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Inertia and Gravitation - The Fundamental Nature and Structure of Space-Time (Paperback, 2015 ed.)
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Inertia and Gravitation - The Fundamental Nature and Structure of Space-Time (Paperback, 2015 ed.)
Series: Lecture Notes in Physics, 897
Expected to ship within 10 - 15 working days
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This book focuses on the phenomena of inertia and gravitation, one
objective being to shed some new light on the basic laws of
gravitational interaction and the fundamental nature and structures
of spacetime. Chapter 1 is devoted to an extensive, partly new
analysis of the law of inertia. The underlying mathematical and
geometrical structure of Newtonian spacetime is presented from a
four-dimensional point of view, and some historical difficulties
and controversies - in particular the concepts of free particles
and straight lines - are critically analyzed, while connections to
projective geometry are also explored. The relativistic extensions
of the law of gravitation and its intriguing consequences are
studied in Chapter 2. This is achieved, following the works of
Weyl, Ehlers, Pirani and Schild, by adopting a point of view of the
combined conformal and projective structure of spacetime.
Specifically, Mach's fundamental critique of Newton's concepts of
'absolute space' and 'absolute time' was a decisive motivation for
Einstein's development of general relativity, and his equivalence
principle provided a new perspective on inertia. In Chapter 3 the
very special mathematical structure of Einstein's field equations
is analyzed, and some of their remarkable physical predictions are
presented. By analyzing different types of dragging phenomena,
Chapter 4 reviews to what extent the equivalence principle is
realized in general relativity - a question intimately connected to
the 'new force' of gravitomagnetism, which was theoretically
predicted by Einstein and Thirring but which was only recently
experimentally confirmed and is thus of current interest.
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