{"id":{"repo_id":"greece","oai_identifier":"oai:10442/1039"},"canonical_url":"https://search.dev.ndltd.org/etd/greece/oai:10442/1039","repository":{"repo_id":"greece","name":"Greek National Archive of PhD Theses","base_url":"https://phdtheses.ekt.gr/eadd_oai/request"},"display":{"title":"ΠΑΡΑΓΩΓΗ ΝΕΩΝ ΑΚΡΙΒΩΝ ΛΥΣΕΩΝ ΤΩΝ ΕΞΙΣΩΣΕΩΝ ΤΟΥ EINSTEIN ΜΕ ΤΗ ΜΕΘΟΔΟ ΤΗΣ ΑΝΤΙΣΤΡΟΦΗΣ ΣΚΕΔΑΣΗΣ ΤΩΝ BELINSKY-ZAKHAROV","abstract":"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.","abstract_html":"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.","abstract_has_math":false,"creators":["Οικονόμου, Αθανάσιος"],"institution":"University of Ioannina","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1989,"date_issued":"1989","date_published":"1989","updated_at":"2026-07-24T02:24:43Z","subjects":["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"],"languages":["gre"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["10.12681/eadd/1039"],"render_values":[{"text":"10.12681/eadd/1039","href":"https://doi.org/10.12681/eadd/1039","code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/10442/hedi/1039","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Οικονόμου, Αθανάσιος"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["1989"]},{"key":"dc:publisher","label":"Institution","values":["University of Ioannina","Πανεπιστήμιο Ιωαννίνων"]},{"key":"dc:type","label":"Dc Type","values":["PhD Thesis"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["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"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["gre"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["10.12681/eadd/1039","http://hdl.handle.net/10442/hedi/1039"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["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.","ΤΟ ΠΡΟΒΛΗΜΑ ΕΥΡΕΣΗΣ ΑΚΡΙΒΩΝ ΛΥΣΕΩΝ ΤΩΝ ΕΞΙΣΩΣΕΩΝ ΤΟΥ EINSTEIN ΑΝΤΙΜΕΤΩΠΙΖΕΤΑΙ ΜΕ ΤΗΝ ΧΡΗΣΗ ΤΗΣ ΜΕΘΟΔΟΥ ΠΑΡΑΓΩΓΗΣ ΝΕΩΝ ΛΥΣΕΩΝ ΤΩΝ BELINSKY-ZAKHAROV (BZ). ΑΥΤΗ ΕΦΑΡΜΟΖΕΤΑΙ ΣΤΙΣ ΠΕΡΙΠΤΩΣΕΙΣ ΧΩΡΟΧΡΟΝΩΝ ΠΟΥ ΔΙΑΘΕΤΟΥΝ ΔΥΟ ΜΕΤΑΤΙΘΕΜΕΝΑ (ΜΗ ΦΩΤΟΝΙΚΑ) ΔΙΑΝΥΣΜΑΤΑ KILLING. Η ΜΕΘΟΔΟΣ ΠΑΡΟΥΣΙΑΖΕΤΑΙ ΣΕ ΜΙΑ ΕΥΧΡΗΣΤΗ ΜΟΡΦΗ ΓΙΑ ΤΗΝΠΕΡΙΠΤΩΣΗ ΔΙΑΓΩΝΙΟΥ ΦΥΤΡΟΥ ΠΟΥ ΕΠΙΤΡΕΠΕΙ ΤΗΝ ΕΥΚΟΛΗ ΠΑΡΑΓΩΓΗ ΛΥΣΕΩΝ ΑΚΟΜΗ ΚΑΙ ΣΤΗΝ ΠΕΡΙΠΤΩΣΗ \"ΔΙΠΛΩΝ ΠΟΛΩΝ\" ΟΠΟΥ Η ΑΡΧΙΚΗ ΒΖ ΜΕΘΟΔΟΣ ΔΕΝ ΕΦΑΡΜΟΖΕΤΑΙ. ΠΟΛΛΕΣ ΝΕΕΣ ΛΥΣΕΙΣ ΚΑΤΑΣΚΕΥΑΖΟΝΤΑΙ ΚΑΙ ΕΡΜΗΝΕΥΟΝΤΑΙ ΦΥΣΙΚΑ ΣΑΝ ΜΟΝΤΕΛΑ ΚΟΣΜΙΚΩΝ ΧΟΡΔΩΝΣΕ ΠΕΡΙΒΑΛΛΟΝ ΚΥΛΙΝΔΡΙΚΩΝ ΚΥΜΑΤΩΝ ΒΑΡΥΤΗΤΑΣ, ΣΑΝ ΠΕΡΙΣΤΡΕΦΟΜΕΝΕΣ ΠΕΡΙΟΡΙΣΜΕΝΕΣΠΗΓΕΣ, ΣΑΝ ΚΟΣΜΟΛΟΓΙΚΑ ΣΟΛΙΤΟΝΙΑ ΚΑΙ ΣΑΝ ΜΟΝΤΕΛΑ ΠΕΡΙΟΧΩΝ ΑΛΛΗΛΕΠΙΔΡΑΣΗΣ ΣΥΓΚΡΟΥΟΜΕΝΩΝ ΕΠΙΠΕΔΩΝ ΚΥΜΑΤΩΝ."]},{"key":"dc:title","label":"Title","values":["ΠΑΡΑΓΩΓΗ ΝΕΩΝ ΑΚΡΙΒΩΝ ΛΥΣΕΩΝ ΤΩΝ ΕΞΙΣΩΣΕΩΝ ΤΟΥ EINSTEIN ΜΕ ΤΗ ΜΕΘΟΔΟ ΤΗΣ ΑΝΤΙΣΤΡΟΦΗΣ ΣΚΕΔΑΣΗΣ ΤΩΝ BELINSKY-ZAKHAROV","GENERATION OF NEW EXACT SOLUTION OF EINSTEIN'S EQUATIONS WITH THE INVERSE SCATTERING METHOD OF BELINSKY AND ZAKHAROV"]}]}],"canonical_facts":{"dc:creator":["Οικονόμου, Αθανάσιος"],"dc:date":["1989"],"dc:description":["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.","ΤΟ ΠΡΟΒΛΗΜΑ ΕΥΡΕΣΗΣ ΑΚΡΙΒΩΝ ΛΥΣΕΩΝ ΤΩΝ ΕΞΙΣΩΣΕΩΝ ΤΟΥ EINSTEIN ΑΝΤΙΜΕΤΩΠΙΖΕΤΑΙ ΜΕ ΤΗΝ ΧΡΗΣΗ ΤΗΣ ΜΕΘΟΔΟΥ ΠΑΡΑΓΩΓΗΣ ΝΕΩΝ ΛΥΣΕΩΝ ΤΩΝ BELINSKY-ZAKHAROV (BZ). ΑΥΤΗ ΕΦΑΡΜΟΖΕΤΑΙ ΣΤΙΣ ΠΕΡΙΠΤΩΣΕΙΣ ΧΩΡΟΧΡΟΝΩΝ ΠΟΥ ΔΙΑΘΕΤΟΥΝ ΔΥΟ ΜΕΤΑΤΙΘΕΜΕΝΑ (ΜΗ ΦΩΤΟΝΙΚΑ) ΔΙΑΝΥΣΜΑΤΑ KILLING. Η ΜΕΘΟΔΟΣ ΠΑΡΟΥΣΙΑΖΕΤΑΙ ΣΕ ΜΙΑ ΕΥΧΡΗΣΤΗ ΜΟΡΦΗ ΓΙΑ ΤΗΝΠΕΡΙΠΤΩΣΗ ΔΙΑΓΩΝΙΟΥ ΦΥΤΡΟΥ ΠΟΥ ΕΠΙΤΡΕΠΕΙ ΤΗΝ ΕΥΚΟΛΗ ΠΑΡΑΓΩΓΗ ΛΥΣΕΩΝ ΑΚΟΜΗ ΚΑΙ ΣΤΗΝ ΠΕΡΙΠΤΩΣΗ \"ΔΙΠΛΩΝ ΠΟΛΩΝ\" ΟΠΟΥ Η ΑΡΧΙΚΗ ΒΖ ΜΕΘΟΔΟΣ ΔΕΝ ΕΦΑΡΜΟΖΕΤΑΙ. ΠΟΛΛΕΣ ΝΕΕΣ ΛΥΣΕΙΣ ΚΑΤΑΣΚΕΥΑΖΟΝΤΑΙ ΚΑΙ ΕΡΜΗΝΕΥΟΝΤΑΙ ΦΥΣΙΚΑ ΣΑΝ ΜΟΝΤΕΛΑ ΚΟΣΜΙΚΩΝ ΧΟΡΔΩΝΣΕ ΠΕΡΙΒΑΛΛΟΝ ΚΥΛΙΝΔΡΙΚΩΝ ΚΥΜΑΤΩΝ ΒΑΡΥΤΗΤΑΣ, ΣΑΝ ΠΕΡΙΣΤΡΕΦΟΜΕΝΕΣ ΠΕΡΙΟΡΙΣΜΕΝΕΣΠΗΓΕΣ, ΣΑΝ ΚΟΣΜΟΛΟΓΙΚΑ ΣΟΛΙΤΟΝΙΑ ΚΑΙ ΣΑΝ ΜΟΝΤΕΛΑ ΠΕΡΙΟΧΩΝ ΑΛΛΗΛΕΠΙΔΡΑΣΗΣ ΣΥΓΚΡΟΥΟΜΕΝΩΝ ΕΠΙΠΕΔΩΝ ΚΥΜΑΤΩΝ."],"dc:identifier":["10.12681/eadd/1039","http://hdl.handle.net/10442/hedi/1039"],"dc:language":["gre"],"dc:publisher":["University of Ioannina","Πανεπιστήμιο Ιωαννίνων"],"dc:subject":["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"],"dc:title":["ΠΑΡΑΓΩΓΗ ΝΕΩΝ ΑΚΡΙΒΩΝ ΛΥΣΕΩΝ ΤΩΝ ΕΞΙΣΩΣΕΩΝ ΤΟΥ EINSTEIN ΜΕ ΤΗ ΜΕΘΟΔΟ ΤΗΣ ΑΝΤΙΣΤΡΟΦΗΣ ΣΚΕΔΑΣΗΣ ΤΩΝ BELINSKY-ZAKHAROV","GENERATION OF NEW EXACT SOLUTION OF EINSTEIN'S EQUATIONS WITH THE INVERSE SCATTERING METHOD OF BELINSKY AND ZAKHAROV"],"dc:type":["PhD Thesis"]},"updated_at":"2026-07-24T02:24:43Z"}