General relativity: An introduction to the theory of the gravitational field

Book · Tue Jan 01 04:00:00 EST 1985

OSTI ID:6986688

Stephani, H

The entire treatment presented here is framed by questions which led to and now lead out of the general theory of relativity: can an absolute acceleration be defined meaningfully. Do gravitational effects propagate with infinite velocity as Newton required. Can the general theory correctly reflect the dynamics of the whole universe while consistently describing stellar evolution. Can a theory which presupposes measurement of properties of space through the interaction of matter be made compatible with a theory in which dimensions of the objects measured are so small that location loses meaning. The book gives the mathematics necessary to understand the theory and begins in Riemannian geometry. Contents, abridged: Foundations of Riemannian geometry. Foundations of Einstein's theory of gravitation. Linearised theory of gravitation, far fields and gravitational waves. Invariant characterisation of exact solutions. Gravitational collapse and black holes. Cosmology. Non-Einsteinian theories of gravitation. Index.

• OSTI ID: 6986688
• Country of Publication: United States
• Language: English

Related Subjects

640102 -- Astrophysics & Cosmology-- Stars & Quasi-Stellar
Radio & X-Ray Sources
640106 -- Astrophysics & Cosmology-- Cosmology
657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALYTICAL SOLUTION
ASTROPHYSICS
BLACK HOLES
COSMOLOGY
FIELD THEORIES
GENERAL RELATIVITY THEORY
GEOMETRY
GRAVITATION
GRAVITATIONAL FIELDS
ITERATIVE METHODS
MATHEMATICAL SPACE
MATHEMATICS
NEWTON METHOD
RELATIVITY THEORY
RIEMANN SPACE
SPACE
STAR EVOLUTION
VELOCITY
WAVE PROPAGATION