Spin and Torsion in GravitationV PREFACE This book deals with spin and torsion in gravitation. The earlier on "Introduction to Gravitation" (World Scientific, 1985) gave a detailed exposition of the General Theory of Relativity developed by Einstein and others: in this book (of the year 1985) there is a chapter on the Einstein-Cartan theory and now we like to extend exhaustively this theory, that is the introduction of the spin in General Relativity, considering all possible physical consequences, spin being another universal attribute of matter besides the mass.The spin of elementary particles was to play a profound role in atomic, nuclear and particle physics. The unity of special relativity and quantum mechanics through the Dirac equation led to spectacular new results in physics: the prediction of antiparticles and the intrinsic magnetic moment of elementary particles, to name e few. The spin of elementary particles manifested itself in several new effects in fundamental interactions such as splitting of nuclear energy levels and non-degeneracy of hadronic states in strong interactions, parity violation in weak interactions etc. The fact that the effects of spin when considered in gravitational interactions can also lead to several interesting physical phenomena in both the micro and macroworld is not so well known. The literature is mostly confined to specialized articles read by only those few directly working on the subject. Even most physicists working on gravitation theory are not much aware of the interesting consequences of spin modified gravitational effects, especially those caused by torsion which is the geometric effect of spin in space-time (analogously to mass causing space-time curvature). Spin and Torsion in Gravitation VIThe book we are contemplating could fill this gap and give an exposition of both the old and new results of spin and torsion effects on gravitational interactions with implications for particle physics, cosmology etc.The stress would be more on the physical aspects with a discussion of measurable effects in relation to other areas of physics (with a discussion of orders of magnitude and number involved). We would thus have for instance a discussion of the analogy between torsion and magnetism (with consequences for astrophysics and cosmology), we will consider the Dirac equation in general relativity with torsion developed in a gauge theoretic manner with its implications for weak interactions and for strong interactions. We could have clear cut alternative ways of unifying gravity with electroweak and strong interactions by an energy dependent spin torsion coupling constant. The idea that all interactions can be understood as originating in spin curvature coupling is discussed.The Maxwell equations when coupled to gravity in a space-time with torsion also gives rise to novel effects, there being effects due to polarisation of photons and neutrinos. We have analogy of Faraday polarisation, and other gravimagnetic effects distinct from Lense-Thirring precession, wmith is of...
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