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020 _a9783319150369
_9978-3-319-15036-9
024 7 _a10.1007/978-3-319-15036-9
_2doi
050 4 _aQC178
050 4 _aQC173.5-173.65
072 7 _aPHDV
_2bicssc
072 7 _aSCI033000
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082 0 4 _a530.1
_223
100 1 _aPfister, Herbert.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aInertia and Gravitation
_h[electronic resource] :
_bThe Fundamental Nature and Structure of Space-Time /
_cby Herbert Pfister, Markus King.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2015.
300 _aXII, 180 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 ;
_v897
505 0 _aPreface -- The Laws of Inertia and Gravitation in Newtonian Physics -- Free Particles and Light Rays as Basic Elements of General Relativity -- Einstein’s Field Equations, Their Special Mathematical Structure, and Some of Their Remarkable Physical Predictions -- Mach’s Principle, Dragging Phenomena, and Gravitomagnetism -- A Sketch of the Proof that the Inertial Path Structure Follows from a Local Desargues Property -- Slowly Rotating Mass Shells with Flat Interiors -- Name Index -- Subject Index.
520 _aThis 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.
650 1 4 _aClassical and Quantum Gravitation, Relativity Theory.
_0http://scigraph.springernature.com/things/product-market-codes/P19070
650 2 4 _aHistory and Philosophical Foundations of Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P29000
650 2 4 _aMathematical Physics.
_0http://scigraph.springernature.com/things/product-market-codes/M35000
700 1 _aKing, Markus.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319150376
776 0 8 _iPrinted edition:
_z9783319150352
830 0 _aLecture Notes in Physics,
_x0075-8450 ;
_v897
856 4 0 _uhttps://doi.org/10.1007/978-3-319-15036-9
912 _aZDB-2-PHA
912 _aZDB-2-LNP
999 _c11688
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