Gravitational Waves In Einstein's Theory | V. D. Zakharov

 A generalized critical re.view of the re- cent literature on gravitational waves in general relativity. The main emphasis is on mathematically rigorous methods, primarily definitions, tests and criteria which isolate the gravitational fields cor- responding to the solutions of Einstein's equations. Preface by A.Z. Petrov.

CONTENTS: Approximate methods for the investigation of gravitational waves; the Cauchy problem for the Einstein equations; the problem of gravitational waves; Pirani, Bel, Lichnerowicz, Zel- manov, and other criteria; propagation of gravitational waves; plane gravitation- al waves in an absolutely parallel vector field; asymptotic properties o f fields of gravitational radiation; gravitational waves and chronometric invariants; grav- itational waves and the physical experi- ment.