Is there gravitational radiation?
Abstract
It is generally assumed that retardedpotential solutions to the Einstein field equations for the gravitational field of an oscillating source in the linear weakfield approximation are correct for describing the emission of gravitational radiation by the source. The use of the fundamental timesymmetric solution to the Einstein field equations in the cases of electromagnetism and gravitation is discussed along with consequences of adopting that solution in the case of gravitation. It is argued that since the coupling between a proton and a gravitational field is very much smaller than that between a proton and an electromagnetic field, all the matter in the universe is not enough to absorb the outgoing gravitational radiation of an oscillating source. It is concluded that the gravitational field of a given source should be described by means of the timesymmetric solution to the field equations, that a physical system undergoing periodic motion will be surrounded by a gravitational field in the form of standing waves and not lose energy as gravitational radiation, and that there are no free periodic gravitational waves or gravitons in nature.
 Publication:

Nuovo Cimento Lettere
 Pub Date:
 June 1977
 Bibcode:
 1977NCimL..19..249R
 Keywords:

 Einstein Equations;
 Field Theory (Physics);
 Gravitational Waves;
 Coupling;
 Electromagnetic Fields;
 Gravitation Theory;
 Gravitational Fields;
 Gravitons;
 Relativity;
 Symmetry;
 Astrophysics;
 Gravitational Radiation