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Spacetime: Foundations of General Relativity and Differential Geometry

Door Marcus Kriele

Categorie
Algemeen wetenschap
Boeknummer
#342626-ZA27
Titel
Spacetime: Foundations of General Relativity and Differential Geometry
Auteur
Kriele, Marcus
Boektype
Gebonden hardcover
Uitgeverij
New York : Springer-Verlag
Jaar van uitgave
1999
ISBN10
3540663770
ISBN13
9783540663775
Taal
Engels
Beschrijving
Original boards, illustrated with numerous equations and diagrams, 8vo. Lecture Notes in Physics Monographs, 59.
Samenvatting
This textbook is for mathematicians and mathematical physicists and is mainly concerned with the physical justification of both the mathematical framework and the foundations of the theory of general relativity. Previous knowledge of the relevant physics is not assumed. This book is also suitable as an introduction to pseudo-Riemannian geometry with emphasis on geometrical concepts. A significant part of the text is devoted to the discussion of causality and singularity theorems. The insights obtained are applied to black hole astrophysics, thereby making the connection to current active research in mathematical physics and cosmology.

One of the most of exciting aspects is the general relativity pred- tion of black holes and the Such Big Bang. predictions gained weight the theorems thro
... (Lees verder)ugh Penrose. singularity pioneered In various by te- books on theorems general relativity singularity are and then presented used to that black holes exist and that the argue universe started with a To date what has big been is bang. a critical of what lacking analysis these theorems predict-' We of really give a proof a typical singul- theorem and this ity use theorem to illustrate problems arising through the of possibilities violations" and "causality weak "shell very crossing These singularities". add to the problems weight of view that the point theorems alone singularity are not sufficient to the existence of predict physical singularities. The mathematical theme of the book In order to both solid gain a of and intuition understanding good for any mathematical theory, one,should to realise it as model of try a a fam- iar non-mathematical theories have had concept. Physical an especially the important on of and impact development mathematics, conversely various modern theories physical rather require sophisticated mathem- ics for their formulation. both and mathematics Today, physics are so that it is often difficult complex to master the theories in both very s- in the of jects. However, case differential pseudo-Riemannian geometry or the general relativity between and mathematics relationship physics is and it is therefore especially close, to from interd- possible profit an ciplinary approach.
Pagina's
420
Conditie
Goed — Name in pen on title page.
Prijs
€ 125,00

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