ΠΑΡΑΓΩΓΗ ΝΕΩΝ ΑΚΡΙΒΩΝ ΛΥΣΕΩΝ ΤΩΝ ΕΞΙΣΩΣΕΩΝ ΤΟΥ EINSTEIN ΜΕ ΤΗ ΜΕΘΟΔΟ ΤΗΣ ΑΝΤΙΣΤΡΟΦΗΣ ΣΚΕΔΑΣΗΣ ΤΩΝ BELINSKY-ZAKHAROV

THE INVERSE SCATTERING METHOD OF BELINSKY-ZAKHAROV (BZ) IS USED FOR THE CONSTRUCTION OF NEW EXACT SOLUTIONS OF THE EINSTEIN EQUATIONS. THIS METHOD IS APPLIED TO SPACETIMES POSSESING TWO COMMUTING (NON-NULL) KILLING VECTORS. THE BZ METHODIS PRESENTED IN A VERY USEFUL FORM IN THE CASE WHERE THE SEED METRIC IS DIAGONAL AND ALLOWS FOR THE EASY GENERATION OF EXACT SELECTIONS EVEN IN THE CASE OF "DOUBLE POLE" WHERE THE INITIAL BZ METHOD CAN NOT BE APPLIED. ALOT OF NEW SOLUTIONS ARE THUS GENERATED AND ARE PHYSICALLY INTERPRETED AS MODELS OF COSMIC STRINGS IN THE ENVIRONMENT OF CYLINDRICAL WAVES, AS ROTATING BOUNDER SOURCES AS COSMOLOGICAL SOLUTIONS AND AS MODELS FOR ONE INTERACTION REGIONS RESULTING AFTER THE COLLISION OF PLANE GRAVITATIONAL WAVES.

Grantor dc:publisher

University of Ioannina

Year dc:date

1989

Author dc:creator

• Οικονόμου, Αθανάσιος

• ΑΚΡΙΒΕΙΣ ΛΥΣΕΙΣ ΤΩΝ ΕΞΙΣΩΣΕΩΝ ΤΟΥ EINSTEIN
• ΑΝΟΜΟΙΟΓΕΝΗ ΚΟΣΜΟΛΟΓΙΚΑ ΜΟΝΤΕΛΛΑ
• Γενική σχετικότητα
• ΚΟΣΜΙΚΕΣ ΧΟΡΔΕΣ
• ΚΥΜΑΤΑ ΒΑΡΥΤΗΤΑΣ (ΚΥΛΙΝΔΡΙΚΑ-ΕΠΙΠΕΔΑ)
• ΜΕΘΟΔΟΙ ΠΑΡΑΓΩΓΗΣΝΕΩΝ ΛΥΣΕΩΝ (ΦΥΤΡΟ-ΠΑΡΑΓΩΓΟ)
• ΠΕΡΙΣΤΡΕΦΟΜΕΝΕΣ ΠΗΓΕΣ
• Σολιτόνια
• ΣΥΓΚΡΟΥΣΕΙΣ ΚΥΜΑΤΩΝ ΒΑΡΥΤΗΤΑΣ
• COLLISIONS OF GRAVITATIONAL WAVES
• Cosmic strings
• EXACT SOLUTIONS OF EINSTEIN'S EQUATIONS
• General relativity
• GRAVITATIONAL WAVES (CYLINDRICAL-PLANE)
• INHOMOGENEOUS COSMOLOGICAL MODELS
• NEW SOLUTION GENERATING TECNIQUES (SEED-PRODUCT
• ROTATING SOURCES
• Solitons
• Φυσικές Επιστήμες
• Φυσική
• Natural Sciences
• Physical Sciences

Language dc:language

gre

Identifier

10.12681/eadd/1039

OAI identifier oai:identifier

oai:10442/1039