Complex general relativity /
This book is written for theoretical and mathematical physicists and mat- maticians interested in recent developments in complex general relativity and their application to classical and quantum gravity. Calculations are presented by paying attention to those details normally omitted in research pap...
Saved in:
| Online Access: |
Full text (MCPHS users only) |
|---|---|
| Main Author: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Dordrecht ; Boston :
Kluwer Academic Publishers,
1995
|
| Series: | Fundamental theories of physics ;
v. 69. |
| Subjects: | |
| Local Note: | ProQuest Ebook Central |
MARC
| LEADER | 00000cam a2200000ua 4500 | ||
|---|---|---|---|
| 001 | in00000277854 | ||
| 006 | m o d | ||
| 007 | cr cn||||||||| | ||
| 008 | 941202s1995 ne ob 001 0 eng d | ||
| 005 | 20240703140004.7 | ||
| 019 | |a 228375424 |a 474433652 |a 475462365 |a 614576731 |a 647321562 |a 888488539 |a 923696437 |a 961488361 |a 962698422 |a 1058566510 | ||
| 020 | |a 9780792333401 |q (Cloth) | ||
| 020 | |a 0792333403 |q (Cloth) | ||
| 020 | |a 0306471183 |q (electronic bk.) | ||
| 020 | |a 9780306471186 |q (electronic bk.) | ||
| 020 | |z 0792333403 |q (acid-free paper) | ||
| 029 | 1 | |a AU@ |b 000053228690 | |
| 029 | 1 | |a DEBBG |b BV044091069 | |
| 029 | 1 | |a NZ1 |b 14234356 | |
| 035 | |a (OCoLC)70771532 |z (OCoLC)228375424 |z (OCoLC)474433652 |z (OCoLC)475462365 |z (OCoLC)614576731 |z (OCoLC)647321562 |z (OCoLC)888488539 |z (OCoLC)923696437 |z (OCoLC)961488361 |z (OCoLC)962698422 |z (OCoLC)1058566510 | ||
| 035 | |a (OCoLC)ocm70771532 | ||
| 040 | |a INU |b eng |e pn |c INU |d OCLCQ |d UAB |d EBLCP |d OCLCQ |d DKDLA |d ADU |d E7B |d IDEBK |d OCLCQ |d OCLCF |d OCLCQ |d OCLCO |d YDXCP |d OCLCQ |d COO |d OCLCQ |d AZK |d MOR |d OTZ |d ZCU |d OCLCQ |d MERUC |d OCLCQ |d U3W |d STF |d WRM |d COCUF |d OCLCQ |d CEF |d NRAMU |d ICG |d INT |d VT2 |d OCLCQ |d AU@ |d TKN |d OCLCQ |d DKC |d OCLCQ |d UKAHL |d OCLCO |d SGP |d OCLCQ |d OCLCO | ||
| 050 | 4 | |a QC173.6 |b .E8 1995eb | |
| 082 | 0 | 4 | |a 530.1/1 |2 20 |
| 100 | 1 | |a Esposito, Giampiero. | |
| 245 | 1 | 0 | |a Complex general relativity / |c by Giampiero Esposito. |
| 260 | |a Dordrecht ; |a Boston : |b Kluwer Academic Publishers, |c ©1995. | ||
| 300 | |a 1 online resource (xii, 201 pages). | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a data file |2 rda | ||
| 380 | |a Bibliography | ||
| 490 | 1 | |a Fundamental theories of physics ; |v v. 69 | |
| 504 | |a Includes bibliographical references (pages 187-194) and index. | ||
| 505 | 0 | |a Cover -- Table of Contents -- PREFACE -- PART I: SPINOR FORM OF GENERAL RELATIVITY -- 1. INTRODUCTION TO COMPLEX SPACE-TIME -- 1.1 From Lorentzian Space-Time to Complex Space-Time -- 1.2 Complex Manifolds -- 1.3 An Outline of This Work -- 2. TWO-COMPONENT SPINOR CALCULUS -- 2.1 Two-Component Spinor Calculus . -- 2.2 Curvature in General Relativity -- 2.3 Petrov Classification -- 3. CONFORMAL GRAVITY. -- 3.1 C-Spaces -- 3.2 Einstein Spaces . -- 3.3 Complex Space-Times -- 3.4 Complex Einstein Spaces -- 3.5 Conformal Infinity . -- PART I I : HOLOMORPHIC IDEAS IN GENERAL RELATIVITY -- 4. TWISTOR SPACES -- 4.1 a-Planes in Minkowski Space-Time -- 4.2 a-Surfaces and Twistor Geometry -- 4.3 Geometrical Theory of Partial Differential Equations -- 5. PENROSE TRANSFORM FOR GRAVITATION. -- 5.1 Anti-Self-Dual Space-Times -- 5.2 Beyond Anti-Self-Duality -- 5.3 Twistors as Spin-3/2 Charges -- PART I I I : TORSION AND SUPERSYMMETRY -- 6. COMPLEX SPACE-TIMES WITH TORSION -- 6.1 Introduction -- 6.2 Frobenius' Theorem for Theories with Torsion -- 6.3 Spinor Ricci Identities for Complex U4 Theory -- 6.4 Integrability Condition for a -Surfaces -- 6.5 Concluding Remarks -- 