Mathematical introduction to general relativity / (Record no. 83252)

MARC details
000 -LEADER
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008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
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020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9789811243776
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 530.11 SAS-A
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Sasane, Amol
245 ## - TITLE STATEMENT
Title Mathematical introduction to general relativity /
Statement of responsibility, etc. Amol Sasane
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc. Singapore
Name of publisher, distributor, etc. World Scientific
Date of publication, distribution, etc. 2022
300 ## - PHYSICAL DESCRIPTION
Extent 483 p.
365 ## - TRADE PRICE
Price type code USD
Price amount 158.00.
500 ## - GENERAL NOTE
General note The book aims to give a mathematical presentation of the theory of general relativity (that is, spacetime-geometry-based gravitation theory) to advanced undergraduate mathematics students. Mathematicians will find spacetime physics presented in the definition-theorem-proof format familiar to them. The given precise mathematical definitions of physical notions help avoiding pitfalls, especially in the context of spacetime physics describing phenomena that are counter-intuitive to everyday experiences. In the first part, the differential geometry of smooth manifolds, which is needed to present the spacetime-based gravitation theory, is developed from scratch. Here, many of the illustrating examples are the Lorentzian manifolds which later serve as spacetime models. This has the twofold purpose of making the physics forthcoming in the second part relatable, and the mathematics learnt in the first part less dry. The book uses the modern coordinate-free language of semi-Riemannian geometry. Nevertheless, to familiarize the reader with the useful tool of coordinates for computations, and to bridge the gap with the physics literature, the link to coordinates is made through exercises, and via frequent remarks on how the two languages are related. In the second part, the focus is on physics, covering essential material of the 20th century spacetime-based view of gravity: energy-momentum tensor field of matter, field equation, spacetime examples, Newtonian approximation, geodesics, tests of the theory, black holes, and cosmological models of the universe. Prior knowledge of differential geometry or physics is not assumed. The book is intended for self-study, and the solutions to the (over 200) exercises are included.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Theory of general relativity
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Differential geometry
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Physics literature
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Cosmology
952 ## - LOCATION AND ITEM INFORMATION (KOHA)
Withdrawn status
Holdings
Lost status Source of classification or shelving scheme Damaged status Not for loan Collection code Home library Current library Shelving location Date acquired Total Checkouts Total Renewals Full call number Barcode Checked out Date last seen Date last checked out Price effective from Koha item type Public note
  Dewey Decimal Classification     530 BITS Pilani Hyderabad BITS Pilani Hyderabad General Stack (For lending) 09/12/2022 1 4 530.11 SAS-A 46512 20/10/2025 09/12/2022 09/12/2022 09/12/2022 Books Project Book : Prof. P. K. Sahoo.
An institution deemed to be a University Estd. Vide Sec.3 of the UGC
Act,1956 under notification # F.12-23/63.U-2 of Jun 18,1964
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