A variation of Newton's constant G over cosmological time scales would modify the main-squence time of globular cluster (GC) stars. We have calculated the evolution of low-mass stars typical for GCs both for standard nonvarying G and under the assumption of a linear variation of G. The age of the isochrones resulting from the latter models then was chosen such that the isochrones mimicked the standard ones at the turnoff. Since they are indistinguishable from the standard isochrones for ages higher than a few Gyrs, they themselves cannot be used to limit G/G alone. Assuming additionally that the true age of GCs is between 8 and 20 Gyr, and because their apparent age is between 14 and 18 Gyr, we find that today -35x10(-12) yr(-1) less than or similar to G/G less than or similar to 7x10(-12) yr(-1). The upper limit (gravity weaker in the past) is competitive with direct present-day bounds from celestial mechanics. Within independently determined G/G limits a time-varying G as an explanation for the discrepancy between the cosmic expansion age and the apparent GC ages is conceivable.
Time-variation of Newton's constant and the age of globular clusters
DEGL'INNOCENTI, SCILLA;
1996-01-01
Abstract
A variation of Newton's constant G over cosmological time scales would modify the main-squence time of globular cluster (GC) stars. We have calculated the evolution of low-mass stars typical for GCs both for standard nonvarying G and under the assumption of a linear variation of G. The age of the isochrones resulting from the latter models then was chosen such that the isochrones mimicked the standard ones at the turnoff. Since they are indistinguishable from the standard isochrones for ages higher than a few Gyrs, they themselves cannot be used to limit G/G alone. Assuming additionally that the true age of GCs is between 8 and 20 Gyr, and because their apparent age is between 14 and 18 Gyr, we find that today -35x10(-12) yr(-1) less than or similar to G/G less than or similar to 7x10(-12) yr(-1). The upper limit (gravity weaker in the past) is competitive with direct present-day bounds from celestial mechanics. Within independently determined G/G limits a time-varying G as an explanation for the discrepancy between the cosmic expansion age and the apparent GC ages is conceivable.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
