Gravitational waves are predicted from general relativity:
http://en.wikipedia.org/wiki/Gravitational_wave
For somebody who wants more details, a good text is here, page 64:
http://www.staff.science.uu.nl/~hooft101/lectures/genrel_2013.pdf
Several attempts to observe gravitational waves have been done till now or are in progress to be created soon:
Laser Interferometer Gravitational-Wave Observatory : http://www.ligo.caltech.edu/ , http://www.ligo-la.caltech.edu/LLO/overviewsci.htm , http://en.wikipedia.org/wiki/LIGOBackground Imaging of Cosmic Extragalactic Polarization: http://www.cfa.harvard.edu/CMB/bicep1/ , http://www.cfa.harvard.edu/CMB/bicep2/ , http://www.cfa.harvard.edu/CMB/keckarray/ , http://www.cfa.harvard.edu/CMB/bicep3/VIRGO: http://en.wikipedia.org/wiki/Virgo_interferometer , http://icfa-nanobeam.web.cern.ch/icfa-nanobeam/paper/Flaminio_Virgo.pdf GEO600: http://en.wikipedia.org/wiki/GEO600TAMA 300: http://en.wikipedia.org/wiki/TAMA_300Kamioka Gravitational Wave Detector (KAGRA), formerly the Large Scale Cryogenic Gravitational Wave Telescope, (LCGT) - proposed - http://en.wikipedia.org/wiki/KAGRALaser Interferometer Space Antenna (LISA) -proposed- : http://en.wikipedia.org/wiki/Laser_Interferometer_Space_AntennaDeci-hertz Interferometer Gravitational wave Observatory DECIGO - proposed- : http://en.wikipedia.org/wiki/Deci-hertz_Interferometer_Gravitational_wave_ObservatoryRecent news from BBC:
http://www.bbc.com/news/science-environment-29168676
A century has already passed.
What if gravitational waves will never be found?