SOLUTIONS PHYSICS OF ELEMENTARY PARTICLES AND FIELDS SOLITONS
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	We give the relation between the solutions generated by the inverse scattering method and the Baecklund transformation applied to the vacuum five-dimensional Einstein equations. In particular, we show that the two-solitonic solutions generated from an arbitrary diagonal seed by the Baecklund transformation are contained within those generated from the same seed by the inverse scattering method.
ISSN:	1550-7998 0556-2821 1550-2368 1089-4918
DOI:	10.1103/PhysRevD.74.104004