Non-universal gravitational couplings of neutrinos in matter
Jose F. Nieves, Palash B. Pal

TL;DR
This paper calculates how neutrinos' gravitational interactions differ in matter, showing that electron neutrinos couple differently to gravity than other neutrinos, affecting their propagation in gravitational fields.
Contribution
It introduces a detailed calculation of matter-induced gravitational couplings of neutrinos and their impact on neutrino propagation in gravitational potentials.
Findings
Electron neutrinos have distinct gravitational couplings in matter.
Neutrino index of refraction is affected by gravitational potential.
Differences in gravitational coupling could influence neutrino oscillations.
Abstract
When neutrinos travel through a normal matter medium, the electron neutrinos couple differently to gravity compared to the other neutrinos, due to the presence of electrons in the medium and the absence of the other charged leptons. The matter-induced gravitational couplings of the neutrinos under such conditions are calculated and their contribution to the neutrino index of refraction in the presence of a gravitational potential is determined.
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