Can Gravitation Have a Finite Range?

Can Gravitation Have a Finite Range?

15 DECEMBER 1972 | David G. Boulware* and S. Deser†
The paper by Boulware and Desert explores the possibility of a finite-range gravitational theory. They argue that no acceptable tensor gravitational theory with arbitrarily long but finite range exists. In linear approximation, the infinite-range limit implies a scalar-tensor mixture, which contradicts experimental observations. The presence of a ghost scalar coupling is required to compensate for the additional attractive interaction from the helicity-0 mode. In the massive version of the full Einstein theory, there are six degrees of freedom instead of five, the energy has no lower bound, and the infinite-range limit does not exist. The lowest-order forces are the same as in the linearized theory. The authors conclude that general relativity is an isolated theory and not the limit of a continuous set of long-range models. They also discuss the implications for experimental tests, such as the bending of light by the Sun, and the time delay effect.The paper by Boulware and Desert explores the possibility of a finite-range gravitational theory. They argue that no acceptable tensor gravitational theory with arbitrarily long but finite range exists. In linear approximation, the infinite-range limit implies a scalar-tensor mixture, which contradicts experimental observations. The presence of a ghost scalar coupling is required to compensate for the additional attractive interaction from the helicity-0 mode. In the massive version of the full Einstein theory, there are six degrees of freedom instead of five, the energy has no lower bound, and the infinite-range limit does not exist. The lowest-order forces are the same as in the linearized theory. The authors conclude that general relativity is an isolated theory and not the limit of a continuous set of long-range models. They also discuss the implications for experimental tests, such as the bending of light by the Sun, and the time delay effect.
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