L.P. Grishchuk Lomonosov Moscow State University, Shternberg State Astronomical Institute, Universitetskii prosp. 13, Moscow, 119889, Russian Federation
CONTENTS 1. Introduction. Gravitational-wave astronomy in action 940 2. Astronomical manifestations of gravitational waves 941 2.1. The binary radio pulsar PSR 1913 + 16. 2.2. Cataclysmic variables. 2.3. Type I supernovas. 3. Theory and some new results 942 3.1. Mathematical description of gravitational waves. 3.2. Relativistic celestial mechanics. 4. Sources of gravitational waves and modern experimental limits 943 4.1. Pulsed sources. 4.2. Periodic sources. 5. Stochastic background of gravitational waves and the early universe 946 5.1. Quantum production of gravitons. 5.2. Observational bounds on the intensity of the stochastic background and physics of the early universe. 6. Detection of gravitational waves 950 6.1. Brief description of detectors. 6.2. Noise and sensitivity. 7. New ideas and prospects 951 7.1. Kinematic resonance and the memory effect. 7.2. Possibilities of detection of high-frequency relic gravitons. References 953
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