Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2002-06-19
Mod.Phys.Lett.A26:1737-1751,2011
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
14 pages, no figure. Enlarged version; added references. In the Schwarzschild case, our results on the non-radial propagation
Scientific paper
10.1142/S0217732311036115
A new method based on Synge's world function is developed for determining within the WKB approximation the gravitationally induced quantum phase shift of a particle propagating in a stationary spacetime. This method avoids any calculation of geodesics. A detailed treatment is given for relativistic particles within the weak field, linear approximation of any metric theory. The method is applied to the calculation of the oscillation terms governing the interference of neutrinos considered as a superposition of two eigenstates having different masses. It is shown that the neutrino oscillations are not sensitive to the gravitomagnetic components of the metric as long as the spin contributions can be ignored. Explicit calculations are performed when the source of the field is a spherical, homogeneous body. A comparison is made with previous results obtained in Schwarzschild spacetime.
Linet Bernard
Teyssandier Pierre
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