General Relativity: An Introduction For Physicists Provides A Mathematical Introduction To Einstein's Theory Of General Relativity. It Presents A Wide Range Of Applications Of The Theory, Concentrating On Its Physical Consequences. Written For Advanced Undergraduate And Graduate Students, This Textbook Contains Over 300 Exercises To Illuminate And Extend The Discussion In The Text.--jacket. The Spacetime Of Special Relativity -- Manifolds And Coordinates -- Vector Calculus On Manifolds -- Tensor Calculus On Manifolds -- Special Relativity Revisited -- Electromagnetism -- The Equivalence Principle And Spacetime Curvature -- The Gravitational Field Equations -- The Schwarzschild Geometry -- Experimental Tests Of General Relativity -- Schwarzschild Black Holes -- Further Spherically Symmetric Geometries -- The Kerr Geometry -- The Friedmann-robertson-walker Geometry -- Cosmological Models -- Inflationary Cosmology -- Linearised General Relativity -- Gravitational Waves -- A Variational Approach To General Relativity. M.p. Hobson, G.p. Efstathiou And A.n. Lasenby. Includes Bibliographical References (p. 555) And Index.

Hobson, M. P. (Michael Paul), 1967-; Efstathiou, George; Lasenby, A. N. (Anthony N.), 1954-

M P Hobson; George Efstathiou; A N Lasenby

Michael P. Hobson

Cambridge University Press (Virtual Publishing)

United Kingdom and Ireland, United Kingdom

Cambridge UK ; New York, 2006

Illustrated, US, 2006

March 27, 2006

1, 2006

After reviewing the basic concept of general relativity, this introduction discusses its mathematical background, including the necessary tools of tensor calculus and differential geometry. These tools are used to develop the topic of special relativity and to discuss electromagnetism in Minkowski spacetime. Gravitation as spacetime curvature is introduced and the field equations of general relativity derived. After applying the theory to a wide range of physical situations, the book concludes with a brief discussion of classical field theory and the derivation of general relativity from a variational principle.

We begin our discussion of the relativistic theory of gravity by reviewing some basic notions underlying the Newtonian and special-relativistic viewpoints of space and time.

xviii, 572 p. : 26 cm
Includes bibliographical references (p. 555) and index

2023-06-28