000			01955 a2200253 4500
999			_c55049 _d55049
008			210703b ||||| |||| 00| 0 eng d
020			_a9781108837996
082			_a530.11 _bRAH
100			_aRahaman, Farook
245			_aGeneral theory of relativity: a mathematical approach
260			_bCambridge University Press, _c2021. _aNew Delhi:
300			_axxi, 404 p. : ill. ; _bhb, _c24 cm.
365			_aINR _b895.00
504			_aIncludes bibliographical references and index.
520			_aThe general theory of relativity, Einstein's theory of gravitation, has been included as a compulsory subject in undergraduate and graduate courses in Physics and Applied Mathematics all over the world. However, the physics-first approach that is taken by many textbooks is not universally used, as the approach often depends on the instructors' or students' background. Conceived from the lecture notes made by the author over a teaching career spanning 18 years, this book introduces the general theory of relativity for advanced students with a strong mathematical background. The proposed book takes a 'math-first approach' for which the mathematical formalism comes first and is then applied to physics. It presents a concise yet comprehensive and structured understanding of general theory of relativity. The book discusses the mathematical foundation of general theory of relativity and focuses heavily on topics such as tensor calculus, geodesics, Einstein field equations, linearized gravity, Lie derivatives and their applications, causal structure of space-time, rotating black holes and a basic knowledge of cosmology and astrophysics. All of this is explained through a large number of worked examples and exercises.
650			_aRelativity -Physics
650			_aTensor Calculus
650			_aGeodesics
650			_aLinearized Gravity
650			_aBlack Holes
650			_aCosmology
650			_aAstrophysics
942			_2ddc _cTD