7. S P IN-1/2 FIELDS IN RIEMANNIAN GEOMETRIES -- 7.1 Dirac and Weyl Equations in Two-Component Spinor Form -- 7.2 Boundary Terms for Massless Fermionic Fields -- 7.3 Self-Adjointness of the Boundary-Value Problem -- 7.4 Global Theory of the Dirac Operator -- 8. SPIN-3/2 POTENTIALS -- 8.1 Introduction -- 8.2 Spin-Lowering Operators in Cosmology -- 8.3 Spin-Raising Operators in Cosmology -- 8.4 Dirac s spin 3/2 Potentials in Cosmology -- 8.5 Boundary Conditions in Supergravity -- 8.6 Rarita-Schwinger Potentials and Their Gauge Transformations -- 8.7 Compatibility Conditions -- 8.8 Admissible Background Four-Geometries -- 8.9 Secondary Potentials in Curved Riemannian Backgrounds -- 8.10 Results and Open Problems -- P A R T I V :MATHEMATICAL FOUNDATIONS -- 9 . UNDERLYING MATHEMATICAL STRUCTURES -- 9.1 Introduction -- 9.2 Local Twistors -- 9.3 Global Null Twistors -- 9.4 Hypersurface Twistors -- 9.5 Asymptotic Twistors -- 9.6 Penrose Transform -- 9.7 Ambitwistor Correspondence -- 9.8 Radon Transform -- 9.9Massless Fields as Bundles -- 9.10 Quantization of Field Theories -- PROBLEMS FOR THE READER -- APPENDIX A: Clifford Algebras -- APPENDIX B: Rarita-Schwinger Equations -- APPENDIX C: Fibre Bundles -- APPENDIX D: Sheaf Theory -- BIBLIOGRAPHY -- SUBJECT INDEX. -- Last Page. | |
| 520 | |a This book is written for theoretical and mathematical physicists and mat- maticians interested in recent developments in complex general relativity and their application to classical and quantum gravity. Calculations are presented by paying attention to those details normally omitted in research papers, for pedagogical r- sons. Familiarity with fibre-bundle theory is certainly helpful, but in many cases I only rely on two-spinor calculus and conformally invariant concepts in gravitational physics. The key concepts the book is devoted to are complex manifolds, spinor techniques, conformal gravity, ?-planes, ?-surfaces, Penrose transform, complex 3 1 - - space-time models with non-vanishing torsion, spin- fields and spin- potentials. 2 2 Problems have been inserted at the end, to help the reader to check his und- standing of these topics. Thus, I can find at least four reasons for writing yet another book on spinor and twistor methods in general relativity: (i) to write a textbook useful to - ginning graduate students and research workers, where two-component spinor c- culus is the unifying mathematical language. | ||
| 588 | 0 | |a Print version record. | |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a General relativity (Physics) | |
| 650 | 0 | |a Quantum gravity. | |
| 650 | 0 | |a Supersymmetry. | |
| 776 | 0 | 8 | |i Print version: |a Esposito, Giampiero. |t Complex general relativity. |d Dordrecht ; Boston : Kluwer Academic Publishers, ©1995 |w (DLC) 94048071 |
| 830 | 0 | |a Fundamental theories of physics ; |v v. 69. | |
| 852 | |b E-Collections |h ProQuest | ||
| 856 | 4 | 0 | |u https://ebookcentral.proquest.com/lib/mcphs/detail.action?docID=3035677 |z Full text (MCPHS users only) |t 0 |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH3772761 | ||
| 938 | |a EBL - Ebook Library |b EBLB |n EBL196697 | ||
| 938 | |a ebrary |b EBRY |n ebr10052992 | ||
| 938 | |a ProQuest MyiLibrary Digital eBook Collection |b IDEB |n 53714 | ||
| 938 | |a YBP Library Services |b YANK |n 2292014 | ||
| 947 | |a FLO |x pq-ebc-base | ||
| 999 | f | f | |s 2beb2130-d855-4698-bbbe-910a14186347 |i 4036c556-c279-4ba8-ab40-e056d356d2ad |t 0 |
| 952 | f | f | |a Massachusetts College of Pharmacy and Health Sciences |b Online |c Online |d E-Collections |t 0 |e ProQuest |h Other scheme |
| 856 | 4 | 0 | |t 0 |u https://ebookcentral.proquest.com/lib/mcphs/detail.action?docID=3035677 |y Full text (MCPHS users only) |
