Complex General Relativity (Fundamental Theories of Physics)




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Plot : This volume introduces the application of twocomponent spinor calculus and fibrebundle theory to complex general relativity. A review of basic and important topics is presented, such as twocomponent spinor calculus, conformal gravity, twistor spaces for Minkowski spacetime and for curved spacetime, Penrose transform for gravitation, the global theory of the Dirac operator in Riemannian fourmanifolds, various definitions of twistors in curved spacetime and the recent attempt by Penrose to define twistors as spin32 charges in Ricciflat spacetime. Original results include some geometrical properties of complex spacetimes with nonvanishing torsion, the Dirac operator with locally supersymmetric boundary conditions, the application of spinlowering and spinraising operators to elliptic boundary value problems, and the Dirac and RaritaSchwinger forms of spin32 potentials applied in real Riemannian fourmanifolds with boundary. This book is written for students and research workers interested in classical gravity, quantum gravity and geometrical methods in field theory. It can also be recommended as a supplementary graduate textbook.



Author(s) Book :G. Esposito
E-Book Categories :Physics; Mathematical Physics; Relativity; Mathematics; Geometry
Publish Year :1995 Publisher : Springer
You can check by ISBN10: 0792333403; ISBN13: 9780792333401
Pages :214

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