Neutrino oscillations induced by spacetime torsion

Adak, Muzaffer; Dereli, Tekin; Ryder, Lewis

doi:10.1088/0264-9381/18/8/307

Cited by 44 publications

(78 citation statements)

References 14 publications

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“…If we set the rotation parameter a = 0, then (79) gives ∆ r = 3 2h c (S 0 + S 1 ) 2 + (S 2 − 2 3 f N 3 ) 2 + (S 3 + 2 3 f N 2 ) 2 1/2 (82) which means that there is no suppression among the neutrinos and only N 2 and N 3 components of N a contribute to the oscillations. If we further set N a = 0, we reach agreement with our previous results in [8]. It should be clear that the above scheme only works if the neutrino masses are different from in each other and hence, in general, different from zero.…”

Section: Resultssupporting

confidence: 88%

Possible effects of space-time nonmetricity on neutrino oscillations

Adak

Dereli²,

Ryder³

2004

Phys. Rev. D

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The contribution of gravitational neutrino oscillations to the solar neutrino problem is studied by constructing the Dirac Hamiltonian and calculating the corresponding dynamical phase in the vicinity of the Sun in a nonRiemann background Kerr space-time with torsion and non-metricity. We show that certain components of non-metricity and the axial as well as non-axial components of torsion may contribute to neutrino oscillations. We also note that the rotation of the Sun may cause a suppression of transitions among neutrinos. However, the observed solar neutrino deficit could not be explained by any of these effects because they are of the order of Planck scales.

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Section: Resultssupporting

confidence: 88%

Possible effects of space-time nonmetricity on neutrino oscillations

Adak

Dereli²,

Ryder³

2004

Phys. Rev. D

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“…Our contribution is the observation that this torsion wave remains a solution for a general quadratic action (1) and that this fact can be established without having to write down explicitly the field equations.…”

Section: Non-riemannian Pseudoinstantonsmentioning

confidence: 90%

Quadratic metric-affine gravity

Vassiliev

2005

Ann. Phys.

111

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We consider spacetime to be a connected real 4-manifold equipped with a Lorentzian metric and an affine connection. The 10 independent components of the (symmetric) metric tensor and the 64 connection coefficients are the unknowns of our theory. We introduce an action which is quadratic in curvature and study the resulting system of Euler-Lagrange equations. In the first part of the paper we look for Riemannian solutions, i.e. solutions whose connection is Levi-Civita. We find two classes of Riemannian solutions: 1) Einstein spaces, and 2) spacetimes with metric of a pp-wave and parallel Ricci curvature. We prove that for a generic quadratic action these are the only Riemannian solutions. In the second part of the paper we look for non-Riemannian solutions. We define the notion of a "Weyl pseudoinstanton" (metric compatible spacetime whose curvature is purely Weyl) and prove that a Weyl pseudoinstanton is a solution of our field equations. Using the pseudoinstanton approach we construct explicitly a non-Riemannian solution which is a wave of torsion in Minkowski space. We discuss the possibility of using this nonRiemannian solution as a mathematical model for the graviton or the neutrino.

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“…We note that the last equation brings a new information and shows that the matter distribution behaves as a source for φ and g µν as well. The energy-momentum tensor is defined as usual 18) but in the conformal frame it is no longer conserved…”

Section: Scalar-tensor Theory With Torsionmentioning

confidence: 99%

“…Other effect of torsion corresponds to the contribution to neutrino oscillations [18]. Due to the role played by the torsion several authors have already discussed that torsion may have been an important element in the early Universe, when the quantum effects of gravitation were drastically important [19,20].…”

Section: Introductionmentioning

confidence: 99%

Gravitational field around a screwed superconducting cosmic string in scalar-tensor theories

Bezerra

Ferreira

2002

Phys. Rev. D

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We obtain the solution that corresponds to a screwed superconducting cosmic string (SSCS) in the framework of a general scalar-tensor theory including torsion. We investigate the metric of the SSCS in Brans-Dicke theory with torsion and analyze the case without torsion. We show that in the case with torsion the space-time background presents other properties different from that in which torsion is absent. When the spin vanish, this torsion is a φ-gradient and then it propagates outside of the string. We investigate the effect of torsion on the gravitational force and on the geodesics of a test-particle moving around the SSCS. The accretion of matter by wakes formation when a SSCS moves with speed v is investigated. We compare our results with those obtained for cosmic strings in the framework of scalar-tensor theory.

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Neutrino oscillations induced by spacetime torsion

Cited by 44 publications

References 14 publications

Possible effects of space-time nonmetricity on neutrino oscillations

Possible effects of space-time nonmetricity on neutrino oscillations

Quadratic metric-affine gravity

Gravitational field around a screwed superconducting cosmic string in scalar-tensor theories

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