000 04525nam a22005175i 4500
001 978-3-319-27637-3
003 DE-He213
005 20190213151737.0
007 cr nn 008mamaa
008 160426s2016 gw | s |||| 0|eng d
020 _a9783319276373
_9978-3-319-27637-3
024 7 _a10.1007/978-3-319-27637-3
_2doi
050 4 _aQC178
050 4 _aQC173.5-173.65
072 7 _aPHDV
_2bicssc
072 7 _aSCI033000
_2bisacsh
072 7 _aPHDV
_2thema
072 7 _aPHR
_2thema
082 0 4 _a530.1
_223
100 1 _aRodrigues, Jr, Waldyr A.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 4 _aThe Many Faces of Maxwell, Dirac and Einstein Equations
_h[electronic resource] :
_bA Clifford Bundle Approach /
_cby Waldyr A. Rodrigues, Jr, Edmundo Capelas de Oliveira.
250 _a2nd ed. 2016.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2016.
300 _aXVI, 587 p. 14 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Physics,
_x0075-8450 ;
_v922
505 0 _aPreface -- Introduction -- Multivector and Extensor Calculus -- The Hidden Geometrical Nature of Spinors -- Some Differential Geometry -- Clifford Bundle Approach to the Differential Geometry of Branes -- Some Issues in Relativistic Spacetime Theories -- Clifford and Dirac-Hestenes Spinor Fields -- A Clifford Algebra Lagrangian Formalism in Minkowski Spacetime -- Conservation Laws on Riemann-Cartan and Lorentzian Spacetimes -- The DHE on a RCST and the Meaning of Active Local Lorentz Invariance -- On the Nature of the Gravitational Field -- On the Many Faces of Einstein Equations -- Maxwell, Dirac and Seiberg-Witten Equations -- Superparticles and Superfields -- Maxwell, Einstein, Dirac and Navier-Stokes Equations -- Magnetic Like Particles and Elko Spinor Fields.-Appendices A1-5 -- Acronyms and Abbreviations -- List of Symbols -- Index.
520 _aThis book is an exposition of the algebra and calculus of differential forms, of the Clifford and Spin-Clifford bundle formalisms, and of vistas to a formulation of important concepts of differential geometry indispensable for an in-depth understanding of space-time physics. The formalism discloses the hidden geometrical nature of spinor fields. Maxwell, Dirac and Einstein fields are shown to have representatives by objects of the same mathematical nature, namely sections of an appropriate Clifford bundle. This approach reveals unity in diversity and suggests relationships that are hidden in the standard formalisms and opens new paths for research. This thoroughly revised second edition also adds three new chapters: on the Clifford bundle approach to the Riemannian or semi-Riemannian differential geometry of branes; on Komar currents in the context of the General Relativity theory; and an analysis of the similarities and main differences between Dirac, Majorana and ELKO spinor fields. The exercises with solutions, the comprehensive list of mathematical symbols, and the list of acronyms and abbreviations are provided for self-study for students as well as for classes. From the reviews of the first edition: “The text is written in a very readable manner and is complemented with plenty of worked-out exercises which are in the style of extended examples. ... their book could also serve as a textbook for graduate students in physics or mathematics." (Alberto Molgado, Mathematical Reviews, 2008 k).
650 0 _aGlobal differential geometry.
650 1 4 _aClassical and Quantum Gravitation, Relativity Theory.
_0http://scigraph.springernature.com/things/product-market-codes/P19070
650 2 4 _aMathematical Applications in the Physical Sciences.
_0http://scigraph.springernature.com/things/product-market-codes/M13120
650 2 4 _aDifferential Geometry.
_0http://scigraph.springernature.com/things/product-market-codes/M21022
700 1 _aCapelas de Oliveira, Edmundo.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319276366
776 0 8 _iPrinted edition:
_z9783319276380
830 0 _aLecture Notes in Physics,
_x0075-8450 ;
_v922
856 4 0 _uhttps://doi.org/10.1007/978-3-319-27637-3
912 _aZDB-2-PHA
912 _aZDB-2-LNP
999 _c11733
_d11733