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Title: Relativistic Physics in Arbitrary Reference Frames
By (author): Nikolai Mitskievich
ISBN10-13: 1594544255 : 9781594544255
Format: Hardback
Size: 180x260mm
Pages: 166
Weight: .602 Kg.
Published: Nova Science Publishers, Inc (US) - July   2005
List Price: 163.99 Pounds Sterling
Availability: Temporarily Out of Stock, more expected soon 
Subjects: Physics
The concept of reference frame was introduced in physics at an early stage when its formalisation had just begun and even before introduction of systems of co-ordinates and equations of motion; this concept continues to play a fundamental role in science ever since. In this book, the author considers mainly the problem of the description and further applications of reference frames in relativistic physics primarily using a general relativistic approach to them.
Table of Contents:
Preface; Introduction; A general characterisation of the subject; A synopsis of notations of Riemannian geometry; The Noether theorem: space-time invariance; The Noether densities’ transformation laws; Reference frames’ calculus; The monad formalism and its place in the description of reference frames in relativistic physics; Reference frames algebra; Geometry of congruences. Acceleration, rotation, expansion and shear of a reference frame; Differential operations and identities of the monad formalism; Equations of motion of test particles; The electric field strength and magnetic displacement vectors; Monad description of the motion of a test charged mass in gravitational and electromagnetic fields; Motion of photons, the redshift and Doppler effects; The dragging phenomenon; Dragging in circular equatorial orbits in the Kerr space-time; An orbit shift in the Taub–NUT space-time; Dragging in the space-time of a pencil of light; Other dragging effects; More general gravitoelectromagnetic and gravitoelectric phenomena; The Maxwell field equations; The four-dimensional Maxwell equations; The electromagnetic stress-energy tensor and its monad decomposition; Monad representation of Maxwell’s equations; A charged fluid without electric field; An Einstein-Maxwell field with kinematic magnetic charges; The Einstein field equations; The four-dimensional Einstein equations; Monad representation of Einstein’s equations; The geodesic deviation equation and a new level of analogy between gravitation and electromagnetism; New quasi-Maxwellian equations of the gravitational field; Remarks on classification of intrinsic gravitational fields; Example of the Taub-NUT field; Example of the spinning pencil-of-light field; Gravitational fields of the G¨odel universe; Perfect fluids; Introductive remarks; Rank 2 and 3 fields; Free rank 2 field; Free rank 3 field; Rotating fluids; Special relativistic theory; Additional remarks; Mechanics versus field theory; Canonical approach to field theory; Canonical formalism and quantisation; Concluding remarks; References; Index.
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