2015
DOI: 10.1007/s10714-015-1899-z
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Neutrino flavor oscillations in a curved space-time

Abstract: Using a WKB approximation of the Dirac equation in a curved spacetime, we obtain the expression for the phase shift between two neutrino mass eigenstates in a generic gravitational field. We apply this expression to two specific space-time geometries, namely the Kerr-Newman metric describing a rotating and charged black hole, and the Friedmann-Robertson-Walker metric.Comment: 15 pages, two figure

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Cited by 47 publications
(30 citation statements)
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References 41 publications
(45 reference statements)
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“…Our approach, indeed, once extended to the fermionic case, and in particular to neutrino fields, may give new insights into the existing formalisms dealing with this topic [9,11,13,14]. Moreover, the problems of the phase shift between two neutrino mass eigenstates [11,15,34] and neutrino spin oscillations in gravitational fields [35] could be investigated. Analyzing field mixing in an accelerated frame may serve as a basis for studying a number of other theoretical problems appearing in such a framework.…”
Section: Discussionmentioning
confidence: 91%
“…Our approach, indeed, once extended to the fermionic case, and in particular to neutrino fields, may give new insights into the existing formalisms dealing with this topic [9,11,13,14]. Moreover, the problems of the phase shift between two neutrino mass eigenstates [11,15,34] and neutrino spin oscillations in gravitational fields [35] could be investigated. Analyzing field mixing in an accelerated frame may serve as a basis for studying a number of other theoretical problems appearing in such a framework.…”
Section: Discussionmentioning
confidence: 91%
“…Here, the normalized expansion rate 3 The value 0.06 eV is the minimal neutrino mass sum allowed within the normal ordering [282], which is mildly favoured by current data [283][284][285][286]. Leaving the neutrino mass as a free parameter would not change our analysis substantially, given the current very tight upper limits on the sum of the neutrino masses [5,283,[287][288][289][290][291][292][293].…”
Section: Overview Of Models and Model Comparisonmentioning
confidence: 96%
“…[7,8], was further used in Refs. [9,10] to study neutrino flavor oscillations in static gravitational backgrounds such as Schwarzchild and Kerr metrics.…”
Section: Introductionmentioning
confidence: 99%
“…2, we adapt the formalism for the description of neutrino flavor oscillations, developed in Refs. [7][8][9][10], to describe the neutrino interaction with a time dependent gravitational field, such as GW. Using the solution of the Hamilton-Jacobi equation for a massive particle in GW, previously obtained in Ref.…”
Section: Introductionmentioning
confidence: 99%