Colliding Plane Waves in General Relativity (eBook)

J.B. Griffiths (Autor)

eBook Download: EPUB

2016
256 Seiten
Dover Publications (Verlag)
978-0-486-81098-0 (ISBN)

Infos

This monograph surveys recent research on the collision and interaction of gravitational and electromagnetic waves. "e;This is a particularly important topic in general relativity,"e; the author notes, "e;since the theory predicts that there will be a nonlinear interaction between such waves."e; Geared toward graduate students and researchers in general relativity, the text offers a comprehensive and unified review of the vast literature on the subject.The first eight chapters offer background, presenting the field equations and discussing some qualitative aspects of their solution. Subsequent chapters explore further exact solutions for colliding plane gravitational waves and the collision and interaction of electromagnetic waves. The final chapters summarize all related results for the collision of plane waves of different types and in non-flat backgrounds. A new postscript updates developments since the book's initial 1991 publication.

Autor

J. B. Griffiths is Professor Emeritus in the Department of Mathematical Sciences, Loughborough University, Loughborough, England.

Inhalt

1.Introduction2.Elements of General Relativity3. Colliding Impulsive Gravitational Waves4. Plane Waves5. Geometrical Considerations6. The Field Equations7. Boundary Conditions8. Singularity Structure9. The Szekeres Class of Vacuum Solutions10. Other Vacuum Solutions with Aligned Polarization11. Ernst's Equation for Colliding Gravitational Waves12. Solution-Generating Techniques13. Vacuum Solutions with Non-Aligned Polarization14. The Initial Value Problem15. Colliding Electromagnet Waves: The Bell-Szekeres Solution16. Ernst's Equation for Colliding Electromagnetic Waves17. Colliding Electromagnetic Waves: Exact Solutions18. Colliding Electromagnetic Waves: Diagonal Solutions19. Electromagnetic Waves Colliding with Gravitational Waves20. Other Sources21. Related Results22. Conclusions and ProspectsAppendix: Coordinate SystemsReferencesIndexPostscript    

Produkt-Details

• Erscheint lt. Verlag: 6.4.2016
• Reihe/Serie: Dover Books on Physics
• Sprache: englisch
• Maße: 160 x 160 mm
• Themenwelt: Naturwissenschaften
• Schlagworte: albert einsteins work • colliding plane • colliding plane gravitational waves • collision of gravitational and electromagnetic waves • comprehensive physics review • Einstein Field Equations • electromagnetic waves • Electromagnetric Waves • exact solutions • existence of black holes • experiments • field equations and solutions • general relativity theory • geometric theory of gravitation • graduate students and researchers in general relativity • gravitational waves • Gravity waves • Mathematical & Computational • Mathematical Physics • newtons law of universal gravitation • Nonfiction • nonlinear interaction • Physics • qualitative aspects • Relativity • research of electromagnetic waves • research on collision and interaction of gravitational waves • science and math • science, General Relativity • space and time • Theoretical
• ISBN-10: 0-486-81098-4 / 0486810984
• ISBN-13: 978-0-486-81098-0 / 9780486810980